{"appState":{"pageLoadApiCallsStatus":true},"categoryState":{"relatedCategories":{"headers":{"timestamp":"2025-04-17T16:01:09+00:00"},"categoryId":33806,"data":{"title":"Skills Tests","slug":"skills-tests","image":{"src":null,"width":0,"height":0},"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Teaching","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33800"},"slug":"teaching","categoryId":33800},{"name":"Skills Tests","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33806"},"slug":"skills-tests","categoryId":33806}],"parentCategory":{"categoryId":33800,"title":"Teaching","slug":"teaching","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33800"}},"childCategories":[{"categoryId":33807,"title":"Praxis","slug":"praxis","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33807"},"image":{"src":"/img/background-image-2.fabfbd5c.png","width":0,"height":0},"hasArticle":true,"hasBook":true,"articleCount":136,"bookCount":3},{"categoryId":33808,"title":"General Skills Tests","slug":"general-skills-tests","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33808"},"image":{"src":"/img/background-image-1.daf74cf0.png","width":0,"height":0},"hasArticle":true,"hasBook":true,"articleCount":6,"bookCount":1}],"description":"Teacher, you're a rock star! We'll help you prove it by walking you through the best way to prep for Praxis and other professional testing.","relatedArticles":{"self":"https://dummies-api.dummies.com/v2/articles?category=33806&offset=0&size=5"},"hasArticle":true,"hasBook":true,"articleCount":142,"bookCount":4},"_links":{"self":"https://dummies-api.dummies.com/v2/categories/33806"}},"relatedCategoriesLoadedStatus":"success"},"listState":{"list":{"count":10,"total":143,"items":[{"headers":{"creationTime":"2020-02-24T01:15:23+00:00","modifiedTime":"2023-09-06T13:36:39+00:00","timestamp":"2023-09-06T15:01:02+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Teaching","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33800"},"slug":"teaching","categoryId":33800},{"name":"Skills Tests","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33806"},"slug":"skills-tests","categoryId":33806},{"name":"Praxis","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33807"},"slug":"praxis","categoryId":33807}],"title":"Capitalization: What You Need to Know for the Praxis Core","strippedTitle":"capitalization: what you need to know for the praxis core","slug":"capitalization-what-you-need-to-know-for-the-praxis-core","canonicalUrl":"","seo":{"metaDescription":"For success on the Praxis Core, get to know some of the trickier rules about capitalization, which are the rules the Praxis writing test will ask about.","noIndex":0,"noFollow":0},"content":"When you first began looking into what is or isn’t tested on the <a href=\"https://www.dummies.com/article/academics-the-arts/teaching/skills-tests/praxis/praxis-writing-knowing-the-big-5-grammar-rules-149786/\">Praxis writing exam</a>, your reaction to finding out that there were questions about capitalization was probably something like “There are questions about <em>capitalization</em> on this test?! What am I, in third grade?”\r\n\r\nYes, you almost certainly already know that the first letters of the first words of sentences are capitalized, as are people’s names; the names of proper places like cities, states, or countries; the names of companies like “Facebook”; the names of sports teams and bands; and the words in the titles of books, movies, and so on.\r\n\r\nYou may not, however, know some of the trickier rules about capitalization, and those are the ones that the Praxis writing test will ask about. Here’s a rundown of the most common capitalization-related tricks:\r\n<ul>\r\n \t<li><strong>Titles, like “president”:</strong> Titles, such as “president,” “mayor,” and so forth, are only capitalized when they are placed before the name of, or used to indicate, a <em>specific</em> president or mayor or what have you. So, you should write “Abraham Lincoln was the 16th president,” but “Everyone knows that President Lincoln wore a stovepipe hat.” If you’re talking about the <em>current</em> president (or mayor, or whomever), you capitalize the word even if the person’s name doesn’t appear in the sentence, because you’re still indicating a specific person: “The President held a press conference this morning.”</li>\r\n</ul>\r\n<p style=\"padding-left: 40px;\">The same rule applies for God versus a god: You capitalize “God” when referring to a/the deity with the proper name God, but not when you’re talking about deities in general: “I prayed to God that I would pass the test” versus “Apollo was one of the Greek gods.”</p>\r\n\r\n<ul>\r\n \t<li><strong>The names of seasons:</strong> Many people are unclear about this, but the rule is that the names of seasons are only capitalized if you are addressing the season directly, as you might in a poem. So, you say “I love the way the leaves change color in the fall,” but “Oh, my beloved Fall, how I love it when your leaves change color!”</li>\r\n \t<li><strong>The names of specific regions, even if they are not actual countries:</strong> You should capitalize the names of all proper nouns, and that includes geographical areas that are not technically specific countries, cities, and the like: “My uncle frequently travels to the Far East.” You should <em>not,</em> however, capitalize the names of cardinal directions when they’re just used to indicate directions rather than an areas: “My uncle has to fly east to get to the Far East.” You should also not capitalize the “cardinal direction” part of a name when a suffix is attached to it, because that involves a comparison rather than a proper name, with the exception of cases where the cardinal direction with a comparative suffix is part of an actual proper noun: “Many people don’t realize that northern Brazil lies in the Northern Hemisphere.”</li>\r\n \t<li><strong>Specific eras in history:</strong> The title of a specific period in history, even a slang or unofficial one, is a proper noun and should be capitalized accordingly: “The Disco Era was mercifully short-lived.”</li>\r\n</ul>","description":"When you first began looking into what is or isn’t tested on the <a href=\"https://www.dummies.com/article/academics-the-arts/teaching/skills-tests/praxis/praxis-writing-knowing-the-big-5-grammar-rules-149786/\">Praxis writing exam</a>, your reaction to finding out that there were questions about capitalization was probably something like “There are questions about <em>capitalization</em> on this test?! What am I, in third grade?”\r\n\r\nYes, you almost certainly already know that the first letters of the first words of sentences are capitalized, as are people’s names; the names of proper places like cities, states, or countries; the names of companies like “Facebook”; the names of sports teams and bands; and the words in the titles of books, movies, and so on.\r\n\r\nYou may not, however, know some of the trickier rules about capitalization, and those are the ones that the Praxis writing test will ask about. Here’s a rundown of the most common capitalization-related tricks:\r\n<ul>\r\n \t<li><strong>Titles, like “president”:</strong> Titles, such as “president,” “mayor,” and so forth, are only capitalized when they are placed before the name of, or used to indicate, a <em>specific</em> president or mayor or what have you. So, you should write “Abraham Lincoln was the 16th president,” but “Everyone knows that President Lincoln wore a stovepipe hat.” If you’re talking about the <em>current</em> president (or mayor, or whomever), you capitalize the word even if the person’s name doesn’t appear in the sentence, because you’re still indicating a specific person: “The President held a press conference this morning.”</li>\r\n</ul>\r\n<p style=\"padding-left: 40px;\">The same rule applies for God versus a god: You capitalize “God” when referring to a/the deity with the proper name God, but not when you’re talking about deities in general: “I prayed to God that I would pass the test” versus “Apollo was one of the Greek gods.”</p>\r\n\r\n<ul>\r\n \t<li><strong>The names of seasons:</strong> Many people are unclear about this, but the rule is that the names of seasons are only capitalized if you are addressing the season directly, as you might in a poem. So, you say “I love the way the leaves change color in the fall,” but “Oh, my beloved Fall, how I love it when your leaves change color!”</li>\r\n \t<li><strong>The names of specific regions, even if they are not actual countries:</strong> You should capitalize the names of all proper nouns, and that includes geographical areas that are not technically specific countries, cities, and the like: “My uncle frequently travels to the Far East.” You should <em>not,</em> however, capitalize the names of cardinal directions when they’re just used to indicate directions rather than an areas: “My uncle has to fly east to get to the Far East.” You should also not capitalize the “cardinal direction” part of a name when a suffix is attached to it, because that involves a comparison rather than a proper name, with the exception of cases where the cardinal direction with a comparative suffix is part of an actual proper noun: “Many people don’t realize that northern Brazil lies in the Northern Hemisphere.”</li>\r\n \t<li><strong>Specific eras in history:</strong> The title of a specific period in history, even a slang or unofficial one, is a proper noun and should be capitalized accordingly: “The Disco Era was mercifully short-lived.”</li>\r\n</ul>","blurb":"","authors":[{"authorId":10794,"name":"Carla C. Kirkland","slug":"carla-c-kirkland","description":" <p><b>Carla Kirkland,</b> founder and CEO of the Kirkland Group, an educational consulting firm, has helped educators prepare their students for standardized tests for more than 20 years.</p> <p><b>Chan Cleveland,</b> executive vice president of the Kirkland Group, is an English educator who has developed language arts resources for multiple school districts.</p>","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/10794"}},{"authorId":9384,"name":"Chan Cleveland","slug":"chan-cleveland","description":" <p><b>Carla Kirkland,</b> founder and CEO of the Kirkland Group, an educational consulting firm, has helped educators prepare their students for standardized tests for more than 20 years.</p> <p><b>Chan Cleveland,</b> executive vice president of the Kirkland Group, is an English educator who has developed language arts resources for multiple school districts.</p>","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/9384"}}],"primaryCategoryTaxonomy":{"categoryId":33807,"title":"Praxis","slug":"praxis","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33807"}},"secondaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":[{"articleId":192609,"title":"How to Pray the Rosary: A Comprehensive Guide","slug":"how-to-pray-the-rosary","categoryList":["body-mind-spirit","religion-spirituality","christianity","catholicism"],"_links":{"self":"/articles/192609"}},{"articleId":208741,"title":"Kabbalah For Dummies Cheat Sheet","slug":"kabbalah-for-dummies-cheat-sheet","categoryList":["body-mind-spirit","religion-spirituality","kabbalah"],"_links":{"self":"/articles/208741"}},{"articleId":230957,"title":"Nikon D3400 For Dummies Cheat 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Represented on the Praxis Core Exam","slug":"how-data-is-represented-on-the-praxis-core-exam","categoryList":["academics-the-arts","teaching","skills-tests","praxis"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/268441"}},{"articleId":268435,"title":"How to Narrow Down Answer Choices on the Praxis Math Test","slug":"how-to-narrow-down-answer-choices-on-the-praxis-math-test","categoryList":["academics-the-arts","teaching","skills-tests","praxis"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/268435"}},{"articleId":268426,"title":"Visual- and Quantitative-Information Questions on the Praxis Reading Test","slug":"visual-and-quantitative-information-questions-on-the-praxis-reading-test","categoryList":["academics-the-arts","teaching","skills-tests","praxis"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/268426"}},{"articleId":207653,"title":"Praxis Core For Dummies Cheat Sheet","slug":"praxis-core-for-dummies-cheat-sheet","categoryList":["academics-the-arts","teaching","skills-tests","praxis"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/207653"}}],"fromCategory":[{"articleId":268455,"title":"Identify and Correct Errors in Praxis Core Selected-Response Items","slug":"identify-and-correct-errors-in-praxis-core-selected-response-items","categoryList":["academics-the-arts","teaching","skills-tests","praxis"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/268455"}},{"articleId":268441,"title":"How Data is Represented on the Praxis Core Exam","slug":"how-data-is-represented-on-the-praxis-core-exam","categoryList":["academics-the-arts","teaching","skills-tests","praxis"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/268441"}},{"articleId":268435,"title":"How to Narrow Down Answer Choices on the Praxis Math Test","slug":"how-to-narrow-down-answer-choices-on-the-praxis-math-test","categoryList":["academics-the-arts","teaching","skills-tests","praxis"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/268435"}},{"articleId":268426,"title":"Visual- and Quantitative-Information Questions on the Praxis Reading Test","slug":"visual-and-quantitative-information-questions-on-the-praxis-reading-test","categoryList":["academics-the-arts","teaching","skills-tests","praxis"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/268426"}},{"articleId":254476,"title":"How to Register for the Praxis Exam","slug":"register-praxis-core-academic-skills-educators-exam","categoryList":["academics-the-arts","teaching","skills-tests","praxis"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/254476"}}]},"hasRelatedBookFromSearch":false,"relatedBook":{"bookId":282492,"slug":"praxis-core-for-dummies-with-online-practice-tests-3rd-edition","isbn":"9781119888178","categoryList":["academics-the-arts","teaching","skills-tests","praxis"],"amazon":{"default":"https://www.amazon.com/gp/product/1119888174/ref=as_li_tl?ie=UTF8&tag=wiley01-20","ca":"https://www.amazon.ca/gp/product/1119888174/ref=as_li_tl?ie=UTF8&tag=wiley01-20","indigo_ca":"http://www.tkqlhce.com/click-9208661-13710633?url=https://www.chapters.indigo.ca/en-ca/books/product/1119888174-item.html&cjsku=978111945484","gb":"https://www.amazon.co.uk/gp/product/1119888174/ref=as_li_tl?ie=UTF8&tag=wiley01-20","de":"https://www.amazon.de/gp/product/1119888174/ref=as_li_tl?ie=UTF8&tag=wiley01-20"},"image":{"src":"https://www.dummies.com/wp-content/uploads/praxis-core-2023-2024-for-dummies-cover-9781119888178-199x255.jpg","width":199,"height":255},"title":"Praxis Core 2023-2024 For Dummies","testBankPinActivationLink":"","bookOutOfPrint":true,"authorsInfo":"<p><b>Carla Kirkland,</b> founder and CEO of the Kirkland Group, an educational consulting firm, has helped educators prepare their students for standardized tests for more than 20 years.</p> <p><b>Chan Cleveland,</b> executive vice president of the Kirkland Group, is an English educator who has developed language arts resources for multiple school districts.</p> <p><b>Carla Kirkland,</b> founder and CEO of the Kirkland Group, an educational consulting firm, has helped educators prepare their students for standardized tests for more than 20 years.</p> <p><b><b data-author-id=\"9384\">Chan Cleveland</b>,</b> executive vice president of the Kirkland Group, is an English educator who has developed language arts resources for multiple school districts.</p>","authors":[{"authorId":10794,"name":"Carla C. Kirkland","slug":"carla-c-kirkland","description":" <p><b>Carla Kirkland,</b> founder and CEO of the Kirkland Group, an educational consulting firm, has helped educators prepare their students for standardized tests for more than 20 years.</p> <p><b>Chan Cleveland,</b> executive vice president of the Kirkland Group, is an English educator who has developed language arts resources for multiple school districts.</p>","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/10794"}},{"authorId":9384,"name":"Chan Cleveland","slug":"chan-cleveland","description":" <p><b>Carla Kirkland,</b> founder and CEO of the Kirkland Group, an educational consulting firm, has helped educators prepare their students for standardized tests for more than 20 years.</p> <p><b>Chan Cleveland,</b> executive vice president of the Kirkland Group, is an English educator who has developed language arts resources for multiple school districts.</p>","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/9384"}}],"_links":{"self":"https://dummies-api.dummies.com/v2/books/"}},"collections":[],"articleAds":{"footerAd":"<div class=\"du-ad-region row\" id=\"article_page_adhesion_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_adhesion_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;teaching&quot;,&quot;skills-tests&quot;,&quot;praxis&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[&quot;9781119888178&quot;]}]\" id=\"du-slot-64f8942eeae35\"></div></div>","rightAd":"<div class=\"du-ad-region row\" id=\"article_page_right_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_right_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;teaching&quot;,&quot;skills-tests&quot;,&quot;praxis&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[&quot;9781119888178&quot;]}]\" id=\"du-slot-64f8942eeb77c\"></div></div>"},"articleType":{"articleType":"Articles","articleList":null,"content":null,"videoInfo":{"videoId":null,"name":null,"accountId":null,"playerId":null,"thumbnailUrl":null,"description":null,"uploadDate":null}},"sponsorship":{"sponsorshipPage":false,"backgroundImage":{"src":null,"width":0,"height":0},"brandingLine":"","brandingLink":"","brandingLogo":{"src":null,"width":0,"height":0},"sponsorAd":"","sponsorEbookTitle":"","sponsorEbookLink":"","sponsorEbookImage":{"src":null,"width":0,"height":0}},"primaryLearningPath":"Advance","lifeExpectancy":"One year","lifeExpectancySetFrom":"2023-09-06T00:00:00+00:00","dummiesForKids":"no","sponsoredContent":"no","adInfo":"","adPairKey":[]},"status":"publish","visibility":"public","articleId":268458},{"headers":{"creationTime":"2018-07-26T02:12:36+00:00","modifiedTime":"2022-12-14T17:44:00+00:00","timestamp":"2022-12-14T18:01:03+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Teaching","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33800"},"slug":"teaching","categoryId":33800},{"name":"Skills Tests","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33806"},"slug":"skills-tests","categoryId":33806},{"name":"Praxis","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33807"},"slug":"praxis","categoryId":33807}],"title":"How to Register for the Praxis Exam","strippedTitle":"how to register for the praxis exam","slug":"register-praxis-core-academic-skills-educators-exam","canonicalUrl":"","seo":{"metaDescription":"Before you register to take the Praxis, check with the local department of education to make sure you’re taking the right test. Don’t ask ETS or your mom or any","noIndex":0,"noFollow":0},"content":"Before you register to take the Praxis, check with the local department of education to make sure you’re taking the right test. Don’t ask ETS or your mom or anyone else who isn’t in a position to admit you to a teaching program; they may give you wrong information, which can lead to wasted time and money.\r\n\r\nYou can find out how to register to take the Praxis Core by going to <a href=\"http://www.ets.org/\">the ETS website</a>. The Praxis Core is offered during testing windows at more than 300 Prometric testing sites across the country. Contact your local testing site for specific questions regarding its testing windows. Test-takers must register at least three days prior to their intended test date, and you must pay the testing fee online. At the time of this writing, individual tests (reading, writing, or mathematics) cost $90; the price to take all three tests at once (on the same day) is discounted to $150.\r\n\r\nAfter you register, read all the admission ticket info to make sure all the content is correct. Contact ETS if you have any disabilities that require accommodations.\r\n<p class=\"article-tips tip\">Consider taking one test per day instead of multiple tests per day. You know your limits and abilities. Some people take all three tests on the same day, and they bomb all three. If you aren’t super confident that you can pass multiple tests in one sitting, you may want to schedule them for different days. This approach will also help you map out your study plan more strategically (see the next section). You can study for one test at a time instead of all three.</p>","description":"Before you register to take the Praxis, check with the local department of education to make sure you’re taking the right test. Don’t ask ETS or your mom or anyone else who isn’t in a position to admit you to a teaching program; they may give you wrong information, which can lead to wasted time and money.\r\n\r\nYou can find out how to register to take the Praxis Core by going to <a href=\"http://www.ets.org/\">the ETS website</a>. The Praxis Core is offered during testing windows at more than 300 Prometric testing sites across the country. Contact your local testing site for specific questions regarding its testing windows. Test-takers must register at least three days prior to their intended test date, and you must pay the testing fee online. At the time of this writing, individual tests (reading, writing, or mathematics) cost $90; the price to take all three tests at once (on the same day) is discounted to $150.\r\n\r\nAfter you register, read all the admission ticket info to make sure all the content is correct. Contact ETS if you have any disabilities that require accommodations.\r\n<p class=\"article-tips tip\">Consider taking one test per day instead of multiple tests per day. You know your limits and abilities. Some people take all three tests on the same day, and they bomb all three. If you aren’t super confident that you can pass multiple tests in one sitting, you may want to schedule them for different days. This approach will also help you map out your study plan more strategically (see the next section). You can study for one test at a time instead of all three.</p>","blurb":"","authors":[{"authorId":10794,"name":"Carla C. Kirkland","slug":"carla-c-kirkland","description":" <p><b>Carla Kirkland,</b> founder and CEO of the Kirkland Group, an educational consulting firm, has helped educators prepare their students for standardized tests for more than 20 years.</p> <p><b>Chan Cleveland,</b> executive vice president of the Kirkland Group, is an English educator who has developed language arts resources for multiple school districts.</p>","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/10794"}},{"authorId":9384,"name":"Chan Cleveland","slug":"chan-cleveland","description":" <p><b>Carla Kirkland,</b> founder and CEO of the Kirkland Group, an educational consulting firm, has helped educators prepare their students for standardized tests for more than 20 years.</p> <p><b>Chan Cleveland,</b> executive vice president of the Kirkland Group, is an English educator who has developed language arts resources for multiple school 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Test","slug":"visual-and-quantitative-information-questions-on-the-praxis-reading-test","categoryList":["academics-the-arts","teaching","skills-tests","praxis"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/268426"}}]},"hasRelatedBookFromSearch":false,"relatedBook":{"bookId":0,"slug":null,"isbn":null,"categoryList":null,"amazon":null,"image":null,"title":null,"testBankPinActivationLink":null,"bookOutOfPrint":false,"authorsInfo":null,"authors":null,"_links":null},"collections":[],"articleAds":{"footerAd":"<div class=\"du-ad-region row\" id=\"article_page_adhesion_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_adhesion_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;teaching&quot;,&quot;skills-tests&quot;,&quot;praxis&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[null]}]\" id=\"du-slot-639a0f5fe3451\"></div></div>","rightAd":"<div 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during the praxis exam","slug":"budget-time-praxis-core-academic-skills-educators-exam","canonicalUrl":"","seo":{"metaDescription":"On test day, it’s all about pacing yourself. Look at the Praxis Core Academic Skills for Educators exam from the perspective of how many questions you have to a","noIndex":0,"noFollow":0},"content":"On test day, it’s all about pacing yourself. Look at the Praxis Core Academic Skills for Educators exam from the perspective of how many questions you have to answer per minute:\r\n<ul>\r\n \t<li>The math and reading sections give you 85 minutes to answer 56 questions. This gives you a little over a minute and a half to answer each question.</li>\r\n \t<li>The writing section gives you 40 minutes to answer 40 multiple-choice questions. That comes out to one question per minute.</li>\r\n \t<li>The essay section gives you 60 minutes to write two essays.</li>\r\n</ul>\r\nYou may look at those numbers and think, “There’s no way I can answer questions that quickly!” But fear not. Here are some tips that will help you shave seconds off the amount of time it takes you to answer many of the questions:\r\n<ul>\r\n \t<li><strong>Watch the clock on the computer screen.</strong> Monitor the time on the computer screen like it’s your million-dollar countdown. Remember that you’ll have at least one minute per question, and you need to use every minute wisely.</li>\r\n \t<li>\r\n<p class=\"article-tips warning\"><strong>Don’t make time your sole focus.</strong> Don’t get so caught up on timing that you aren’t paying attention to what the questions are asking. Strike a balance between monitoring the time and concentrating on the task at hand.</p>\r\n</li>\r\n \t<li><strong>Watch for the traps.</strong> The people who write the assessment questions always add “trap” answers into the mix. These incorrect answers look like they’re correct, but they’re not. For example, you may see an answer to a word problem that’s achieved by multiplying when you should be dividing. It’s a trap. Watch out for it.</li>\r\n \t<li><strong>Use the process of elimination.</strong> If you don’t know the answer immediately after reading the answer choices, try to eliminate as many answers as possible. Then guess at the answer. Your chances of guessing correctly increase as you eliminate more answer choices.</li>\r\n \t<li><strong>Read all possible answers.</strong> Sift through each answer choice and ensure that you aren’t overlooking a better answer. Don’t select Choice (A) before looking at the alternative answer choices.</li>\r\n</ul>","description":"On test day, it’s all about pacing yourself. Look at the Praxis Core Academic Skills for Educators exam from the perspective of how many questions you have to answer per minute:\r\n<ul>\r\n \t<li>The math and reading sections give you 85 minutes to answer 56 questions. This gives you a little over a minute and a half to answer each question.</li>\r\n \t<li>The writing section gives you 40 minutes to answer 40 multiple-choice questions. That comes out to one question per minute.</li>\r\n \t<li>The essay section gives you 60 minutes to write two essays.</li>\r\n</ul>\r\nYou may look at those numbers and think, “There’s no way I can answer questions that quickly!” But fear not. Here are some tips that will help you shave seconds off the amount of time it takes you to answer many of the questions:\r\n<ul>\r\n \t<li><strong>Watch the clock on the computer screen.</strong> Monitor the time on the computer screen like it’s your million-dollar countdown. Remember that you’ll have at least one minute per question, and you need to use every minute wisely.</li>\r\n \t<li>\r\n<p class=\"article-tips warning\"><strong>Don’t make time your sole focus.</strong> Don’t get so caught up on timing that you aren’t paying attention to what the questions are asking. Strike a balance between monitoring the time and concentrating on the task at hand.</p>\r\n</li>\r\n \t<li><strong>Watch for the traps.</strong> The people who write the assessment questions always add “trap” answers into the mix. These incorrect answers look like they’re correct, but they’re not. For example, you may see an answer to a word problem that’s achieved by multiplying when you should be dividing. It’s a trap. Watch out for it.</li>\r\n \t<li><strong>Use the process of elimination.</strong> If you don’t know the answer immediately after reading the answer choices, try to eliminate as many answers as possible. Then guess at the answer. Your chances of guessing correctly increase as you eliminate more answer choices.</li>\r\n \t<li><strong>Read all possible answers.</strong> Sift through each answer choice and ensure that you aren’t overlooking a better answer. Don’t select Choice (A) before looking at the alternative answer choices.</li>\r\n</ul>","blurb":"","authors":[{"authorId":10794,"name":"Carla C. Kirkland","slug":"carla-c-kirkland","description":" <p><b>Carla Kirkland,</b> founder and CEO of the Kirkland Group, an educational consulting firm, has helped educators prepare their students for standardized tests for more than 20 years.</p> <p><b>Chan Cleveland,</b> executive vice president of the Kirkland Group, is an English educator who has developed language arts resources for multiple school districts.</p>","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/10794"}},{"authorId":9384,"name":"Chan Cleveland","slug":"chan-cleveland","description":" <p><b>Carla Kirkland,</b> founder and CEO of the Kirkland Group, an educational consulting firm, has helped educators prepare their students for standardized tests for more than 20 years.</p> <p><b>Chan Cleveland,</b> executive vice president of the Kirkland Group, is an English educator who has developed language arts resources for multiple school 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Review math vocabulary and get lots of math, reading, writing, and essay section tips.","noIndex":0,"noFollow":0},"content":"Before you get too excited, understand that the following information isn’t actually about how to cheat on the Praxis. It’s really about the most efficient ways to prepare for the exam. But “preparation sheet” doesn’t quite have the same ring to it. Besides, cheating is unnecessary if you know what you’re doing, and sometimes figuring out what to do is actually easier. As Bart Simpson once said after accidentally studying for a test, “It was like a whole new way to cheat!”","description":"Before you get too excited, understand that the following information isn’t actually about how to cheat on the Praxis. It’s really about the most efficient ways to prepare for the exam. But “preparation sheet” doesn’t quite have the same ring to it. Besides, cheating is unnecessary if you know what you’re doing, and sometimes figuring out what to do is actually easier. 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Core 2023-2024 For Dummies","testBankPinActivationLink":"","bookOutOfPrint":true,"authorsInfo":"<p><p><b><b data-author-id=\"10794\">Carla C. Kirkland</b></b> is CEO of The Kirkland Group, a consulting firm providing professional development, technical assistance, and standardized test preparation to schools. <b>Chan Cleveland,</b> Executive Vice President of The Kirkland Group, has created and revised language arts standards for many school districts. <p><b>Carla C. Kirkland</b> is CEO of The Kirkland Group, a consulting firm providing professional development, technical assistance, and standardized test preparation to schools. <b><b data-author-id=\"9384\">Chan Cleveland</b>,</b> Executive Vice President of The Kirkland Group, has created and revised language arts standards for many school districts.</p>","authors":[{"authorId":10794,"name":"Carla C. Kirkland","slug":"carla-c-kirkland","description":" <p><b>Carla C. Kirkland</b> is CEO of The Kirkland Group, a consulting firm providing professional development, technical assistance, and standardized test preparation to schools. <b>Chan Cleveland,</b> Executive Vice President of The Kirkland Group, has created and revised language arts standards for many school districts. ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/10794"}},{"authorId":9384,"name":"Chan Cleveland","slug":"chan-cleveland","description":" <p><b>Carla C. Kirkland</b> is CEO of The Kirkland Group, a consulting firm providing professional development, technical assistance, and standardized test preparation to schools. <b>Chan Cleveland,</b> Executive Vice President of The Kirkland Group, has created and revised language arts standards for many school districts. ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/9384"}}],"_links":{"self":"https://dummies-api.dummies.com/v2/books/"}},"collections":[],"articleAds":{"footerAd":"<div class=\"du-ad-region row\" id=\"article_page_adhesion_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_adhesion_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;teaching&quot;,&quot;skills-tests&quot;,&quot;praxis&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[&quot;9781119888178&quot;]}]\" id=\"du-slot-63221b5216b26\"></div></div>","rightAd":"<div class=\"du-ad-region row\" id=\"article_page_right_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_right_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;teaching&quot;,&quot;skills-tests&quot;,&quot;praxis&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[&quot;9781119888178&quot;]}]\" id=\"du-slot-63221b52170a7\"></div></div>"},"articleType":{"articleType":"Cheat Sheet","articleList":[{"articleId":149756,"title":"General Tips for Succeeding on the Praxis","slug":"general-tips-for-succeeding-on-the-praxis","categoryList":["academics-the-arts","teaching","skills-tests","praxis"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/149756"}},{"articleId":149755,"title":"Reviewing Math Vocabulary and Rules for the Praxis","slug":"reviewing-math-vocabulary-and-rules-for-the-praxis","categoryList":["academics-the-arts","teaching","skills-tests","praxis"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/149755"}},{"articleId":149745,"title":"5 Tips to Keep in Mind for the Praxis Reading Section","slug":"5-tips-to-keep-in-mind-for-the-praxis-reading-section","categoryList":["academics-the-arts","teaching","skills-tests","praxis"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/149745"}},{"articleId":149744,"title":"6 Tips to Keep in Mind for the Praxis Writing Section","slug":"6-tips-to-keep-in-mind-for-the-praxis-writing-section","categoryList":["academics-the-arts","teaching","skills-tests","praxis"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/149744"}},{"articleId":149757,"title":"5 Tips to Keep in Mind for the Essay Portions of the Praxis Writing Test","slug":"5-tips-to-keep-in-mind-for-the-essay-portions-of-the-praxis-writing-test","categoryList":["academics-the-arts","teaching","skills-tests","praxis"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/149757"}}],"content":[{"title":"General tips for succeeding on the Praxis","thumb":null,"image":null,"content":"<p>No matter how much you study before taking the Praxis Core, that knowledge will be hazy unless you’re also in good physical and emotional test-taking condition. Keep the following points in mind in the days leading up to and on the day of the test.</p>\n<ul>\n<li>Be sure to eat something before the test, no matter how nervous you are. Even if you don’t feel hungry before the test, hunger pangs have a way of sneaking up on you the moment the test starts. If you’re too jittery to choke down your customary bacon and eggs, have some bananas on hand, as they make for a good, filling breakfast that’s easy on a nervous stomach. And during the test, they’ll keep your blood sugar from dropping, so you’ll stay alert.</li>\n<li>The answer to the “coffee or no coffee” is “do whatever you normally do.” If you’re a daily coffee-drinker, there’s no need to go without your java on test day. But if you don’t typically drink coffee, suddenly pounding one before the test is more likely to shake you up than improve your performance.</li>\n<li>“Get a good night’s sleep” is always good advice, but it’s important not to psych yourself out by feeling compelled to alter your sleep schedule. If you normally go to bed at 11, the only thing crawling into bed at 8 will accomplish is you getting angry at yourself for not falling asleep fast enough. Once again, “do what you normally do” is the best advice.</li>\n<li>Remember that, unlike on some other standardized tests, there’s no penalty for a wrong guess on the Praxis, so there’s never any reason to leave a question blank.</li>\n<li>When a question gives you trouble, eliminating wrong answer choices one by one is more productive than hoping that the right answer will jump out at you.</li>\n</ul>\n"},{"title":"Math vocabulary and rules for the Praxis","thumb":null,"image":null,"content":"<p>Success on the <a href=\"https://dummies-wp-admin.dummies.com/test-prep/praxis/practice-math-questions-praxis-simplifying-algebraic-expression/\">math section of the Praxis Core exam</a> requires knowledge of many word meanings and rules. These are some of the major word definitions and rules you need to know:</p>\n<ul>\n<li>A <em>factor</em> of a number goes into it a whole number of times; a number is multiplied by a whole number to get a <em>multiple</em> of itself.</li>\n<li>To convert a decimal number to a percent, move the decimal two places to the right and add a percent sign (%); to convert a percent to a decimal number, drop the percent sign and move the decimal two places to the left.</li>\n<li>To multiply a variable to any power by the same variable to any power, give the variable an exponent that is the sum of the exponents involved in the multiplying.</li>\n<li><em>Like terms</em> have exactly the same variables with exactly the same exponents for each. Only like terms can be combined.</li>\n<li>To solve an equation or inequality, get the variable by itself on one side by doing the opposite of everything that is being done to it to both entire sides.</li>\n<li>You must change the direction of an inequality sign if you multiply or divide both sides by a negative or if you switch the sides.</li>\n<li>Vertical angles are congruent.</li>\n<li><em>Supplementary angles</em> have measures with a sum of 180°. <em>Complementary angles</em> have measures with a sum of 90°.</li>\n<li>Angles that form a linear pair are supplementary.</li>\n<li>The sum of the interior angles of a triangle is 180°. The sum of the interior angles of a quadrilateral is 360°.</li>\n<li>Similar polygons have the same shape but not necessarily the same size. Their corresponding side measures are in proportion, which means that they have the same ratio in every case.</li>\n<li>The sum of the squares of the leg measures of a right triangle is equal to the square of the hypotenuse measure.</li>\n<li>The <em>mean</em> of a set of data is the average, the <em>median</em> is the middle number or the mean of the two middle numbers when the numbers are in order, and the <em>mode</em> is the number that appears the most.</li>\n<li>The <em>probability</em> of an event is the number of qualifying outcomes divided by the number of possible outcomes.</li>\n<li>A number expressed in <em>scientific notation</em> is a single digit followed by a decimal and the digits that come after the decimal multiplied by 10 with an exponent.</li>\n</ul>\n"},{"title":"5 tips to keep in mind for the Praxis reading section","thumb":null,"image":null,"content":"<p>There are no essays or short-answer portions on the Praxis reading section of the exam. Every question is multiple-choice and asks you about a brief passage, a longer passage, a pair of passages, or a chart or graph. Here are some hints for doing your best:</p>\n<ul>\n<li>Always read the whole passage before you look at the questions and the answer choices.</li>\n<li>When a question asks for the “main idea” or “author’s primary purpose,” steer clear of overly detailed answers and pick the broadest answer choice that isn’t wrong.</li>\n<li>The passages are excerpted from writers who know what they’re talking about, so no statement that is factually false is ever a correct answer. You don’t need outside knowledge to answer the questions correctly, but you can eliminate wrong answers based on outside knowledge when and if you happen to have some.</li>\n<li>When you see a set of paired passages (from “author one” and “author two”), take a few moments to develop a sense of what the two authors agree or disagree about in your own words <em>before</em> you look at the question and the answer choices.</li>\n<li>If the visual-information questions (the ones about charts and graphs) make you nervous, rest easy in the knowledge that they’re near the end of the test, which puts you in a good position to judge how much time you have left and verify your answers by plugging in the wrong answers to double-check that they are indeed wrong.</li>\n</ul>\n"},{"title":"6 tips to keep in mind for the Praxis writing section","thumb":null,"image":null,"content":"<p>The Praxis writing section is mainly multiple-choice questions about grammar rules, plus some more multiple-choice questions about passage-editing and research skills before the two brief essays at the end. Here are some pointers to help you do well on the multiple-choice questions:</p>\n<ul>\n<li>Watch out for comma splices. They’re the single most common reason why a wrong answer is wrong. Even if you’re hazy on some of the finer points of grammar, you should be able to spot a comma splice from a mile away before you take the test.</li>\n<li>On the “No Error” questions, remember that just because an element of the sentence could have been phrased a different way, that doesn’t necessarily mean it’s wrong. You’re supposed to be on the lookout for actual rule-breaking errors, not just things that could have been said differently.</li>\n<li>Don’t be afraid to pick “No Error.” It’s the right answer as often as any other choice is.</li>\n<li>Remember to keep your eyes peeled for capitalization errors. Unlike most other standardized tests for older students, the Praxis does include questions involving capitalization issues.</li>\n<li>When reading the long passage for the “editing passage” questions, keep an eye out for sentences that seem awkward or out of place. That’s a sign that questions about them are coming up.</li>\n<li>Research questions can usually be answered with common sense, even if your academic background is not that strong. The good old “which of these things is not like the others” system is very helpful on the research questions.</li>\n</ul>\n"},{"title":"5 tips to keep in mind for the essay portions of the Praxis writing test","thumb":null,"image":null,"content":"<p>The Praxis writing test closes with a pair of essays, and you have half an hour to write each one. The first is an open response in which you’re asked to present your position on an issue. The second is a source-based essay that is graded more on how efficiently and clearly you incorporate and cite source materials. Keep these tips in mind:</p>\n<ul>\n<li>Don’t spend a lot of time making an outline before you start writing either one of the essays. Length is not the be-all and end-all, but it does matter, so you want to be writing for the vast majority of the allotted time. How eloquent you are and how clearly you seem to understand the issue matters a lot more than whether your points are in some kind of strict logical order, so don’t stress out about micromanaging the organization of your essays.</li>\n<li>Your open-response essay should clearly state a position somewhere near the beginning, but you don’t have to state an uncompromising thesis that won’t leave you any room for admitting when the other side has a good point. On the contrary, making it clear that you can understand why the people on the other side of the issue may see things differently is a sign of philosophical maturity that improves your score.</li>\n<li>Don’t try to use a bunch of big words for no reason. They make your essay annoying to read and don’t help your score. The trick is to seem like you enjoy writing, not simply to deploy a bunch of big words that you memorized for the test.</li>\n<li>On the source-based essay, be sure to quote from all the authors included in the sources and to use proper citation format after the quotes (the author’s last name followed by a comma and the year of publication if you’re using APA style, or the author’s last name followed by the page number the quotation is from if you’re using MLA style).</li>\n<li>Sometimes the passages on which the source-based essay is based include “quotes within quotes” — asking you to cite authors who are themselves citing other authors — to try to trip you up. So be sure to keep straight whose ideas are whose.</li>\n</ul>\n"}],"videoInfo":{"videoId":null,"name":null,"accountId":null,"playerId":null,"thumbnailUrl":null,"description":null,"uploadDate":null}},"sponsorship":{"sponsorshipPage":false,"backgroundImage":{"src":null,"width":0,"height":0},"brandingLine":"","brandingLink":"","brandingLogo":{"src":null,"width":0,"height":0},"sponsorAd":"","sponsorEbookTitle":"","sponsorEbookLink":"","sponsorEbookImage":{"src":null,"width":0,"height":0}},"primaryLearningPath":"Advance","lifeExpectancy":"Six months","lifeExpectancySetFrom":"2022-09-12T00:00:00+00:00","dummiesForKids":"no","sponsoredContent":"no","adInfo":"","adPairKey":[]},"status":"publish","visibility":"public","articleId":207653},{"headers":{"creationTime":"2020-02-24T01:09:24+00:00","modifiedTime":"2020-02-24T01:09:24+00:00","timestamp":"2022-09-14T18:17:33+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Teaching","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33800"},"slug":"teaching","categoryId":33800},{"name":"Skills Tests","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33806"},"slug":"skills-tests","categoryId":33806},{"name":"Praxis","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33807"},"slug":"praxis","categoryId":33807}],"title":"Identify and Correct Errors in Praxis Core Selected-Response Items","strippedTitle":"identify and correct errors in praxis core selected-response items","slug":"identify-and-correct-errors-in-praxis-core-selected-response-items","canonicalUrl":"","seo":{"metaDescription":"Answering selected-response items on the Praxis writing test requires that you read each question carefully. Put questions into your own words.","noIndex":0,"noFollow":0},"content":"Correctly answering selected-response items on the <a href=\"https://www.dummies.com/test-prep/praxis/preparing-praxis-core-writing-questions/\">writing portion of the Praxis</a> requires that you read each question carefully. Where possible, put the question into your own words. Be sure to read every choice before you make your selection.\r\n<h2 id=\"tab1\" >Eliminate the obviously wrong choices</h2>\r\nThe process of elimination can help you choose the correct answer in a selected-response question. Start by crossing off the answers that couldn’t be right. Then spend your time focusing on the possible correct choices before selecting your answer. Doing so greatly increases the odds of your choosing correctly.\r\n<p class=\"article-tips tip\">Pay special attention to answers that contain these words: <em>none, never, all, more, always,</em> and <em>only</em>. These words indicate that the answer is an undisputed fact and, consequently, isn’t likely to be the correct choice. Conditional words like <em>usually</em> or <em>probably</em> make the answer more likely.</p>\r\n<p class=\"article-tips remember\">Be particularly careful of selected-response questions using the words <em>not, least,</em> and <em>except</em>. These questions usually ask you to select the choice that doesn’t fit. Stay alert! It’s easy to misread these questions.</p>\r\n\r\n<h2 id=\"tab2\" >Don’t be afraid to say it’s right the way it is</h2>\r\nAlthough it may seem counterintuitive, if a sentence is correct as written, “No error” is the correct answer. Fear not: some tasks will be written correctly. Just be sure to consider all the choices before making your decision.\r\n<h2 id=\"tab3\" >The art of guessing as a last resort</h2>\r\nYour score is based on the number of correct answers. You’re not penalized for incorrect answers. For this reason, you should answer every question.\r\n<p class=\"article-tips tip\">If you face a difficult question, narrow your choices as much as possible and, if necessary, guess! Don’t spend too much time considering a difficult question. Mark the question and come back to it. Answer the easy questions first.</p>\r\nYou’re not expected to answer all the questions correctly. In order to pass the Praxis, you must simply achieve the minimum passing score for your state.\r\n<h2 id=\"tab4\" >A word of advice about “trusting your ear”</h2>\r\nIf you grew up in a family of English teachers who corrected your every incorrect utterance, complete with an accompanying grammar lesson, it’s probably pretty safe for you to “trust your ear”; that is, whatever sounds right to you is likely to be right. However, if you’re like most people, you grew up in a family that was considerably less interested in your grammar. Language that sounds right to you is simply language you’re accustomed to hearing and may very well be incorrect. Play it safe and analyze the sentence carefully. It’s easy to make a mistake when “trusting the ear.” Consider some examples.\r\n<blockquote>Neither the boys nor the girl (is/are) paying attention.</blockquote>\r\nWhile “are” may sound right, the correct answer is “is.” The verb agrees with the closest subject when subjects are compound.\r\n<blockquote>I will split the cost between you and (I/me).</blockquote>\r\nYou probably hear someone use the incorrect construction of “between you and I” pretty often. Just because you hear it spoken, though, doesn’t mean it’s correct grammar. Objects of the preposition must be objective case, so “me” is the pronoun to use here.\r\n<blockquote>You and (I/me) should see that new movie.</blockquote>\r\nIn this example, the personal pronoun is being used as one of the subjects of the sentence. Subjects must be nominative case, so “I” is the correct choice here.","description":"Correctly answering selected-response items on the <a href=\"https://www.dummies.com/test-prep/praxis/preparing-praxis-core-writing-questions/\">writing portion of the Praxis</a> requires that you read each question carefully. Where possible, put the question into your own words. Be sure to read every choice before you make your selection.\r\n<h2 id=\"tab1\" >Eliminate the obviously wrong choices</h2>\r\nThe process of elimination can help you choose the correct answer in a selected-response question. Start by crossing off the answers that couldn’t be right. Then spend your time focusing on the possible correct choices before selecting your answer. Doing so greatly increases the odds of your choosing correctly.\r\n<p class=\"article-tips tip\">Pay special attention to answers that contain these words: <em>none, never, all, more, always,</em> and <em>only</em>. These words indicate that the answer is an undisputed fact and, consequently, isn’t likely to be the correct choice. Conditional words like <em>usually</em> or <em>probably</em> make the answer more likely.</p>\r\n<p class=\"article-tips remember\">Be particularly careful of selected-response questions using the words <em>not, least,</em> and <em>except</em>. These questions usually ask you to select the choice that doesn’t fit. Stay alert! It’s easy to misread these questions.</p>\r\n\r\n<h2 id=\"tab2\" >Don’t be afraid to say it’s right the way it is</h2>\r\nAlthough it may seem counterintuitive, if a sentence is correct as written, “No error” is the correct answer. Fear not: some tasks will be written correctly. Just be sure to consider all the choices before making your decision.\r\n<h2 id=\"tab3\" >The art of guessing as a last resort</h2>\r\nYour score is based on the number of correct answers. You’re not penalized for incorrect answers. For this reason, you should answer every question.\r\n<p class=\"article-tips tip\">If you face a difficult question, narrow your choices as much as possible and, if necessary, guess! Don’t spend too much time considering a difficult question. Mark the question and come back to it. Answer the easy questions first.</p>\r\nYou’re not expected to answer all the questions correctly. In order to pass the Praxis, you must simply achieve the minimum passing score for your state.\r\n<h2 id=\"tab4\" >A word of advice about “trusting your ear”</h2>\r\nIf you grew up in a family of English teachers who corrected your every incorrect utterance, complete with an accompanying grammar lesson, it’s probably pretty safe for you to “trust your ear”; that is, whatever sounds right to you is likely to be right. However, if you’re like most people, you grew up in a family that was considerably less interested in your grammar. Language that sounds right to you is simply language you’re accustomed to hearing and may very well be incorrect. Play it safe and analyze the sentence carefully. It’s easy to make a mistake when “trusting the ear.” Consider some examples.\r\n<blockquote>Neither the boys nor the girl (is/are) paying attention.</blockquote>\r\nWhile “are” may sound right, the correct answer is “is.” The verb agrees with the closest subject when subjects are compound.\r\n<blockquote>I will split the cost between you and (I/me).</blockquote>\r\nYou probably hear someone use the incorrect construction of “between you and I” pretty often. Just because you hear it spoken, though, doesn’t mean it’s correct grammar. Objects of the preposition must be objective case, so “me” is the pronoun to use here.\r\n<blockquote>You and (I/me) should see that new movie.</blockquote>\r\nIn this example, the personal pronoun is being used as one of the subjects of the sentence. Subjects must be nominative case, so “I” is the correct choice here.","blurb":"","authors":[{"authorId":10794,"name":"Carla C. Kirkland","slug":"carla-c-kirkland","description":" <p><b>Carla C. Kirkland</b> is CEO of The Kirkland Group, a consulting firm providing professional development, technical assistance, and standardized test preparation to schools. <b>Chan Cleveland,</b> Executive Vice President of The Kirkland Group, has created and revised language arts standards for many school districts. ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/10794"}},{"authorId":9384,"name":"Chan Cleveland","slug":"chan-cleveland","description":" <p><b>Carla C. Kirkland</b> is CEO of The Kirkland Group, a consulting firm providing professional development, technical assistance, and standardized test preparation to schools. <b>Chan Cleveland,</b> Executive Vice President of The Kirkland Group, has created and revised language arts standards for many school districts. ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/9384"}}],"primaryCategoryTaxonomy":{"categoryId":33807,"title":"Praxis","slug":"praxis","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33807"}},"secondaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":[{"articleId":192609,"title":"How to Pray the Rosary: A Comprehensive Guide","slug":"how-to-pray-the-rosary","categoryList":["body-mind-spirit","religion-spirituality","christianity","catholicism"],"_links":{"self":"/articles/192609"}},{"articleId":208741,"title":"Kabbalah For Dummies Cheat Sheet","slug":"kabbalah-for-dummies-cheat-sheet","categoryList":["body-mind-spirit","religion-spirituality","kabbalah"],"_links":{"self":"/articles/208741"}},{"articleId":230957,"title":"Nikon D3400 For Dummies Cheat 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Core","slug":"capitalization-what-you-need-to-know-for-the-praxis-core","categoryList":["academics-the-arts","teaching","skills-tests","praxis"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/268458"}},{"articleId":268441,"title":"How Data is Represented on the Praxis Core Exam","slug":"how-data-is-represented-on-the-praxis-core-exam","categoryList":["academics-the-arts","teaching","skills-tests","praxis"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/268441"}},{"articleId":268435,"title":"How to Narrow Down Answer Choices on the Praxis Math Test","slug":"how-to-narrow-down-answer-choices-on-the-praxis-math-test","categoryList":["academics-the-arts","teaching","skills-tests","praxis"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/268435"}},{"articleId":268426,"title":"Visual- and Quantitative-Information Questions on the Praxis Reading Test","slug":"visual-and-quantitative-information-questions-on-the-praxis-reading-test","categoryList":["academics-the-arts","teaching","skills-tests","praxis"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/268426"}},{"articleId":207653,"title":"Praxis Core For Dummies Cheat Sheet","slug":"praxis-core-for-dummies-cheat-sheet","categoryList":["academics-the-arts","teaching","skills-tests","praxis"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/207653"}}],"fromCategory":[{"articleId":268458,"title":"Capitalization: What You Need to Know for the Praxis Core","slug":"capitalization-what-you-need-to-know-for-the-praxis-core","categoryList":["academics-the-arts","teaching","skills-tests","praxis"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/268458"}},{"articleId":268441,"title":"How Data is Represented on the Praxis Core Exam","slug":"how-data-is-represented-on-the-praxis-core-exam","categoryList":["academics-the-arts","teaching","skills-tests","praxis"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/268441"}},{"articleId":268435,"title":"How to Narrow Down Answer Choices on the Praxis Math Test","slug":"how-to-narrow-down-answer-choices-on-the-praxis-math-test","categoryList":["academics-the-arts","teaching","skills-tests","praxis"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/268435"}},{"articleId":268426,"title":"Visual- and Quantitative-Information Questions on the Praxis Reading Test","slug":"visual-and-quantitative-information-questions-on-the-praxis-reading-test","categoryList":["academics-the-arts","teaching","skills-tests","praxis"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/268426"}},{"articleId":254476,"title":"How to Register for the Praxis Core Academic Skills for Educators 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Core 2023-2024 For Dummies","testBankPinActivationLink":"","bookOutOfPrint":true,"authorsInfo":"<p><p><b><b data-author-id=\"10794\">Carla C. Kirkland</b></b> is CEO of The Kirkland Group, a consulting firm providing professional development, technical assistance, and standardized test preparation to schools. <b>Chan Cleveland,</b> Executive Vice President of The Kirkland Group, has created and revised language arts standards for many school districts. <p><b>Carla C. Kirkland</b> is CEO of The Kirkland Group, a consulting firm providing professional development, technical assistance, and standardized test preparation to schools. <b><b data-author-id=\"9384\">Chan Cleveland</b>,</b> Executive Vice President of The Kirkland Group, has created and revised language arts standards for many school districts.</p>","authors":[{"authorId":10794,"name":"Carla C. Kirkland","slug":"carla-c-kirkland","description":" <p><b>Carla C. Kirkland</b> is CEO of The Kirkland Group, a consulting firm providing professional development, technical assistance, and standardized test preparation to schools. <b>Chan Cleveland,</b> Executive Vice President of The Kirkland Group, has created and revised language arts standards for many school districts. ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/10794"}},{"authorId":9384,"name":"Chan Cleveland","slug":"chan-cleveland","description":" <p><b>Carla C. Kirkland</b> is CEO of The Kirkland Group, a consulting firm providing professional development, technical assistance, and standardized test preparation to schools. <b>Chan Cleveland,</b> Executive Vice President of The Kirkland Group, has created and revised language arts standards for many school districts. ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/9384"}}],"_links":{"self":"https://dummies-api.dummies.com/v2/books/"}},"collections":[],"articleAds":{"footerAd":"<div class=\"du-ad-region row\" id=\"article_page_adhesion_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_adhesion_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;teaching&quot;,&quot;skills-tests&quot;,&quot;praxis&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[&quot;9781119888178&quot;]}]\" id=\"du-slot-63221abd9e341\"></div></div>","rightAd":"<div class=\"du-ad-region row\" id=\"article_page_right_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_right_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;teaching&quot;,&quot;skills-tests&quot;,&quot;praxis&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[&quot;9781119888178&quot;]}]\" id=\"du-slot-63221abd9ed25\"></div></div>"},"articleType":{"articleType":"Articles","articleList":null,"content":null,"videoInfo":{"videoId":null,"name":null,"accountId":null,"playerId":null,"thumbnailUrl":null,"description":null,"uploadDate":null}},"sponsorship":{"sponsorshipPage":false,"backgroundImage":{"src":null,"width":0,"height":0},"brandingLine":"","brandingLink":"","brandingLogo":{"src":null,"width":0,"height":0},"sponsorAd":"","sponsorEbookTitle":"","sponsorEbookLink":"","sponsorEbookImage":{"src":null,"width":0,"height":0}},"primaryLearningPath":"Advance","lifeExpectancy":null,"lifeExpectancySetFrom":null,"dummiesForKids":"no","sponsoredContent":"no","adInfo":"","adPairKey":[]},"status":"publish","visibility":"public","articleId":268455},{"headers":{"creationTime":"2020-02-24T00:59:24+00:00","modifiedTime":"2020-02-24T00:59:24+00:00","timestamp":"2022-09-14T18:17:33+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Teaching","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33800"},"slug":"teaching","categoryId":33800},{"name":"Skills Tests","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33806"},"slug":"skills-tests","categoryId":33806},{"name":"Praxis","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33807"},"slug":"praxis","categoryId":33807}],"title":"How Data is Represented on the Praxis Core Exam","strippedTitle":"how data is represented on the praxis core exam","slug":"how-data-is-represented-on-the-praxis-core-exam","canonicalUrl":"","seo":{"metaDescription":"For the Praxis Core exam, you need to become familiar with many ways to display or represent your data—tables, charts, graphs, and Venn diagrams.","noIndex":0,"noFollow":0},"content":"For the Praxis Core exam, you need to become familiar with many ways to display or represent your data. Using lists, tables, graphs, charts, and plots to represent data is a surefire way to make sure you aren’t tricked by the data. These methods of organizing data can also help you see patterns more readily. In the sections that follow, you become skilled at dissecting and interpreting different types of data representations.\r\n<h2 id=\"tab1\" >Tables</h2>\r\nWhen you have gobs of data about a particular subject, you can sort, analyze, and display your data in a table. Tables only work if you have at least two sets of data to be organized into columns and rows.\r\n<p class=\"article-tips remember\">When working with tables, make sure to pay attention to the title of the table; it helps you understand what data to analyze. Next, notice the column and row titles.</p>\r\nIn the following table, the data for the types of flowers and the number of each type of plant in Mary’s flower bed are listed. Make sure to read your question carefully and dissect the data accordingly.\r\n<blockquote>Which ratio compares the number of rose plants to the number of daffodil plants?\r\n\r\n<img class=\"alignnone size-full wp-image-268451\" src=\"https://www.dummies.com/wp-content/uploads/praxis-ratio.jpg\" alt=\"data table\" width=\"556\" height=\"401\" />\r\n\r\n<strong>A.</strong> 3:2\r\n\r\n<strong>B.</strong> 2:3\r\n\r\n<strong>C.</strong> 4:3\r\n\r\n<strong>D.</strong> 5:6\r\n\r\n<strong>E.</strong> 3:4</blockquote>\r\nThe correct answer is Choice (B). The ratio of roses to daffodils is 8:12; when factored, the ratio is 2:3. The Praxis Core exam will expect answers in the simplest form.\r\n<h2 id=\"tab2\" >Bar graphs and line graphs</h2>\r\nA bar graph uses the length of vertical or horizontal bars to represent numbers and compare data. Bar graphs are good to use when your data is in categories. Bar graphs must contain a title, axis labels for the horizontal and vertical axis, scales, and bars that represent numbers.\r\n<blockquote>The following bar graph shows the number of canned goods collected by homerooms at Cardozo Middle School.\r\n\r\n<img class=\"alignnone size-full wp-image-268450\" src=\"https://www.dummies.com/wp-content/uploads/praxis-bar-line-graphs.jpg\" alt=\"bar and line graphs\" width=\"556\" height=\"384\" />\r\n\r\nMr. Smith’s homeroom collected more cans than how many other homerooms?\r\n\r\n<strong> A.</strong> 3\r\n\r\n<strong>B.</strong> 4\r\n\r\n<strong>C.</strong> 5\r\n\r\n<strong> D.</strong> 6\r\n\r\n<strong>E.</strong> 7</blockquote>\r\nThe correct answer is Choice (A). Use the graph to compare the number of cans collected by each homeroom. According to the lengths of the vertical bars, Mr. Smith’s homeroom collected more cans than Mr. Lewis, Mr. Davis, and Mrs. Reed’s classes.\r\n\r\nLine graphs are graphs that show data that is connected in some way over a period of time. Suppose you’re preparing for a statistics test and each day you take a short online quiz to see how you’re progressing. These are the results:\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td width=\"255\">Day 1</td>\r\n<td width=\"340\">30 percent</td>\r\n</tr>\r\n<tr>\r\n<td width=\"255\">Day 2</td>\r\n<td width=\"340\">20 percent</td>\r\n</tr>\r\n<tr>\r\n<td width=\"255\">Day 3</td>\r\n<td width=\"340\">50 percent</td>\r\n</tr>\r\n<tr>\r\n<td width=\"255\">Day 4</td>\r\n<td width=\"340\">60 percent</td>\r\n</tr>\r\n<tr>\r\n<td width=\"255\">Day 5</td>\r\n<td width=\"340\">80 percent</td>\r\n</tr>\r\n</tbody>\r\n</table>\r\nAfter you’ve created a table from your results, display them in a line graph. You can then decide, based on your progress on the practice quizzes, how likely you are to pass your statistics test. What trends do you see in the following graph?\r\n\r\n<img class=\"alignnone size-full wp-image-268449\" src=\"https://www.dummies.com/wp-content/uploads/praxis-trends.jpg\" alt=\"data trends\" width=\"556\" height=\"380\" />\r\n\r\nThe graph indicates that as the days of practicing the online quizzes increase, your score increases; so, you will, more than likely, pass your statistics test.\r\n<h2 id=\"tab3\" >Pie charts</h2>\r\nAre you ready for a slice of pie? Pie charts are also known as circle graphs. These graphs focus on a whole set of data that is divided into parts. Each category represented in a pie chart is represented by a part, called a <em>sector,</em> of the interior of the circle. The portion of the circle interior a category’s sector takes up is part of what represents the portion of the whole (population, number of items sold, and so on) the category makes up. For example, if a pie chart represents categories of county government spending and 10 percent of the county government spending goes to road maintenance, the category of road maintenance would be labeled in a sector that takes up 10 percent of the interior of the circle. The sector would also have “10%” presented in it, and the sector would be labeled with “Road Maintenance.”\r\n<ol>\r\n \t<li><strong> Move the decimal point two places to the right and add a percent symbol.</strong></li>\r\n \t<li><strong> Multiply the percent by 360 to get the number of degrees for that slice of your pie chart.</strong></li>\r\n \t<li><strong> Display all the slices together in the pie chart.</strong></li>\r\n</ol>\r\nThe following table shows the conversion of raw data to information that can be used to create a pie chart. The resulting pie chart is shown in the example question.\r\n\r\n<img class=\"alignnone size-full wp-image-268448\" src=\"https://www.dummies.com/wp-content/uploads/praxis-reading-pie-chart.jpg\" alt=\"reading a pie chart\" width=\"556\" height=\"316\" />\r\n<p class=\"article-tips remember\">When reading a pie chart, the larger the value, the larger the piece of pie!</p>\r\n\r\n<h2 id=\"tab4\" >Stem-and-leaf plots</h2>\r\nA stem-and-leaf plot blossoms into a useful graph when analyzed properly. You usually use this type of graph when you have large amounts of data to analyze. You can analyze data sets such as classroom test results or scores of the basketball team using a stem-and-leaf plot.\r\n\r\nBased on place value, each value in your data set is divided into a stem and leaf. What each stem and leaf plot represents is indicated by a Key. Draw a vertical line to separate the stem from the leaf. The leaf is always the last digit in the number. The stem represents all other digits to the left of the leaf. To divide 105 into stem-and-leaf format, you draw a line to separate the stem from the leaf, which indicates a stem of 10 and a leaf of 5.\r\n\r\nSay you have the following numbers:\r\n\r\n50, 65, 65, 60, 50, 50, 55, 70, 55\r\n\r\nThe first step is to arrange your data in least-to-greatest order, as follows:\r\n\r\n50, 50, 50, 55, 55, 60, 65, 65, 70\r\n\r\nNow arrange these numbers vertically in a table:\r\n<table><caption><strong>Math Test Results</strong></caption>\r\n<thead>\r\n<tr>\r\n<td width=\"132\"><strong>Stem</strong></td>\r\n<td width=\"132\"><strong>Leaf</strong></td>\r\n</tr>\r\n<tr>\r\n<td width=\"132\">5</td>\r\n<td width=\"132\">0 0 0 5 5</td>\r\n</tr>\r\n</thead>\r\n<tbody>\r\n<tr>\r\n<td width=\"132\">6</td>\r\n<td width=\"132\">0 5 5</td>\r\n</tr>\r\n<tr>\r\n<td width=\"132\">7</td>\r\n<td width=\"132\">0</td>\r\n</tr>\r\n</tbody>\r\n</table>\r\nKey: 5|0 means 50\r\n\r\nThis arrangement allows you to quickly identify your stems. Your stems in the data set are 5, 6, and 7. You have five data values in the list in the 50s: 50, 50, 50, 55, and 55. The leaves that go along with the 5 stem are 0, 0, 0, 5, and 5. You have three data values in the 60s: 60, 65, and 65. The leaves that go with the 6 stem are 0, 5, and 5. Finally, you have one leaf with a data value of 0 to accompany the stem of 7.\r\n\r\nWhen using a stem-and-leaf plot, you can quickly identify the least and greatest values in the data set (50 and 70), calculate the range (), and calculate the median or middle number (55).\r\n<blockquote>The following data shows the number of people visiting a particular frozen yogurt shop per hour across a 12-hour day.\r\n\r\nHourly customers: 4, 17, 22, 31, 39, 40, 25, 43, 35, 40, 38, 13.\r\n\r\nWhen this data is arranged in a stem-and-leaf plot, you get the following diagram. Use it to answer the questions that follow.</blockquote>\r\n<strong>Hourly Customers</strong>\r\n<table width=\"302\">\r\n<thead>\r\n<tr>\r\n<td width=\"151\"><strong>Stem</strong></td>\r\n<td width=\"151\"><strong>Leaf</strong></td>\r\n</tr>\r\n<tr>\r\n<td width=\"151\">0</td>\r\n<td width=\"151\">4</td>\r\n</tr>\r\n</thead>\r\n<tbody>\r\n<tr>\r\n<td width=\"151\">1</td>\r\n<td width=\"151\">3 7</td>\r\n</tr>\r\n<tr>\r\n<td width=\"151\">2</td>\r\n<td width=\"151\">2 5</td>\r\n</tr>\r\n<tr>\r\n<td width=\"151\">3</td>\r\n<td width=\"151\">1 5 8 9</td>\r\n</tr>\r\n<tr>\r\n<td width=\"151\">4</td>\r\n<td width=\"151\">0 0 3</td>\r\n</tr>\r\n</tbody>\r\n</table>\r\n<em>Key: 4|0 means 40</em>\r\n<blockquote>What was the largest number of people that entered the shop during an hour?</blockquote>\r\nThe correct answer is 43. Based on the diagram, the highest stem is 4 and the highest leaf in that stem is 3.\r\n<h2 id=\"tab5\" >Box-and-whisker plots</h2>\r\nBox-and-whisker plots, also known as box plots, show different parts of a data set using a line of numbers that are in order from least to greatest.\r\n\r\nA box-and-whisker plot allows you to divide your data into four parts using <em>quartiles.</em> The <em>median,</em> or <em>middle quartile,</em> divides the data into a lower half and an upper half (for more on finding the median, see the later section “Measuring arithmetic mean, median, or mode”). The median of the lower half is <em>the lower quartile.</em> The median of the upper half is the <em>upper quartile.</em> Your data set will contain the following five parts:\r\n<ul>\r\n \t<li><strong>The least value:</strong> The smallest value in the data set.</li>\r\n \t<li><strong>The lower quartile:</strong> The median of the lower half of the data set.</li>\r\n \t<li><strong>The median:</strong> The median or middle quartile. This divides the data into a lower half and an upper half. The median is the number in the center. If two numbers are in the center, find the average of the two middle values.</li>\r\n \t<li><strong>The upper quartile:</strong> The median of the upper half of the data set.</li>\r\n \t<li><strong>The greatest value:</strong> The largest value in the data set.</li>\r\n</ul>\r\nThe following diagram shows how data is dissected using a box-and-whisker plot. To create a box-and-whisker plot, follow the diagram below.\r\n\r\n<img class=\"alignnone size-full wp-image-268447\" src=\"https://www.dummies.com/wp-content/uploads/praxis-box-whisker-plot.jpg\" alt=\"box whisker plot\" width=\"556\" height=\"364\" />\r\n\r\nThe diagram begins with the <em>data set.</em> The data set is then put in least-to-greatest order. Underline the <em>least value</em> and the <em>greatest value</em> in the data set. Then find the <em>median</em> of the entire data set. Remember, when calculating the median, if there are two values in the center of a data set, find their average. The median divides the data set into the lower set and higher set<em>.</em> You must then find the median of the lower set. That is the <em>lower quartile</em>, or Q1. You also must find the median of the upper set. That median is the <em>upper quartile</em>, or Q3. The median of the entire set of data is Q2. The word “quartile” can also be used to refer to a division of numbers marked off by Q1, Q2, Q3, or the highest number in the entire set.\r\n\r\nAfter dissecting the data into the five values, graph the five values on a number line. Draw a box from Q1 to Q3. Draw a vertical line inside the box at Q2. The lines connecting the least and greatest values to the box are called the <em>whiskers.</em>\r\n\r\n<img class=\"alignnone size-full wp-image-268446\" src=\"https://www.dummies.com/wp-content/uploads/praxis-whiskers.jpg\" alt=\"whiskers\" width=\"556\" height=\"175\" />\r\n<blockquote>Use the following graph to answer the following questions.\r\n\r\n<img class=\"alignnone size-full wp-image-268445\" src=\"https://www.dummies.com/wp-content/uploads/praxis-box-plot.jpg\" alt=\"box plot\" width=\"556\" height=\"106\" />\r\n\r\nThis box plot indicates the scores from yesterday’s math test. Approximately what percent of the students did not get above 65%?\r\n\r\n<strong>A.</strong> 25%\r\n\r\n<strong>B.</strong> 50%\r\n\r\n<strong>C.</strong> 65%\r\n\r\n<strong> D.</strong> 75%\r\n\r\n<strong>E.</strong> 85%</blockquote>\r\nThe correct answer is Choice (A). The box-and-whisker plot indicates that the lowest score on the test was 60. The median of the lower quartile is 65, so about 25 percent of the students scored lower than 65. It could be exactly 25 percent, depending on the number of students.\r\n<blockquote>What is the median test score from yesterday’s math test?</blockquote>\r\n<blockquote> <strong>A.</strong> 25%</blockquote>\r\n<blockquote> <strong>B.</strong> 50%</blockquote>\r\n<blockquote> <strong>C.</strong> 65%</blockquote>\r\n<blockquote> <strong>D.</strong> 75%</blockquote>\r\n<blockquote> <strong>E.</strong> 85%</blockquote>\r\nThe correct answer is Choice (D). The median of the box-and-whisker plot is indicated by a line drawn through the center of the box. The value graphed at this point is 75.\r\n<h2 id=\"tab6\" >Venn diagrams</h2>\r\n“Venn” you need to picture relationships between different groups of things, use a Venn diagram. A <em>Venn diagram</em> is an illustration where individual data sets are represented using basic geometry shapes such as ovals, circles, or other shapes. Simply draw and label two or more overlapping circles to represent the sets you’re comparing. The sets overlap in an area called the <em>intersection.</em> When an item is listed in both sets, it goes in the intersection. If an item doesn’t fit in either set, it falls outside the circles or other shapes.\r\n<blockquote>Use the following graph to answer the following questions.\r\n\r\n<img class=\"alignnone size-full wp-image-268444\" src=\"https://www.dummies.com/wp-content/uploads/praxis-venn-diagram.jpg\" alt=\"venn diagram\" width=\"556\" height=\"380\" />\r\n\r\nFootball is the favorite sport of how many students in the Venn diagram?\r\n\r\n<strong>A.</strong> 2\r\n\r\n<strong>B.</strong> 5\r\n\r\n<strong>C.</strong> 23\r\n\r\n<strong>D.</strong> 25\r\n\r\n<strong>E.</strong> 48</blockquote>\r\nThe correct answer is Choice (C). In the Venn diagram, 23 students picked football as their favorite sport. This is the only portion of the diagram reserved for football <em>only</em>.\r\n<blockquote>Football and basketball are the favorite sports of how many students?</blockquote>\r\n<blockquote> <strong>A.</strong> 2</blockquote>\r\n<blockquote> <strong>B.</strong> 5</blockquote>\r\n<blockquote> <strong>C.</strong> 23</blockquote>\r\n<blockquote> <strong> D.</strong> 25</blockquote>\r\n<blockquote> <strong>E.</strong> 48</blockquote>\r\nThe correct answer is Choice (B). Five students in the Venn diagram picked football and basketball. This is the portion of the diagram that football and basketball have in common.\r\n<blockquote>How many students did not choose football or basketball?\r\n\r\n<strong>A.</strong> 2\r\n\r\n<strong>B.</strong> 5\r\n\r\n<strong>C.</strong> 23\r\n\r\n<strong>D.</strong> 25\r\n\r\n<strong>E.</strong> 48</blockquote>\r\nThe correct answer is Choice (A). There are two students who did not fall inside the Venn diagram’s circles; therefore, they chose neither football nor basketball.\r\n<h2 id=\"tab7\" >Scramble around scatter plots</h2>\r\nIf you want to determine the strength of your relationship, use a <a href=\"https://www.dummies.com/education/graphing-calculators/how-to-graph-a-scatter-plot-of-data/\">scatter plot</a>. Scatter plots are graphical representations of two variables determining whether a positive, a negative, or no correlation exists. A <em>correlation</em> is a relationship between two variables in which as one increases or decreases, the other one tends to increase or decrease. There is a correlation between time studying and test scores, for example. As time studying increases, test scores tend to increase.\r\n\r\nData from two sets are plotted in scatter plots as ordered pairs (<em>x, y</em>). You can draw three conclusions from scatter plots:\r\n<ul>\r\n \t<li>If the coordinates are close to forming a straight line that rises up from left to right, then a positive relationship or correlation exists.</li>\r\n \t<li>If the coordinates are close to forming a straight line (line of best fit) with one variable increasing as the other decreases, then a negative relationship or correlation exists.</li>\r\n \t<li>If the coordinates don’t come close to forming a line and are all over the place, then <em>no relationship or correlation exists!</em> Hence, the name scatter plot.</li>\r\n</ul>\r\nHere are the three types of correlations:\r\n\r\n<img class=\"alignnone size-full wp-image-268443\" src=\"https://www.dummies.com/wp-content/uploads/praxis-correlations.jpg\" alt=\"correlations in data\" width=\"556\" height=\"219\" />\r\n<p class=\"article-tips remember\">Make sure to give your plot a title and make sure to label your axes when you create a scatter plot.</p>\r\nCorrelation alone does not prove causation. If a variable tends to increase as another variable increases, for example, it does not mean that the tendency is caused by the other variable. The number of mud puddles tends to become greater when the occurrence of lightning rises. Does an increase in the occurrence of lightning cause the number of mud puddles to get higher? Do the additions of mud puddles cause more lightning? The correlation between the two does not prove that one causes the other, and in fact neither causes the other. An increase in rain causes both.\r\n\r\nAlso, even when a change in one variable does cause a change in another, that alone does not prove which variable change is causing which. Studies have shown that changes in the closeness of the moon cause shifting of the tides, but the correlation by itself is not the proof. If correlation worked that way, we could just as easily conclude that the shifting of the tides causes major changes in the closeness of the moon.\r\n<h2 id=\"tab8\" >Loiter around line plots</h2>\r\nIf you want to see your mode (the value that occurs the most) pop up quickly, use a line plot. A line plot, also known as a dot plot, allows you to identify the range, mode, and outliers in your data set. Follow these simple steps:\r\n<ol>\r\n \t<li><strong> Put your data in order from least to greatest.</strong></li>\r\n \t<li><strong> Arrange your data on a number line.</strong></li>\r\n \t<li><strong> Mark each value in the data set with an <em>x</em> or a dot.</strong></li>\r\n</ol>\r\n<blockquote>Using the following line plot, determine the mode of the data set.\r\n\r\n<img class=\"alignnone size-full wp-image-268442\" src=\"https://www.dummies.com/wp-content/uploads/praxis-line-plot.jpg\" alt=\"line plot\" width=\"556\" height=\"247\" /></blockquote>\r\n<blockquote> <strong>A.</strong> 50</blockquote>\r\n<blockquote> <strong>B.</strong> 60</blockquote>\r\n<blockquote> <strong>C.</strong> 70</blockquote>\r\n<blockquote> <strong>D.</strong> 80</blockquote>\r\n<blockquote> <strong>E.</strong> 90</blockquote>\r\nThe correct answer is Choice (E). The score of 90 appears in the data set the most.","description":"For the Praxis Core exam, you need to become familiar with many ways to display or represent your data. Using lists, tables, graphs, charts, and plots to represent data is a surefire way to make sure you aren’t tricked by the data. These methods of organizing data can also help you see patterns more readily. In the sections that follow, you become skilled at dissecting and interpreting different types of data representations.\r\n<h2 id=\"tab1\" >Tables</h2>\r\nWhen you have gobs of data about a particular subject, you can sort, analyze, and display your data in a table. Tables only work if you have at least two sets of data to be organized into columns and rows.\r\n<p class=\"article-tips remember\">When working with tables, make sure to pay attention to the title of the table; it helps you understand what data to analyze. Next, notice the column and row titles.</p>\r\nIn the following table, the data for the types of flowers and the number of each type of plant in Mary’s flower bed are listed. Make sure to read your question carefully and dissect the data accordingly.\r\n<blockquote>Which ratio compares the number of rose plants to the number of daffodil plants?\r\n\r\n<img class=\"alignnone size-full wp-image-268451\" src=\"https://www.dummies.com/wp-content/uploads/praxis-ratio.jpg\" alt=\"data table\" width=\"556\" height=\"401\" />\r\n\r\n<strong>A.</strong> 3:2\r\n\r\n<strong>B.</strong> 2:3\r\n\r\n<strong>C.</strong> 4:3\r\n\r\n<strong>D.</strong> 5:6\r\n\r\n<strong>E.</strong> 3:4</blockquote>\r\nThe correct answer is Choice (B). The ratio of roses to daffodils is 8:12; when factored, the ratio is 2:3. The Praxis Core exam will expect answers in the simplest form.\r\n<h2 id=\"tab2\" >Bar graphs and line graphs</h2>\r\nA bar graph uses the length of vertical or horizontal bars to represent numbers and compare data. Bar graphs are good to use when your data is in categories. Bar graphs must contain a title, axis labels for the horizontal and vertical axis, scales, and bars that represent numbers.\r\n<blockquote>The following bar graph shows the number of canned goods collected by homerooms at Cardozo Middle School.\r\n\r\n<img class=\"alignnone size-full wp-image-268450\" src=\"https://www.dummies.com/wp-content/uploads/praxis-bar-line-graphs.jpg\" alt=\"bar and line graphs\" width=\"556\" height=\"384\" />\r\n\r\nMr. Smith’s homeroom collected more cans than how many other homerooms?\r\n\r\n<strong> A.</strong> 3\r\n\r\n<strong>B.</strong> 4\r\n\r\n<strong>C.</strong> 5\r\n\r\n<strong> D.</strong> 6\r\n\r\n<strong>E.</strong> 7</blockquote>\r\nThe correct answer is Choice (A). Use the graph to compare the number of cans collected by each homeroom. According to the lengths of the vertical bars, Mr. Smith’s homeroom collected more cans than Mr. Lewis, Mr. Davis, and Mrs. Reed’s classes.\r\n\r\nLine graphs are graphs that show data that is connected in some way over a period of time. Suppose you’re preparing for a statistics test and each day you take a short online quiz to see how you’re progressing. These are the results:\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td width=\"255\">Day 1</td>\r\n<td width=\"340\">30 percent</td>\r\n</tr>\r\n<tr>\r\n<td width=\"255\">Day 2</td>\r\n<td width=\"340\">20 percent</td>\r\n</tr>\r\n<tr>\r\n<td width=\"255\">Day 3</td>\r\n<td width=\"340\">50 percent</td>\r\n</tr>\r\n<tr>\r\n<td width=\"255\">Day 4</td>\r\n<td width=\"340\">60 percent</td>\r\n</tr>\r\n<tr>\r\n<td width=\"255\">Day 5</td>\r\n<td width=\"340\">80 percent</td>\r\n</tr>\r\n</tbody>\r\n</table>\r\nAfter you’ve created a table from your results, display them in a line graph. You can then decide, based on your progress on the practice quizzes, how likely you are to pass your statistics test. What trends do you see in the following graph?\r\n\r\n<img class=\"alignnone size-full wp-image-268449\" src=\"https://www.dummies.com/wp-content/uploads/praxis-trends.jpg\" alt=\"data trends\" width=\"556\" height=\"380\" />\r\n\r\nThe graph indicates that as the days of practicing the online quizzes increase, your score increases; so, you will, more than likely, pass your statistics test.\r\n<h2 id=\"tab3\" >Pie charts</h2>\r\nAre you ready for a slice of pie? Pie charts are also known as circle graphs. These graphs focus on a whole set of data that is divided into parts. Each category represented in a pie chart is represented by a part, called a <em>sector,</em> of the interior of the circle. The portion of the circle interior a category’s sector takes up is part of what represents the portion of the whole (population, number of items sold, and so on) the category makes up. For example, if a pie chart represents categories of county government spending and 10 percent of the county government spending goes to road maintenance, the category of road maintenance would be labeled in a sector that takes up 10 percent of the interior of the circle. The sector would also have “10%” presented in it, and the sector would be labeled with “Road Maintenance.”\r\n<ol>\r\n \t<li><strong> Move the decimal point two places to the right and add a percent symbol.</strong></li>\r\n \t<li><strong> Multiply the percent by 360 to get the number of degrees for that slice of your pie chart.</strong></li>\r\n \t<li><strong> Display all the slices together in the pie chart.</strong></li>\r\n</ol>\r\nThe following table shows the conversion of raw data to information that can be used to create a pie chart. The resulting pie chart is shown in the example question.\r\n\r\n<img class=\"alignnone size-full wp-image-268448\" src=\"https://www.dummies.com/wp-content/uploads/praxis-reading-pie-chart.jpg\" alt=\"reading a pie chart\" width=\"556\" height=\"316\" />\r\n<p class=\"article-tips remember\">When reading a pie chart, the larger the value, the larger the piece of pie!</p>\r\n\r\n<h2 id=\"tab4\" >Stem-and-leaf plots</h2>\r\nA stem-and-leaf plot blossoms into a useful graph when analyzed properly. You usually use this type of graph when you have large amounts of data to analyze. You can analyze data sets such as classroom test results or scores of the basketball team using a stem-and-leaf plot.\r\n\r\nBased on place value, each value in your data set is divided into a stem and leaf. What each stem and leaf plot represents is indicated by a Key. Draw a vertical line to separate the stem from the leaf. The leaf is always the last digit in the number. The stem represents all other digits to the left of the leaf. To divide 105 into stem-and-leaf format, you draw a line to separate the stem from the leaf, which indicates a stem of 10 and a leaf of 5.\r\n\r\nSay you have the following numbers:\r\n\r\n50, 65, 65, 60, 50, 50, 55, 70, 55\r\n\r\nThe first step is to arrange your data in least-to-greatest order, as follows:\r\n\r\n50, 50, 50, 55, 55, 60, 65, 65, 70\r\n\r\nNow arrange these numbers vertically in a table:\r\n<table><caption><strong>Math Test Results</strong></caption>\r\n<thead>\r\n<tr>\r\n<td width=\"132\"><strong>Stem</strong></td>\r\n<td width=\"132\"><strong>Leaf</strong></td>\r\n</tr>\r\n<tr>\r\n<td width=\"132\">5</td>\r\n<td width=\"132\">0 0 0 5 5</td>\r\n</tr>\r\n</thead>\r\n<tbody>\r\n<tr>\r\n<td width=\"132\">6</td>\r\n<td width=\"132\">0 5 5</td>\r\n</tr>\r\n<tr>\r\n<td width=\"132\">7</td>\r\n<td width=\"132\">0</td>\r\n</tr>\r\n</tbody>\r\n</table>\r\nKey: 5|0 means 50\r\n\r\nThis arrangement allows you to quickly identify your stems. Your stems in the data set are 5, 6, and 7. You have five data values in the list in the 50s: 50, 50, 50, 55, and 55. The leaves that go along with the 5 stem are 0, 0, 0, 5, and 5. You have three data values in the 60s: 60, 65, and 65. The leaves that go with the 6 stem are 0, 5, and 5. Finally, you have one leaf with a data value of 0 to accompany the stem of 7.\r\n\r\nWhen using a stem-and-leaf plot, you can quickly identify the least and greatest values in the data set (50 and 70), calculate the range (), and calculate the median or middle number (55).\r\n<blockquote>The following data shows the number of people visiting a particular frozen yogurt shop per hour across a 12-hour day.\r\n\r\nHourly customers: 4, 17, 22, 31, 39, 40, 25, 43, 35, 40, 38, 13.\r\n\r\nWhen this data is arranged in a stem-and-leaf plot, you get the following diagram. Use it to answer the questions that follow.</blockquote>\r\n<strong>Hourly Customers</strong>\r\n<table width=\"302\">\r\n<thead>\r\n<tr>\r\n<td width=\"151\"><strong>Stem</strong></td>\r\n<td width=\"151\"><strong>Leaf</strong></td>\r\n</tr>\r\n<tr>\r\n<td width=\"151\">0</td>\r\n<td width=\"151\">4</td>\r\n</tr>\r\n</thead>\r\n<tbody>\r\n<tr>\r\n<td width=\"151\">1</td>\r\n<td width=\"151\">3 7</td>\r\n</tr>\r\n<tr>\r\n<td width=\"151\">2</td>\r\n<td width=\"151\">2 5</td>\r\n</tr>\r\n<tr>\r\n<td width=\"151\">3</td>\r\n<td width=\"151\">1 5 8 9</td>\r\n</tr>\r\n<tr>\r\n<td width=\"151\">4</td>\r\n<td width=\"151\">0 0 3</td>\r\n</tr>\r\n</tbody>\r\n</table>\r\n<em>Key: 4|0 means 40</em>\r\n<blockquote>What was the largest number of people that entered the shop during an hour?</blockquote>\r\nThe correct answer is 43. Based on the diagram, the highest stem is 4 and the highest leaf in that stem is 3.\r\n<h2 id=\"tab5\" >Box-and-whisker plots</h2>\r\nBox-and-whisker plots, also known as box plots, show different parts of a data set using a line of numbers that are in order from least to greatest.\r\n\r\nA box-and-whisker plot allows you to divide your data into four parts using <em>quartiles.</em> The <em>median,</em> or <em>middle quartile,</em> divides the data into a lower half and an upper half (for more on finding the median, see the later section “Measuring arithmetic mean, median, or mode”). The median of the lower half is <em>the lower quartile.</em> The median of the upper half is the <em>upper quartile.</em> Your data set will contain the following five parts:\r\n<ul>\r\n \t<li><strong>The least value:</strong> The smallest value in the data set.</li>\r\n \t<li><strong>The lower quartile:</strong> The median of the lower half of the data set.</li>\r\n \t<li><strong>The median:</strong> The median or middle quartile. This divides the data into a lower half and an upper half. The median is the number in the center. If two numbers are in the center, find the average of the two middle values.</li>\r\n \t<li><strong>The upper quartile:</strong> The median of the upper half of the data set.</li>\r\n \t<li><strong>The greatest value:</strong> The largest value in the data set.</li>\r\n</ul>\r\nThe following diagram shows how data is dissected using a box-and-whisker plot. To create a box-and-whisker plot, follow the diagram below.\r\n\r\n<img class=\"alignnone size-full wp-image-268447\" src=\"https://www.dummies.com/wp-content/uploads/praxis-box-whisker-plot.jpg\" alt=\"box whisker plot\" width=\"556\" height=\"364\" />\r\n\r\nThe diagram begins with the <em>data set.</em> The data set is then put in least-to-greatest order. Underline the <em>least value</em> and the <em>greatest value</em> in the data set. Then find the <em>median</em> of the entire data set. Remember, when calculating the median, if there are two values in the center of a data set, find their average. The median divides the data set into the lower set and higher set<em>.</em> You must then find the median of the lower set. That is the <em>lower quartile</em>, or Q1. You also must find the median of the upper set. That median is the <em>upper quartile</em>, or Q3. The median of the entire set of data is Q2. The word “quartile” can also be used to refer to a division of numbers marked off by Q1, Q2, Q3, or the highest number in the entire set.\r\n\r\nAfter dissecting the data into the five values, graph the five values on a number line. Draw a box from Q1 to Q3. Draw a vertical line inside the box at Q2. The lines connecting the least and greatest values to the box are called the <em>whiskers.</em>\r\n\r\n<img class=\"alignnone size-full wp-image-268446\" src=\"https://www.dummies.com/wp-content/uploads/praxis-whiskers.jpg\" alt=\"whiskers\" width=\"556\" height=\"175\" />\r\n<blockquote>Use the following graph to answer the following questions.\r\n\r\n<img class=\"alignnone size-full wp-image-268445\" src=\"https://www.dummies.com/wp-content/uploads/praxis-box-plot.jpg\" alt=\"box plot\" width=\"556\" height=\"106\" />\r\n\r\nThis box plot indicates the scores from yesterday’s math test. Approximately what percent of the students did not get above 65%?\r\n\r\n<strong>A.</strong> 25%\r\n\r\n<strong>B.</strong> 50%\r\n\r\n<strong>C.</strong> 65%\r\n\r\n<strong> D.</strong> 75%\r\n\r\n<strong>E.</strong> 85%</blockquote>\r\nThe correct answer is Choice (A). The box-and-whisker plot indicates that the lowest score on the test was 60. The median of the lower quartile is 65, so about 25 percent of the students scored lower than 65. It could be exactly 25 percent, depending on the number of students.\r\n<blockquote>What is the median test score from yesterday’s math test?</blockquote>\r\n<blockquote> <strong>A.</strong> 25%</blockquote>\r\n<blockquote> <strong>B.</strong> 50%</blockquote>\r\n<blockquote> <strong>C.</strong> 65%</blockquote>\r\n<blockquote> <strong>D.</strong> 75%</blockquote>\r\n<blockquote> <strong>E.</strong> 85%</blockquote>\r\nThe correct answer is Choice (D). The median of the box-and-whisker plot is indicated by a line drawn through the center of the box. The value graphed at this point is 75.\r\n<h2 id=\"tab6\" >Venn diagrams</h2>\r\n“Venn” you need to picture relationships between different groups of things, use a Venn diagram. A <em>Venn diagram</em> is an illustration where individual data sets are represented using basic geometry shapes such as ovals, circles, or other shapes. Simply draw and label two or more overlapping circles to represent the sets you’re comparing. The sets overlap in an area called the <em>intersection.</em> When an item is listed in both sets, it goes in the intersection. If an item doesn’t fit in either set, it falls outside the circles or other shapes.\r\n<blockquote>Use the following graph to answer the following questions.\r\n\r\n<img class=\"alignnone size-full wp-image-268444\" src=\"https://www.dummies.com/wp-content/uploads/praxis-venn-diagram.jpg\" alt=\"venn diagram\" width=\"556\" height=\"380\" />\r\n\r\nFootball is the favorite sport of how many students in the Venn diagram?\r\n\r\n<strong>A.</strong> 2\r\n\r\n<strong>B.</strong> 5\r\n\r\n<strong>C.</strong> 23\r\n\r\n<strong>D.</strong> 25\r\n\r\n<strong>E.</strong> 48</blockquote>\r\nThe correct answer is Choice (C). In the Venn diagram, 23 students picked football as their favorite sport. This is the only portion of the diagram reserved for football <em>only</em>.\r\n<blockquote>Football and basketball are the favorite sports of how many students?</blockquote>\r\n<blockquote> <strong>A.</strong> 2</blockquote>\r\n<blockquote> <strong>B.</strong> 5</blockquote>\r\n<blockquote> <strong>C.</strong> 23</blockquote>\r\n<blockquote> <strong> D.</strong> 25</blockquote>\r\n<blockquote> <strong>E.</strong> 48</blockquote>\r\nThe correct answer is Choice (B). Five students in the Venn diagram picked football and basketball. This is the portion of the diagram that football and basketball have in common.\r\n<blockquote>How many students did not choose football or basketball?\r\n\r\n<strong>A.</strong> 2\r\n\r\n<strong>B.</strong> 5\r\n\r\n<strong>C.</strong> 23\r\n\r\n<strong>D.</strong> 25\r\n\r\n<strong>E.</strong> 48</blockquote>\r\nThe correct answer is Choice (A). There are two students who did not fall inside the Venn diagram’s circles; therefore, they chose neither football nor basketball.\r\n<h2 id=\"tab7\" >Scramble around scatter plots</h2>\r\nIf you want to determine the strength of your relationship, use a <a href=\"https://www.dummies.com/education/graphing-calculators/how-to-graph-a-scatter-plot-of-data/\">scatter plot</a>. Scatter plots are graphical representations of two variables determining whether a positive, a negative, or no correlation exists. A <em>correlation</em> is a relationship between two variables in which as one increases or decreases, the other one tends to increase or decrease. There is a correlation between time studying and test scores, for example. As time studying increases, test scores tend to increase.\r\n\r\nData from two sets are plotted in scatter plots as ordered pairs (<em>x, y</em>). You can draw three conclusions from scatter plots:\r\n<ul>\r\n \t<li>If the coordinates are close to forming a straight line that rises up from left to right, then a positive relationship or correlation exists.</li>\r\n \t<li>If the coordinates are close to forming a straight line (line of best fit) with one variable increasing as the other decreases, then a negative relationship or correlation exists.</li>\r\n \t<li>If the coordinates don’t come close to forming a line and are all over the place, then <em>no relationship or correlation exists!</em> Hence, the name scatter plot.</li>\r\n</ul>\r\nHere are the three types of correlations:\r\n\r\n<img class=\"alignnone size-full wp-image-268443\" src=\"https://www.dummies.com/wp-content/uploads/praxis-correlations.jpg\" alt=\"correlations in data\" width=\"556\" height=\"219\" />\r\n<p class=\"article-tips remember\">Make sure to give your plot a title and make sure to label your axes when you create a scatter plot.</p>\r\nCorrelation alone does not prove causation. If a variable tends to increase as another variable increases, for example, it does not mean that the tendency is caused by the other variable. The number of mud puddles tends to become greater when the occurrence of lightning rises. Does an increase in the occurrence of lightning cause the number of mud puddles to get higher? Do the additions of mud puddles cause more lightning? The correlation between the two does not prove that one causes the other, and in fact neither causes the other. An increase in rain causes both.\r\n\r\nAlso, even when a change in one variable does cause a change in another, that alone does not prove which variable change is causing which. Studies have shown that changes in the closeness of the moon cause shifting of the tides, but the correlation by itself is not the proof. If correlation worked that way, we could just as easily conclude that the shifting of the tides causes major changes in the closeness of the moon.\r\n<h2 id=\"tab8\" >Loiter around line plots</h2>\r\nIf you want to see your mode (the value that occurs the most) pop up quickly, use a line plot. A line plot, also known as a dot plot, allows you to identify the range, mode, and outliers in your data set. Follow these simple steps:\r\n<ol>\r\n \t<li><strong> Put your data in order from least to greatest.</strong></li>\r\n \t<li><strong> Arrange your data on a number line.</strong></li>\r\n \t<li><strong> Mark each value in the data set with an <em>x</em> or a dot.</strong></li>\r\n</ol>\r\n<blockquote>Using the following line plot, determine the mode of the data set.\r\n\r\n<img class=\"alignnone size-full wp-image-268442\" src=\"https://www.dummies.com/wp-content/uploads/praxis-line-plot.jpg\" alt=\"line plot\" width=\"556\" height=\"247\" /></blockquote>\r\n<blockquote> <strong>A.</strong> 50</blockquote>\r\n<blockquote> <strong>B.</strong> 60</blockquote>\r\n<blockquote> <strong>C.</strong> 70</blockquote>\r\n<blockquote> <strong>D.</strong> 80</blockquote>\r\n<blockquote> <strong>E.</strong> 90</blockquote>\r\nThe correct answer is Choice (E). The score of 90 appears in the data set the most.","blurb":"","authors":[{"authorId":10794,"name":"Carla C. Kirkland","slug":"carla-c-kirkland","description":" <p><b>Carla C. Kirkland</b> is CEO of The Kirkland Group, a consulting firm providing professional development, technical assistance, and standardized test preparation to schools. <b>Chan Cleveland,</b> Executive Vice President of The Kirkland Group, has created and revised language arts standards for many school districts. ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/10794"}},{"authorId":9384,"name":"Chan Cleveland","slug":"chan-cleveland","description":" <p><b>Carla C. Kirkland</b> is CEO of The Kirkland Group, a consulting firm providing professional development, technical assistance, and standardized test preparation to schools. <b>Chan Cleveland,</b> Executive Vice President of The Kirkland Group, has created and revised language arts standards for many school districts. ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/9384"}}],"primaryCategoryTaxonomy":{"categoryId":33807,"title":"Praxis","slug":"praxis","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33807"}},"secondaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":[{"articleId":192609,"title":"How to Pray the Rosary: A Comprehensive Guide","slug":"how-to-pray-the-rosary","categoryList":["body-mind-spirit","religion-spirituality","christianity","catholicism"],"_links":{"self":"/articles/192609"}},{"articleId":208741,"title":"Kabbalah For Dummies Cheat Sheet","slug":"kabbalah-for-dummies-cheat-sheet","categoryList":["body-mind-spirit","religion-spirituality","kabbalah"],"_links":{"self":"/articles/208741"}},{"articleId":230957,"title":"Nikon D3400 For Dummies Cheat 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Exam","slug":"register-praxis-core-academic-skills-educators-exam","categoryList":["academics-the-arts","teaching","skills-tests","praxis"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/254476"}}]},"hasRelatedBookFromSearch":false,"relatedBook":{"bookId":282492,"slug":"praxis-core-for-dummies-with-online-practice-tests-3rd-edition","isbn":"9781119888178","categoryList":["academics-the-arts","teaching","skills-tests","praxis"],"amazon":{"default":"https://www.amazon.com/gp/product/1119888174/ref=as_li_tl?ie=UTF8&tag=wiley01-20","ca":"https://www.amazon.ca/gp/product/1119888174/ref=as_li_tl?ie=UTF8&tag=wiley01-20","indigo_ca":"http://www.tkqlhce.com/click-9208661-13710633?url=https://www.chapters.indigo.ca/en-ca/books/product/1119888174-item.html&cjsku=978111945484","gb":"https://www.amazon.co.uk/gp/product/1119888174/ref=as_li_tl?ie=UTF8&tag=wiley01-20","de":"https://www.amazon.de/gp/product/1119888174/ref=as_li_tl?ie=UTF8&tag=wiley01-20"},"image":{"src":null,"width":0,"height":0},"title":"Praxis Core 2023-2024 For Dummies","testBankPinActivationLink":"","bookOutOfPrint":true,"authorsInfo":"<p><p><b><b data-author-id=\"10794\">Carla C. Kirkland</b></b> is CEO of The Kirkland Group, a consulting firm providing professional development, technical assistance, and standardized test preparation to schools. <b>Chan Cleveland,</b> Executive Vice President of The Kirkland Group, has created and revised language arts standards for many school districts. <p><b>Carla C. Kirkland</b> is CEO of The Kirkland Group, a consulting firm providing professional development, technical assistance, and standardized test preparation to schools. <b><b data-author-id=\"9384\">Chan Cleveland</b>,</b> Executive Vice President of The Kirkland Group, has created and revised language arts standards for many school districts.</p>","authors":[{"authorId":10794,"name":"Carla C. Kirkland","slug":"carla-c-kirkland","description":" <p><b>Carla C. Kirkland</b> is CEO of The Kirkland Group, a consulting firm providing professional development, technical assistance, and standardized test preparation to schools. <b>Chan Cleveland,</b> Executive Vice President of The Kirkland Group, has created and revised language arts standards for many school districts. ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/10794"}},{"authorId":9384,"name":"Chan Cleveland","slug":"chan-cleveland","description":" <p><b>Carla C. Kirkland</b> is CEO of The Kirkland Group, a consulting firm providing professional development, technical assistance, and standardized test preparation to schools. <b>Chan Cleveland,</b> Executive Vice President of The Kirkland Group, has created and revised language arts standards for many school districts. ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/9384"}}],"_links":{"self":"https://dummies-api.dummies.com/v2/books/"}},"collections":[],"articleAds":{"footerAd":"<div class=\"du-ad-region row\" id=\"article_page_adhesion_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_adhesion_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;teaching&quot;,&quot;skills-tests&quot;,&quot;praxis&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[&quot;9781119888178&quot;]}]\" id=\"du-slot-63221abd95ac5\"></div></div>","rightAd":"<div class=\"du-ad-region row\" id=\"article_page_right_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_right_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;teaching&quot;,&quot;skills-tests&quot;,&quot;praxis&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[&quot;9781119888178&quot;]}]\" id=\"du-slot-63221abd96388\"></div></div>"},"articleType":{"articleType":"Articles","articleList":null,"content":null,"videoInfo":{"videoId":null,"name":null,"accountId":null,"playerId":null,"thumbnailUrl":null,"description":null,"uploadDate":null}},"sponsorship":{"sponsorshipPage":false,"backgroundImage":{"src":null,"width":0,"height":0},"brandingLine":"","brandingLink":"","brandingLogo":{"src":null,"width":0,"height":0},"sponsorAd":"","sponsorEbookTitle":"","sponsorEbookLink":"","sponsorEbookImage":{"src":null,"width":0,"height":0}},"primaryLearningPath":"Advance","lifeExpectancy":null,"lifeExpectancySetFrom":null,"dummiesForKids":"no","sponsoredContent":"no","adInfo":"","adPairKey":[]},"status":"publish","visibility":"public","articleId":268441},{"headers":{"creationTime":"2020-02-24T00:31:59+00:00","modifiedTime":"2020-02-24T00:32:00+00:00","timestamp":"2022-09-14T18:17:33+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Teaching","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33800"},"slug":"teaching","categoryId":33800},{"name":"Skills Tests","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33806"},"slug":"skills-tests","categoryId":33806},{"name":"Praxis","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33807"},"slug":"praxis","categoryId":33807}],"title":"How to Narrow Down Answer Choices on the Praxis Math Test","strippedTitle":"how to narrow down answer choices on the praxis math test","slug":"how-to-narrow-down-answer-choices-on-the-praxis-math-test","canonicalUrl":"","seo":{"metaDescription":"Learn how to improve your chances on the Praxis math test by eliminating choices that you know are wrong and narrowing down your options.","noIndex":0,"noFollow":0},"content":"You improve your chances of choosing the right answer on the <a href=\"https://www.dummies.com/test-prep/praxis/praxis-core-for-dummies-cheat-sheet/\">Praxis math test</a> — and choosing it quickly — by eliminating choices that you know are wrong. This narrows the set of choices to consider and helps lead you to the right answer. Not only does this increase the probability of getting the right answer, but another advantage is that it helps lead you to better considerations.\r\n<h2 id=\"tab1\" >How to eliminate obviously wrong answer choices</h2>\r\nIf a choice is so outrageous that it couldn’t possibly be the correct answer, you should eliminate it from consideration. For example, the length of a rectangle can never be greater than the rectangle’s perimeter. A person’s age years ago can’t be greater than his or her current age. The mean of a set of data can never be greater than the highest number. These are just some examples of impossibilities you can readily notice.\r\n<blockquote> If 3<em>j</em> = 90, what is the value of <em>j</em>?\r\n\r\n<strong>A. </strong> 270\r\n\r\n<strong>B.</strong> 30\r\n\r\n<strong>C.</strong> 60\r\n\r\n<strong>D.</strong> 120\r\n\r\n<strong>E.</strong> 3</blockquote>\r\nThe correct answer is Choice (B). You can find the answer by solving the equation.\r\n\r\nTo help ensure you get the correct answer, you can eliminate Choices (A) and (D) because both of those choices are greater than 90. You have to multiply 3 by a positive number to get 90, and no positive number is greater than 3 times itself. Eliminating those choices leaves you with three choices to consider instead of five. Choices (C) and (E) are randomly incorrect.\r\n\r\n<img class=\"alignnone size-full wp-image-268436\" src=\"https://www.dummies.com/wp-content/uploads/praxis-radius.jpg\" alt=\"radius\" width=\"327\" height=\"327\" />\r\n<blockquote>The radius of the preceding circle is 12 meters. What is the circumference of the circle?\r\n\r\n<strong> A.</strong> 24π meters\r\n\r\n<strong>B. </strong> 12π meters\r\n\r\n<strong> C.</strong> 12 meters\r\n\r\n<strong>D. </strong> 144π meters\r\n\r\n<strong>E. </strong> 6π meters</blockquote>\r\nThe correct answer is Choice (A). The formula for the circumference of a circle is C = 2π<em>r</em>. Substituting 12 m for <em>r,</em> you get 2π(12 m) = 24π m. You can eliminate Choice (C) right away because neither π nor a decimal number, which would result from multiplying 12 by a decimal approximation of π, is in the answer. Another reason Choice (C) can be eliminated is because the radius of a circle can’t possibly equal the circle’s circumference. Multiplying by 2π can never be the same as multiplying by 1; 2π is not equal to 1, and it never will be, as far as we know. Choice (B) can be eliminated because multiplying by π is not the same as multiplying by 2π. You can also eliminate Choice (E) because the number that precedes π in a representation of a circumference can’t be less than its radius unless different units are used. Multiplying a positive number by 2π has to result in an increase. The three eliminations leave you with Choices (A) and (D), and that puts you closer to the right answer. Choice (D) is incorrect because it is the area of the circle, not the circumference, except with m instead of m<sup>2</sup>. If the unit were m<sup>2</sup>, you could eliminate it right away because circumference is not properly expressed in square units.\r\n<h2 id=\"tab2\" >Avoid the most common wrong answers</h2>\r\nOther choices to watch out for and be ready to eliminate are the ones that result from the most common calculation mistakes. Memorizing the rules for all the math topics you’ll face on the Praxis is important for avoiding these common mistakes.\r\n\r\nFor geometry questions, some of the most common mistakes involve getting formulas confused, such as area and circumference. If you have a question about the area or circumference of a circle, you may have an answer choice that gives you the number involved in a measure about which you’re not being asked. Be ready to avoid such answers.\r\n\r\nAlso remember the difference between the interior angle sums of triangles and quadrilaterals. Choices may be the result of using the wrong number. Confusion between supplementary and complementary angles is common, and so is confusion between formulas for surface area and volume. Forgetting the formulas for the volume of pyramids and cones also happens often.\r\n\r\nAs for algebra and number and quantity questions, losing track of the fact that a number is negative is one of the most common mistakes. The distributive property is very frequently used improperly. Remember that the term right before the parentheses is supposed to be multiplied by every term in the parentheses, not just the first one. 5(<em>x</em> + 3) is equal to 5<em>x</em> + 15, not 5<em>x</em> + 3.\r\n\r\nThe rules for switching between decimals and percents can be easily confused. Keep in mind that moving a decimal two places to the right is multiplying by 100 and moving the decimal two places to the left is dividing by 100. Dropping a percent symbol is multiplying by 100 because doing so undoes dividing by 100, and writing a percent symbol is dividing by 100 because a percent symbol means “hundredths,” or “divided by 100.”\r\n\r\nFor statistics and probability questions, be careful about confusing mean, median, and mode. People often forget that the median of a set of data can be found only when the numbers are in order. When using scientific notation, be careful about the direction in which you move decimals. Numbers resulting from wrong decimal directions may be in the choices.\r\n<h2 id=\"tab3\" >Sample questions</h2>\r\n<blockquote>Which of the following has the same value as 35.937 percent?</blockquote>\r\n<blockquote> <strong>A.</strong> 3,593.7</blockquote>\r\n<blockquote> <strong>B.</strong> 3.5937</blockquote>\r\n<blockquote> <strong>C.</strong> 0.35937</blockquote>\r\n<blockquote> <strong> D.</strong> 35,937</blockquote>\r\n<blockquote> <strong>E.</strong> 0.035937</blockquote>\r\nThe correct answer is Choice (C). To convert a percent to a decimal number, drop the percent symbol, which can be % or the word “percent,” and move the decimal two places to the left. Choice (A) results from dropping the percent symbol and moving the decimal two places to the right. The other choices result from moving the decimal points something other than two places to the right or left. The main lesson here is that Choice (A) can be reached through a very common mistake in converting percents to decimals. You want to avoid such wrong choices. They’re lurking, so be ready.\r\n<blockquote> 45 17 90 28 17\r\n\r\nWhat is the median of the preceding set of data?</blockquote>\r\n<blockquote> <strong>A.</strong> 28</blockquote>\r\n<blockquote> <strong>B.</strong> 90</blockquote>\r\n<blockquote> <strong>C.</strong> 17</blockquote>\r\n<blockquote> <strong>D.</strong> 39.4</blockquote>\r\n<blockquote> <strong>E.</strong> 45</blockquote>\r\nThe correct answer is Choice (A). When the numbers are in order, the middle number is 28. It is therefore the median. Interestingly, Choice (A) also happens to be the range of the set of data. Hopefully, you didn’t reach the correct answer because you mistook median for range. Sometimes mistakes lead to the right answers, but we don’t advise counting on that method. Choice (B) is the middle number in the set of data as it is presented, but not when the data is in order. Choice (C) is the mode and the lowest number. Choice (D) is the mean. Choice (E) is just one of the numbers in the set of data.","description":"You improve your chances of choosing the right answer on the <a href=\"https://www.dummies.com/test-prep/praxis/praxis-core-for-dummies-cheat-sheet/\">Praxis math test</a> — and choosing it quickly — by eliminating choices that you know are wrong. This narrows the set of choices to consider and helps lead you to the right answer. Not only does this increase the probability of getting the right answer, but another advantage is that it helps lead you to better considerations.\r\n<h2 id=\"tab1\" >How to eliminate obviously wrong answer choices</h2>\r\nIf a choice is so outrageous that it couldn’t possibly be the correct answer, you should eliminate it from consideration. For example, the length of a rectangle can never be greater than the rectangle’s perimeter. A person’s age years ago can’t be greater than his or her current age. The mean of a set of data can never be greater than the highest number. These are just some examples of impossibilities you can readily notice.\r\n<blockquote> If 3<em>j</em> = 90, what is the value of <em>j</em>?\r\n\r\n<strong>A. </strong> 270\r\n\r\n<strong>B.</strong> 30\r\n\r\n<strong>C.</strong> 60\r\n\r\n<strong>D.</strong> 120\r\n\r\n<strong>E.</strong> 3</blockquote>\r\nThe correct answer is Choice (B). You can find the answer by solving the equation.\r\n\r\nTo help ensure you get the correct answer, you can eliminate Choices (A) and (D) because both of those choices are greater than 90. You have to multiply 3 by a positive number to get 90, and no positive number is greater than 3 times itself. Eliminating those choices leaves you with three choices to consider instead of five. Choices (C) and (E) are randomly incorrect.\r\n\r\n<img class=\"alignnone size-full wp-image-268436\" src=\"https://www.dummies.com/wp-content/uploads/praxis-radius.jpg\" alt=\"radius\" width=\"327\" height=\"327\" />\r\n<blockquote>The radius of the preceding circle is 12 meters. What is the circumference of the circle?\r\n\r\n<strong> A.</strong> 24π meters\r\n\r\n<strong>B. </strong> 12π meters\r\n\r\n<strong> C.</strong> 12 meters\r\n\r\n<strong>D. </strong> 144π meters\r\n\r\n<strong>E. </strong> 6π meters</blockquote>\r\nThe correct answer is Choice (A). The formula for the circumference of a circle is C = 2π<em>r</em>. Substituting 12 m for <em>r,</em> you get 2π(12 m) = 24π m. You can eliminate Choice (C) right away because neither π nor a decimal number, which would result from multiplying 12 by a decimal approximation of π, is in the answer. Another reason Choice (C) can be eliminated is because the radius of a circle can’t possibly equal the circle’s circumference. Multiplying by 2π can never be the same as multiplying by 1; 2π is not equal to 1, and it never will be, as far as we know. Choice (B) can be eliminated because multiplying by π is not the same as multiplying by 2π. You can also eliminate Choice (E) because the number that precedes π in a representation of a circumference can’t be less than its radius unless different units are used. Multiplying a positive number by 2π has to result in an increase. The three eliminations leave you with Choices (A) and (D), and that puts you closer to the right answer. Choice (D) is incorrect because it is the area of the circle, not the circumference, except with m instead of m<sup>2</sup>. If the unit were m<sup>2</sup>, you could eliminate it right away because circumference is not properly expressed in square units.\r\n<h2 id=\"tab2\" >Avoid the most common wrong answers</h2>\r\nOther choices to watch out for and be ready to eliminate are the ones that result from the most common calculation mistakes. Memorizing the rules for all the math topics you’ll face on the Praxis is important for avoiding these common mistakes.\r\n\r\nFor geometry questions, some of the most common mistakes involve getting formulas confused, such as area and circumference. If you have a question about the area or circumference of a circle, you may have an answer choice that gives you the number involved in a measure about which you’re not being asked. Be ready to avoid such answers.\r\n\r\nAlso remember the difference between the interior angle sums of triangles and quadrilaterals. Choices may be the result of using the wrong number. Confusion between supplementary and complementary angles is common, and so is confusion between formulas for surface area and volume. Forgetting the formulas for the volume of pyramids and cones also happens often.\r\n\r\nAs for algebra and number and quantity questions, losing track of the fact that a number is negative is one of the most common mistakes. The distributive property is very frequently used improperly. Remember that the term right before the parentheses is supposed to be multiplied by every term in the parentheses, not just the first one. 5(<em>x</em> + 3) is equal to 5<em>x</em> + 15, not 5<em>x</em> + 3.\r\n\r\nThe rules for switching between decimals and percents can be easily confused. Keep in mind that moving a decimal two places to the right is multiplying by 100 and moving the decimal two places to the left is dividing by 100. Dropping a percent symbol is multiplying by 100 because doing so undoes dividing by 100, and writing a percent symbol is dividing by 100 because a percent symbol means “hundredths,” or “divided by 100.”\r\n\r\nFor statistics and probability questions, be careful about confusing mean, median, and mode. People often forget that the median of a set of data can be found only when the numbers are in order. When using scientific notation, be careful about the direction in which you move decimals. Numbers resulting from wrong decimal directions may be in the choices.\r\n<h2 id=\"tab3\" >Sample questions</h2>\r\n<blockquote>Which of the following has the same value as 35.937 percent?</blockquote>\r\n<blockquote> <strong>A.</strong> 3,593.7</blockquote>\r\n<blockquote> <strong>B.</strong> 3.5937</blockquote>\r\n<blockquote> <strong>C.</strong> 0.35937</blockquote>\r\n<blockquote> <strong> D.</strong> 35,937</blockquote>\r\n<blockquote> <strong>E.</strong> 0.035937</blockquote>\r\nThe correct answer is Choice (C). To convert a percent to a decimal number, drop the percent symbol, which can be % or the word “percent,” and move the decimal two places to the left. Choice (A) results from dropping the percent symbol and moving the decimal two places to the right. The other choices result from moving the decimal points something other than two places to the right or left. The main lesson here is that Choice (A) can be reached through a very common mistake in converting percents to decimals. You want to avoid such wrong choices. They’re lurking, so be ready.\r\n<blockquote> 45 17 90 28 17\r\n\r\nWhat is the median of the preceding set of data?</blockquote>\r\n<blockquote> <strong>A.</strong> 28</blockquote>\r\n<blockquote> <strong>B.</strong> 90</blockquote>\r\n<blockquote> <strong>C.</strong> 17</blockquote>\r\n<blockquote> <strong>D.</strong> 39.4</blockquote>\r\n<blockquote> <strong>E.</strong> 45</blockquote>\r\nThe correct answer is Choice (A). When the numbers are in order, the middle number is 28. It is therefore the median. Interestingly, Choice (A) also happens to be the range of the set of data. Hopefully, you didn’t reach the correct answer because you mistook median for range. Sometimes mistakes lead to the right answers, but we don’t advise counting on that method. Choice (B) is the middle number in the set of data as it is presented, but not when the data is in order. Choice (C) is the mode and the lowest number. Choice (D) is the mean. Choice (E) is just one of the numbers in the set of data.","blurb":"","authors":[{"authorId":10794,"name":"Carla C. Kirkland","slug":"carla-c-kirkland","description":" <p><b>Carla C. Kirkland</b> is CEO of The Kirkland Group, a consulting firm providing professional development, technical assistance, and standardized test preparation to schools. <b>Chan Cleveland,</b> Executive Vice President of The Kirkland Group, has created and revised language arts standards for many school districts. ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/10794"}},{"authorId":9384,"name":"Chan Cleveland","slug":"chan-cleveland","description":" <p><b>Carla C. Kirkland</b> is CEO of The Kirkland Group, a consulting firm providing professional development, technical assistance, and standardized test preparation to schools. <b>Chan Cleveland,</b> Executive Vice President of The Kirkland Group, has created and revised language arts standards for many school districts. ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/9384"}}],"primaryCategoryTaxonomy":{"categoryId":33807,"title":"Praxis","slug":"praxis","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33807"}},"secondaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":[{"articleId":192609,"title":"How to Pray the Rosary: A Comprehensive Guide","slug":"how-to-pray-the-rosary","categoryList":["body-mind-spirit","religion-spirituality","christianity","catholicism"],"_links":{"self":"/articles/192609"}},{"articleId":208741,"title":"Kabbalah For Dummies Cheat Sheet","slug":"kabbalah-for-dummies-cheat-sheet","categoryList":["body-mind-spirit","religion-spirituality","kabbalah"],"_links":{"self":"/articles/208741"}},{"articleId":230957,"title":"Nikon D3400 For Dummies Cheat 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Exam","slug":"register-praxis-core-academic-skills-educators-exam","categoryList":["academics-the-arts","teaching","skills-tests","praxis"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/254476"}}]},"hasRelatedBookFromSearch":false,"relatedBook":{"bookId":282492,"slug":"praxis-core-for-dummies-with-online-practice-tests-3rd-edition","isbn":"9781119888178","categoryList":["academics-the-arts","teaching","skills-tests","praxis"],"amazon":{"default":"https://www.amazon.com/gp/product/1119888174/ref=as_li_tl?ie=UTF8&tag=wiley01-20","ca":"https://www.amazon.ca/gp/product/1119888174/ref=as_li_tl?ie=UTF8&tag=wiley01-20","indigo_ca":"http://www.tkqlhce.com/click-9208661-13710633?url=https://www.chapters.indigo.ca/en-ca/books/product/1119888174-item.html&cjsku=978111945484","gb":"https://www.amazon.co.uk/gp/product/1119888174/ref=as_li_tl?ie=UTF8&tag=wiley01-20","de":"https://www.amazon.de/gp/product/1119888174/ref=as_li_tl?ie=UTF8&tag=wiley01-20"},"image":{"src":null,"width":0,"height":0},"title":"Praxis Core 2023-2024 For Dummies","testBankPinActivationLink":"","bookOutOfPrint":true,"authorsInfo":"<p><p><b><b data-author-id=\"10794\">Carla C. Kirkland</b></b> is CEO of The Kirkland Group, a consulting firm providing professional development, technical assistance, and standardized test preparation to schools. <b>Chan Cleveland,</b> Executive Vice President of The Kirkland Group, has created and revised language arts standards for many school districts. <p><b>Carla C. Kirkland</b> is CEO of The Kirkland Group, a consulting firm providing professional development, technical assistance, and standardized test preparation to schools. <b><b data-author-id=\"9384\">Chan Cleveland</b>,</b> Executive Vice President of The Kirkland Group, has created and revised language arts standards for many school districts.</p>","authors":[{"authorId":10794,"name":"Carla C. Kirkland","slug":"carla-c-kirkland","description":" <p><b>Carla C. Kirkland</b> is CEO of The Kirkland Group, a consulting firm providing professional development, technical assistance, and standardized test preparation to schools. <b>Chan Cleveland,</b> Executive Vice President of The Kirkland Group, has created and revised language arts standards for many school districts. ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/10794"}},{"authorId":9384,"name":"Chan Cleveland","slug":"chan-cleveland","description":" <p><b>Carla C. Kirkland</b> is CEO of The Kirkland Group, a consulting firm providing professional development, technical assistance, and standardized test preparation to schools. <b>Chan Cleveland,</b> Executive Vice President of The Kirkland Group, has created and revised language arts standards for many school districts. ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/9384"}}],"_links":{"self":"https://dummies-api.dummies.com/v2/books/"}},"collections":[],"articleAds":{"footerAd":"<div class=\"du-ad-region row\" id=\"article_page_adhesion_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_adhesion_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;teaching&quot;,&quot;skills-tests&quot;,&quot;praxis&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[&quot;9781119888178&quot;]}]\" id=\"du-slot-63221abd8d622\"></div></div>","rightAd":"<div class=\"du-ad-region row\" id=\"article_page_right_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_right_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;teaching&quot;,&quot;skills-tests&quot;,&quot;praxis&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[&quot;9781119888178&quot;]}]\" id=\"du-slot-63221abd8ded1\"></div></div>"},"articleType":{"articleType":"Articles","articleList":null,"content":null,"videoInfo":{"videoId":null,"name":null,"accountId":null,"playerId":null,"thumbnailUrl":null,"description":null,"uploadDate":null}},"sponsorship":{"sponsorshipPage":false,"backgroundImage":{"src":null,"width":0,"height":0},"brandingLine":"","brandingLink":"","brandingLogo":{"src":null,"width":0,"height":0},"sponsorAd":"","sponsorEbookTitle":"","sponsorEbookLink":"","sponsorEbookImage":{"src":null,"width":0,"height":0}},"primaryLearningPath":"Advance","lifeExpectancy":null,"lifeExpectancySetFrom":null,"dummiesForKids":"no","sponsoredContent":"no","adInfo":"","adPairKey":[]},"status":"publish","visibility":"public","articleId":268435},{"headers":{"creationTime":"2020-02-24T00:20:23+00:00","modifiedTime":"2020-02-24T00:23:32+00:00","timestamp":"2022-09-14T18:17:33+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Teaching","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33800"},"slug":"teaching","categoryId":33800},{"name":"Skills Tests","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33806"},"slug":"skills-tests","categoryId":33806},{"name":"Praxis","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33807"},"slug":"praxis","categoryId":33807}],"title":"Visual- and Quantitative-Information Questions on the Praxis Reading Test","strippedTitle":"visual- and quantitative-information questions on the praxis reading test","slug":"visual-and-quantitative-information-questions-on-the-praxis-reading-test","canonicalUrl":"","seo":{"metaDescription":"Explore visual- and quantitative-information questions—questions about charts and graphs—on the Praxis reading comprehension test.","noIndex":0,"noFollow":0},"content":"The most unusual thing about the <a href=\"https://www.dummies.com/test-prep/praxis/praxis-core-for-dummies-cheat-sheet/\">Praxis Core reading test</a> (don’t worry — we said <em>unusual</em>, not <em>difficult</em>) is that it includes what are referred to as <em>visual- and quantitative-information</em> questions, which is the Praxis’s fancy term for questions about charts and graphs. Most reading and writing tests don’t do this.\r\n\r\nThere aren’t a ton of visual- and quantitative-information questions on the Praxis exam. There may only be two or three. Depending on the exam you happen to take, you may see three questions all about the same graph, or you may see one or two questions each about a couple of different graphs. But every point helps, so this section tells you about these questions.\r\n<h2 id=\"tab1\" >Rethink charts and graphs</h2>\r\nIf charts and graphs make you nervous because they seem more like math and science stuff than reading and writing stuff, the first step for you is to think about visual- and numeric-representation questions differently. The fact that visual- and quantitative-information questions are on the Praxis reading portion of the exam isn’t a mistake or the result of someone’s bizarre whim — it proves that, regardless of appearances, these questions really are reading-comprehension questions at heart.\r\n<p class=\"article-tips remember\">A graph — or any kind of picture — can be thought of as a visual depiction of information that could also be presented verbally. Just as you could either compose the sentence “A horse jumps over a fence” or you could draw a picture of a horse jumping over a fence to represent the same idea, a bar graph, line graph, pie chart, or any other type of chart or graph can be thought of as verbal information presented in pictorial form.</p>\r\nSo, relax. The visual- and quantitative-information questions <em>are</em> reading-comprehension questions. They’re just different.\r\n<h2 id=\"tab2\" >Graphs on the Reading Comprehension Test</h2>\r\nThe most common type of a graph is a line graph. A line graph represents the relationship between two variables: an independent variable plotted along the <em>x</em> (horizontal) axis and a dependent variable (a variable that <em>depends on</em> the first one) plotted along the <em>y</em> (vertical) axis. The line running through the quadrant formed by their intersection is what you look at to figure out what value for one variable is paired with what value for the other. So, say you had a line graph that plotted the relationship between “hours spent studying” and “score on the Praxis reading test” (as though everyone who studied for the same amount of time got the exact same score, which would certainly be nice …). The “hours spent studying” would be plotted with hatch marks along the horizontal axis, and the various possible “scores on the Praxis reading test” would be plotted along the vertical axis, because this is the variable that depends on the other one. If you want to know the score someone who studied for, say, five hours, would get, you’d just proceed upward from the five-hour hatch mark on the bottom until you hit the line representing the actual data, then turn and go left until you hit the corresponding score on the side of the graph.\r\n\r\n<img class=\"alignnone size-full wp-image-268427\" src=\"https://www.dummies.com/wp-content/uploads/praxis-line-graph.jpg\" alt=\"line graph on Praxis\" width=\"556\" height=\"485\" />\r\n\r\nAnother type of graph commonly found in Praxis visual- and quantitative-information questions is a bar graph. Rather than depicting the relationship between an independent and a dependent variable like a line graph does, a bar graph represents how different categories stack up against each other with respect to some particular idea. For example, you might use a bar graph to compare the number of World Series won by various baseball teams. The names of all the teams would be plotted along the horizontal with a bar above each name, and the heights of the bars would indicate the number of World Series each team had won, with the vertical axis of the graph hatch-marked to indicate how many championships were represented by a given bar height. The bar representing the New York Yankees would be very high (some might say unfairly high); the bars representing the St. Louis Cardinals, Oakland Athletics, and Boston Red Sox would be lower, but still respectably high; and the San Diego Padres and Texas Rangers wouldn’t have bars over their names at all (at least not as of this writing, since neither team has yet won a World Series).\r\n\r\n<img class=\"alignnone size-full wp-image-268428\" src=\"https://www.dummies.com/wp-content/uploads/praxis-bar-graph.jpg\" alt=\"bar graph for Praxis\" width=\"556\" height=\"283\" />\r\n\r\nYou could also plot that same information with another common type of graph called a pie chart. The difference between a pie chart and a bar graph is that a pie chart represents percentages of a total, so it looks like a circle with different-sized triangle-like pieces marked off inside it (hence its name). On a World Series pie chart, the Yankees’ slice of the pie would be nearly one-fourth of the whole pie, as there have been 115 World Series and the Yankees have won 27 of them. The Cardinals’ slice would be about one-tenth of the pie (11 World Series victories out of 115). Because a pie graph represents percentages of a total, the teams that have never won a World Series wouldn’t appear on the pie at all.\r\n\r\n<img class=\"alignnone size-full wp-image-268429\" src=\"https://www.dummies.com/wp-content/uploads/praxis-pie-chart.jpg\" alt=\"pie chart for Praxis\" width=\"351\" height=\"500\" />\r\n\r\nBut really, there’s no sense in trying to memorize every type of chart or graph in the world. There are far too many ways to represent data visually for it to be in your interest to try and guess which types of charts or graphs will make an appearance when you take the exam. The best approach is to identify key words from the question, connect them to information represented in the graph, and then analyze the answer choices.\r\n<h2 id=\"tab3\" >Sample question</h2>\r\n<img class=\"alignnone size-full wp-image-268430\" src=\"https://www.dummies.com/wp-content/uploads/praxis-visual-question-sample.jpg\" alt=\"sample visual question graph\" width=\"556\" height=\"298\" />\r\n<blockquote>Based on the preceding graph, the biggest drop-off in popularity between consecutively ranked pets is between\r\n\r\n<strong>A.</strong> the most popular pet and the second most popular pet.\r\n\r\n<strong>B.</strong> the second most popular pet and the third most popular pet.\r\n\r\n<strong>C.</strong> the third most popular pet and the fourth most popular pet.\r\n\r\n<strong>D.</strong> the fourth most popular pet and the fifth most popular pet.\r\n\r\n<strong>E.</strong> The drop-offs in popularity between the first and second most popular pets and between the third and fourth most popular pets were equally large.</blockquote>\r\nThe correct answer is Choice (B). In order to answer this question correctly, you have to think about the pets in order of most popular to least popular — that is, rank them <em>consecutively</em> as the question states. The biggest drop-off in popularity between consecutively ranked pets by a fairly wide margin is between cats (the second-most-popular pet, chosen by 25 students) and fish (the third most popular pet, chosen by about 17 or 18 students), with a drop-off of 7 or 8 votes. Note that the bar graph doesn’t allow you to judge perfectly how many students voted for fish, but that doesn’t matter. Whether fish got 17 or 18 votes, the biggest drop-off in popularity is still between cats and fish.\r\n\r\nChoice (A) is wrong because cats only got two or three fewer votes than dogs, so this isn’t the biggest drop-off in popularity. Choice (C) is wrong because ferrets only got three or four fewer votes than fish, so this isn’t the biggest drop-off in popularity. Choice (D) is wrong because hamsters only got one or two fewer votes than ferrets, so this isn’t the biggest drop-off in popularity.\r\n\r\nChoice (E) is wrong because, although it is <em>true</em> that the gap between dogs and cats and the gap between fish and ferrets are equally large, neither of them is the largest drop-off in popularity. It doesn’t matter that they were equally large, because the question was asking for the largest drop-off! Be careful!","description":"The most unusual thing about the <a href=\"https://www.dummies.com/test-prep/praxis/praxis-core-for-dummies-cheat-sheet/\">Praxis Core reading test</a> (don’t worry — we said <em>unusual</em>, not <em>difficult</em>) is that it includes what are referred to as <em>visual- and quantitative-information</em> questions, which is the Praxis’s fancy term for questions about charts and graphs. Most reading and writing tests don’t do this.\r\n\r\nThere aren’t a ton of visual- and quantitative-information questions on the Praxis exam. There may only be two or three. Depending on the exam you happen to take, you may see three questions all about the same graph, or you may see one or two questions each about a couple of different graphs. But every point helps, so this section tells you about these questions.\r\n<h2 id=\"tab1\" >Rethink charts and graphs</h2>\r\nIf charts and graphs make you nervous because they seem more like math and science stuff than reading and writing stuff, the first step for you is to think about visual- and numeric-representation questions differently. The fact that visual- and quantitative-information questions are on the Praxis reading portion of the exam isn’t a mistake or the result of someone’s bizarre whim — it proves that, regardless of appearances, these questions really are reading-comprehension questions at heart.\r\n<p class=\"article-tips remember\">A graph — or any kind of picture — can be thought of as a visual depiction of information that could also be presented verbally. Just as you could either compose the sentence “A horse jumps over a fence” or you could draw a picture of a horse jumping over a fence to represent the same idea, a bar graph, line graph, pie chart, or any other type of chart or graph can be thought of as verbal information presented in pictorial form.</p>\r\nSo, relax. The visual- and quantitative-information questions <em>are</em> reading-comprehension questions. They’re just different.\r\n<h2 id=\"tab2\" >Graphs on the Reading Comprehension Test</h2>\r\nThe most common type of a graph is a line graph. A line graph represents the relationship between two variables: an independent variable plotted along the <em>x</em> (horizontal) axis and a dependent variable (a variable that <em>depends on</em> the first one) plotted along the <em>y</em> (vertical) axis. The line running through the quadrant formed by their intersection is what you look at to figure out what value for one variable is paired with what value for the other. So, say you had a line graph that plotted the relationship between “hours spent studying” and “score on the Praxis reading test” (as though everyone who studied for the same amount of time got the exact same score, which would certainly be nice …). The “hours spent studying” would be plotted with hatch marks along the horizontal axis, and the various possible “scores on the Praxis reading test” would be plotted along the vertical axis, because this is the variable that depends on the other one. If you want to know the score someone who studied for, say, five hours, would get, you’d just proceed upward from the five-hour hatch mark on the bottom until you hit the line representing the actual data, then turn and go left until you hit the corresponding score on the side of the graph.\r\n\r\n<img class=\"alignnone size-full wp-image-268427\" src=\"https://www.dummies.com/wp-content/uploads/praxis-line-graph.jpg\" alt=\"line graph on Praxis\" width=\"556\" height=\"485\" />\r\n\r\nAnother type of graph commonly found in Praxis visual- and quantitative-information questions is a bar graph. Rather than depicting the relationship between an independent and a dependent variable like a line graph does, a bar graph represents how different categories stack up against each other with respect to some particular idea. For example, you might use a bar graph to compare the number of World Series won by various baseball teams. The names of all the teams would be plotted along the horizontal with a bar above each name, and the heights of the bars would indicate the number of World Series each team had won, with the vertical axis of the graph hatch-marked to indicate how many championships were represented by a given bar height. The bar representing the New York Yankees would be very high (some might say unfairly high); the bars representing the St. Louis Cardinals, Oakland Athletics, and Boston Red Sox would be lower, but still respectably high; and the San Diego Padres and Texas Rangers wouldn’t have bars over their names at all (at least not as of this writing, since neither team has yet won a World Series).\r\n\r\n<img class=\"alignnone size-full wp-image-268428\" src=\"https://www.dummies.com/wp-content/uploads/praxis-bar-graph.jpg\" alt=\"bar graph for Praxis\" width=\"556\" height=\"283\" />\r\n\r\nYou could also plot that same information with another common type of graph called a pie chart. The difference between a pie chart and a bar graph is that a pie chart represents percentages of a total, so it looks like a circle with different-sized triangle-like pieces marked off inside it (hence its name). On a World Series pie chart, the Yankees’ slice of the pie would be nearly one-fourth of the whole pie, as there have been 115 World Series and the Yankees have won 27 of them. The Cardinals’ slice would be about one-tenth of the pie (11 World Series victories out of 115). Because a pie graph represents percentages of a total, the teams that have never won a World Series wouldn’t appear on the pie at all.\r\n\r\n<img class=\"alignnone size-full wp-image-268429\" src=\"https://www.dummies.com/wp-content/uploads/praxis-pie-chart.jpg\" alt=\"pie chart for Praxis\" width=\"351\" height=\"500\" />\r\n\r\nBut really, there’s no sense in trying to memorize every type of chart or graph in the world. There are far too many ways to represent data visually for it to be in your interest to try and guess which types of charts or graphs will make an appearance when you take the exam. The best approach is to identify key words from the question, connect them to information represented in the graph, and then analyze the answer choices.\r\n<h2 id=\"tab3\" >Sample question</h2>\r\n<img class=\"alignnone size-full wp-image-268430\" src=\"https://www.dummies.com/wp-content/uploads/praxis-visual-question-sample.jpg\" alt=\"sample visual question graph\" width=\"556\" height=\"298\" />\r\n<blockquote>Based on the preceding graph, the biggest drop-off in popularity between consecutively ranked pets is between\r\n\r\n<strong>A.</strong> the most popular pet and the second most popular pet.\r\n\r\n<strong>B.</strong> the second most popular pet and the third most popular pet.\r\n\r\n<strong>C.</strong> the third most popular pet and the fourth most popular pet.\r\n\r\n<strong>D.</strong> the fourth most popular pet and the fifth most popular pet.\r\n\r\n<strong>E.</strong> The drop-offs in popularity between the first and second most popular pets and between the third and fourth most popular pets were equally large.</blockquote>\r\nThe correct answer is Choice (B). In order to answer this question correctly, you have to think about the pets in order of most popular to least popular — that is, rank them <em>consecutively</em> as the question states. The biggest drop-off in popularity between consecutively ranked pets by a fairly wide margin is between cats (the second-most-popular pet, chosen by 25 students) and fish (the third most popular pet, chosen by about 17 or 18 students), with a drop-off of 7 or 8 votes. Note that the bar graph doesn’t allow you to judge perfectly how many students voted for fish, but that doesn’t matter. Whether fish got 17 or 18 votes, the biggest drop-off in popularity is still between cats and fish.\r\n\r\nChoice (A) is wrong because cats only got two or three fewer votes than dogs, so this isn’t the biggest drop-off in popularity. Choice (C) is wrong because ferrets only got three or four fewer votes than fish, so this isn’t the biggest drop-off in popularity. Choice (D) is wrong because hamsters only got one or two fewer votes than ferrets, so this isn’t the biggest drop-off in popularity.\r\n\r\nChoice (E) is wrong because, although it is <em>true</em> that the gap between dogs and cats and the gap between fish and ferrets are equally large, neither of them is the largest drop-off in popularity. It doesn’t matter that they were equally large, because the question was asking for the largest drop-off! Be careful!","blurb":"","authors":[{"authorId":10794,"name":"Carla C. Kirkland","slug":"carla-c-kirkland","description":" <p><b>Carla C. Kirkland</b> is CEO of The Kirkland Group, a consulting firm providing professional development, technical assistance, and standardized test preparation to schools. <b>Chan Cleveland,</b> Executive Vice President of The Kirkland Group, has created and revised language arts standards for many school districts. ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/10794"}},{"authorId":9384,"name":"Chan Cleveland","slug":"chan-cleveland","description":" <p><b>Carla C. Kirkland</b> is CEO of The Kirkland Group, a consulting firm providing professional development, technical assistance, and standardized test preparation to schools. <b>Chan Cleveland,</b> Executive Vice President of The Kirkland Group, has created and revised language arts standards for many school districts. ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/9384"}}],"primaryCategoryTaxonomy":{"categoryId":33807,"title":"Praxis","slug":"praxis","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33807"}},"secondaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":[{"articleId":192609,"title":"How to Pray the Rosary: A Comprehensive Guide","slug":"how-to-pray-the-rosary","categoryList":["body-mind-spirit","religion-spirituality","christianity","catholicism"],"_links":{"self":"/articles/192609"}},{"articleId":208741,"title":"Kabbalah For Dummies Cheat Sheet","slug":"kabbalah-for-dummies-cheat-sheet","categoryList":["body-mind-spirit","religion-spirituality","kabbalah"],"_links":{"self":"/articles/208741"}},{"articleId":230957,"title":"Nikon D3400 For Dummies Cheat 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Exam","slug":"register-praxis-core-academic-skills-educators-exam","categoryList":["academics-the-arts","teaching","skills-tests","praxis"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/254476"}}]},"hasRelatedBookFromSearch":false,"relatedBook":{"bookId":282492,"slug":"praxis-core-for-dummies-with-online-practice-tests-3rd-edition","isbn":"9781119888178","categoryList":["academics-the-arts","teaching","skills-tests","praxis"],"amazon":{"default":"https://www.amazon.com/gp/product/1119888174/ref=as_li_tl?ie=UTF8&tag=wiley01-20","ca":"https://www.amazon.ca/gp/product/1119888174/ref=as_li_tl?ie=UTF8&tag=wiley01-20","indigo_ca":"http://www.tkqlhce.com/click-9208661-13710633?url=https://www.chapters.indigo.ca/en-ca/books/product/1119888174-item.html&cjsku=978111945484","gb":"https://www.amazon.co.uk/gp/product/1119888174/ref=as_li_tl?ie=UTF8&tag=wiley01-20","de":"https://www.amazon.de/gp/product/1119888174/ref=as_li_tl?ie=UTF8&tag=wiley01-20"},"image":{"src":null,"width":0,"height":0},"title":"Praxis Core 2023-2024 For Dummies","testBankPinActivationLink":"","bookOutOfPrint":true,"authorsInfo":"<p><p><b><b data-author-id=\"10794\">Carla C. Kirkland</b></b> is CEO of The Kirkland Group, a consulting firm providing professional development, technical assistance, and standardized test preparation to schools. <b>Chan Cleveland,</b> Executive Vice President of The Kirkland Group, has created and revised language arts standards for many school districts. <p><b>Carla C. Kirkland</b> is CEO of The Kirkland Group, a consulting firm providing professional development, technical assistance, and standardized test preparation to schools. <b><b data-author-id=\"9384\">Chan Cleveland</b>,</b> Executive Vice President of The Kirkland Group, has created and revised language arts standards for many school districts.</p>","authors":[{"authorId":10794,"name":"Carla C. Kirkland","slug":"carla-c-kirkland","description":" <p><b>Carla C. Kirkland</b> is CEO of The Kirkland Group, a consulting firm providing professional development, technical assistance, and standardized test preparation to schools. <b>Chan Cleveland,</b> Executive Vice President of The Kirkland Group, has created and revised language arts standards for many school districts. ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/10794"}},{"authorId":9384,"name":"Chan Cleveland","slug":"chan-cleveland","description":" <p><b>Carla C. Kirkland</b> is CEO of The Kirkland Group, a consulting firm providing professional development, technical assistance, and standardized test preparation to schools. <b>Chan Cleveland,</b> Executive Vice President of The Kirkland Group, has created and revised language arts standards for many school districts. ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/9384"}}],"_links":{"self":"https://dummies-api.dummies.com/v2/books/"}},"collections":[],"articleAds":{"footerAd":"<div class=\"du-ad-region row\" id=\"article_page_adhesion_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_adhesion_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;teaching&quot;,&quot;skills-tests&quot;,&quot;praxis&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[&quot;9781119888178&quot;]}]\" id=\"du-slot-63221abd8559b\"></div></div>","rightAd":"<div class=\"du-ad-region row\" id=\"article_page_right_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_right_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;teaching&quot;,&quot;skills-tests&quot;,&quot;praxis&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[&quot;9781119888178&quot;]}]\" id=\"du-slot-63221abd85e48\"></div></div>"},"articleType":{"articleType":"Articles","articleList":null,"content":null,"videoInfo":{"videoId":null,"name":null,"accountId":null,"playerId":null,"thumbnailUrl":null,"description":null,"uploadDate":null}},"sponsorship":{"sponsorshipPage":false,"backgroundImage":{"src":null,"width":0,"height":0},"brandingLine":"","brandingLink":"","brandingLogo":{"src":null,"width":0,"height":0},"sponsorAd":"","sponsorEbookTitle":"","sponsorEbookLink":"","sponsorEbookImage":{"src":null,"width":0,"height":0}},"primaryLearningPath":"Advance","lifeExpectancy":null,"lifeExpectancySetFrom":null,"dummiesForKids":"no","sponsoredContent":"no","adInfo":"","adPairKey":[]},"status":"publish","visibility":"public","articleId":268426},{"headers":{"creationTime":"2017-05-01T05:27:36+00:00","modifiedTime":"2017-05-01T05:27:36+00:00","timestamp":"2022-09-14T18:18:40+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Teaching","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33800"},"slug":"teaching","categoryId":33800},{"name":"Skills Tests","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33806"},"slug":"skills-tests","categoryId":33806},{"name":"Praxis","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33807"},"slug":"praxis","categoryId":33807}],"title":"Practice Math Questions for Praxis: Pyramids","strippedTitle":"practice math questions for praxis: pyramids","slug":"practice-math-questions-praxis-pyramids","canonicalUrl":"","seo":{"metaDescription":"The ancient pyramids have mystified people for thousands of years, just as pyramid questions on the Praxis Core exam have mystified ill-prepared test-takers. Yo","noIndex":0,"noFollow":0},"content":"The ancient pyramids have mystified people for thousands of years, just as pyramid questions on the Praxis Core exam have mystified ill-prepared test-takers. You can avoid this dreaded curse by remembering two simple formulas for the surface area and volume of a pyramid.\r\n\r\nThe first practice question asks you to find a pyramid's surface area, while the second question drops a pyramid on top of a cube, and asks for their composite (combined) volume.\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol>\r\n\t<li>The following pyramid has a rectangular base. What is the surface area of the pyramid?\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/9781119263883-fg0154.gif\"><img class=\"alignnone wp-image-239135 size-full\" src=\"https://www.dummies.com/wp-content/uploads/9781119263883-fg0154.gif\" alt=\"praxis-core-pyramid\" width=\"350\" height=\"216\" /></a>\r\n\r\n<strong>A.</strong> 1,215 ft.<sup>2</sup>\r\n<strong>B.</strong> 1,980 ft.<sup>2</sup>\r\n<strong>C.</strong> 1,125 ft.<sup>2</sup>\r\n<strong>D.</strong> 450 ft.<sup>2</sup>\r\n<strong>E.</strong> 900 ft.<sup>2</sup>\r\n\r\n<em>Refer to the following figure for the next question.</em>\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/9781119263883-fg0155.gif\"><img class=\"alignnone wp-image-239136 size-full\" src=\"https://www.dummies.com/wp-content/uploads/9781119263883-fg0155.gif\" alt=\"praxis-core-composite\" width=\"300\" height=\"307\" /></a></li>\r\n\t<li>The composite figure is formed by a square pyramid on top of a cube. The pyramid and cube share a base. The height of the pyramid is 9 miles, and the height of the cube is 9 miles. What is the volume of the composite figure?\r\n\r\n<strong>A.</strong> 729 cubic miles\r\n<strong>B.</strong> 972 cubic miles\r\n<strong>C.</strong> 81 cubic miles\r\n<strong>D.</strong> 648 cubic miles\r\n<strong>E.</strong> 1,458 cubic miles</li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n\t<li>The correct answer is Choice <strong>(A).\r\n</strong>\r\nThe surface area of a pyramid is its lateral area plus its base area, or\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3501.gif\"><img class=\"alignnone size-full wp-image-239114\" src=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3501.gif\" alt=\"PRAXIS_3501\" width=\"59\" height=\"45\" /></a>\r\n\r\nThe base perimeter of the pyramid here is the sum of its side measures, so it's 90 ft. The slant height is given as 17 ft. The base area is the product of the length and width of the base, so it's 450 ft.<sup>2</sup>. With those measures, you can determine the surface area of the pyramid.\"\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3502.gif\"><img class=\"alignnone size-full wp-image-239115\" src=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3502.gif\" alt=\"PRAXIS_3502\" width=\"153\" height=\"204\" /></a>\r\n\r\nThe surface area of the pyramid is 1,215 ft.<sup>2</sup>.</li>\r\n\t<li>The correct answer is Choice <strong>(B).\r\n\r\n</strong>The volume of the composite figure is the sum of the volume of the cube and the volume of the pyramid. Find each separately and then add the volumes. The volume of the cube is the cube of its side measure:\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3503.gif\"><img class=\"alignnone size-full wp-image-239116\" src=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3503.gif\" alt=\"PRAXIS_3503\" width=\"59\" height=\"71\" /></a>\r\n\r\nThe volume of the cube is 729 cubic miles.\r\n\r\nThe volume of the pyramid is a third of its base area times its height. Its base is a square, so you can square its side measure to find the base area:\r\n\r\n9<sup>2</sup> = 81\r\n\r\nThe base area of the pyramid is 81 square miles. With that and the height of the pyramid, you can find the pyramid's volume:\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3504.gif\"><img class=\"alignnone size-full wp-image-239117\" src=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3504.gif\" alt=\"PRAXIS_3504\" width=\"93\" height=\"172\" /></a>\r\n\r\nNotice that the volume of the pyramid is 1/3 times the volume of the cube. That's because they have the same base area and height. The sum of the volume of the cube and the volume of the pyramid is the sum of 729 cubic miles and 243 cubic miles:\r\n\r\n729 + 243 = 972\r\n\r\nThe volume of the composite figure is 972 cubic miles.</li>\r\n</ol>","description":"The ancient pyramids have mystified people for thousands of years, just as pyramid questions on the Praxis Core exam have mystified ill-prepared test-takers. You can avoid this dreaded curse by remembering two simple formulas for the surface area and volume of a pyramid.\r\n\r\nThe first practice question asks you to find a pyramid's surface area, while the second question drops a pyramid on top of a cube, and asks for their composite (combined) volume.\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol>\r\n\t<li>The following pyramid has a rectangular base. What is the surface area of the pyramid?\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/9781119263883-fg0154.gif\"><img class=\"alignnone wp-image-239135 size-full\" src=\"https://www.dummies.com/wp-content/uploads/9781119263883-fg0154.gif\" alt=\"praxis-core-pyramid\" width=\"350\" height=\"216\" /></a>\r\n\r\n<strong>A.</strong> 1,215 ft.<sup>2</sup>\r\n<strong>B.</strong> 1,980 ft.<sup>2</sup>\r\n<strong>C.</strong> 1,125 ft.<sup>2</sup>\r\n<strong>D.</strong> 450 ft.<sup>2</sup>\r\n<strong>E.</strong> 900 ft.<sup>2</sup>\r\n\r\n<em>Refer to the following figure for the next question.</em>\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/9781119263883-fg0155.gif\"><img class=\"alignnone wp-image-239136 size-full\" src=\"https://www.dummies.com/wp-content/uploads/9781119263883-fg0155.gif\" alt=\"praxis-core-composite\" width=\"300\" height=\"307\" /></a></li>\r\n\t<li>The composite figure is formed by a square pyramid on top of a cube. The pyramid and cube share a base. The height of the pyramid is 9 miles, and the height of the cube is 9 miles. What is the volume of the composite figure?\r\n\r\n<strong>A.</strong> 729 cubic miles\r\n<strong>B.</strong> 972 cubic miles\r\n<strong>C.</strong> 81 cubic miles\r\n<strong>D.</strong> 648 cubic miles\r\n<strong>E.</strong> 1,458 cubic miles</li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n\t<li>The correct answer is Choice <strong>(A).\r\n</strong>\r\nThe surface area of a pyramid is its lateral area plus its base area, or\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3501.gif\"><img class=\"alignnone size-full wp-image-239114\" src=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3501.gif\" alt=\"PRAXIS_3501\" width=\"59\" height=\"45\" /></a>\r\n\r\nThe base perimeter of the pyramid here is the sum of its side measures, so it's 90 ft. The slant height is given as 17 ft. The base area is the product of the length and width of the base, so it's 450 ft.<sup>2</sup>. With those measures, you can determine the surface area of the pyramid.\"\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3502.gif\"><img class=\"alignnone size-full wp-image-239115\" src=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3502.gif\" alt=\"PRAXIS_3502\" width=\"153\" height=\"204\" /></a>\r\n\r\nThe surface area of the pyramid is 1,215 ft.<sup>2</sup>.</li>\r\n\t<li>The correct answer is Choice <strong>(B).\r\n\r\n</strong>The volume of the composite figure is the sum of the volume of the cube and the volume of the pyramid. Find each separately and then add the volumes. The volume of the cube is the cube of its side measure:\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3503.gif\"><img class=\"alignnone size-full wp-image-239116\" src=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3503.gif\" alt=\"PRAXIS_3503\" width=\"59\" height=\"71\" /></a>\r\n\r\nThe volume of the cube is 729 cubic miles.\r\n\r\nThe volume of the pyramid is a third of its base area times its height. Its base is a square, so you can square its side measure to find the base area:\r\n\r\n9<sup>2</sup> = 81\r\n\r\nThe base area of the pyramid is 81 square miles. With that and the height of the pyramid, you can find the pyramid's volume:\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3504.gif\"><img class=\"alignnone size-full wp-image-239117\" src=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3504.gif\" alt=\"PRAXIS_3504\" width=\"93\" height=\"172\" /></a>\r\n\r\nNotice that the volume of the pyramid is 1/3 times the volume of the cube. That's because they have the same base area and height. The sum of the volume of the cube and the volume of the pyramid is the sum of 729 cubic miles and 243 cubic miles:\r\n\r\n729 + 243 = 972\r\n\r\nThe volume of the composite figure is 972 cubic miles.</li>\r\n</ol>","blurb":"","authors":[{"authorId":9383,"name":"Carla Kirkland","slug":"carla-kirkland","description":"","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/9383"}},{"authorId":9384,"name":"Chan Cleveland","slug":"chan-cleveland","description":" <p><b>Carla C. Kirkland</b> is CEO of The Kirkland Group, a consulting firm providing professional development, technical assistance, and standardized test preparation to schools. <b>Chan Cleveland,</b> Executive Vice President of The Kirkland Group, has created and revised language arts standards for many school districts. ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/9384"}}],"primaryCategoryTaxonomy":{"categoryId":33807,"title":"Praxis","slug":"praxis","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33807"}},"secondaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":[{"articleId":192609,"title":"How to Pray the Rosary: A Comprehensive Guide","slug":"how-to-pray-the-rosary","categoryList":["body-mind-spirit","religion-spirituality","christianity","catholicism"],"_links":{"self":"/articles/192609"}},{"articleId":208741,"title":"Kabbalah For Dummies Cheat Sheet","slug":"kabbalah-for-dummies-cheat-sheet","categoryList":["body-mind-spirit","religion-spirituality","kabbalah"],"_links":{"self":"/articles/208741"}},{"articleId":230957,"title":"Nikon D3400 For Dummies Cheat 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Cones","slug":"practice-math-questions-praxis-cones","categoryList":["academics-the-arts","teaching","skills-tests","praxis"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/239130"}},{"articleId":239125,"title":"Practice Math Questions for Praxis: Cylinders","slug":"practice-math-questions-praxis-cylinders","categoryList":["academics-the-arts","teaching","skills-tests","praxis"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/239125"}},{"articleId":239121,"title":"Practice Math Questions for Praxis: Prisms","slug":"practice-math-questions-praxis-prisms","categoryList":["academics-the-arts","teaching","skills-tests","praxis"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/239121"}},{"articleId":239090,"title":"Practice Math Questions for Praxis: Similar and Congruent Shapes","slug":"practice-math-questions-praxis-similar-congruent-shapes","categoryList":["academics-the-arts","teaching","skills-tests","praxis"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/239090"}},{"articleId":239084,"title":"Practice Math Questions for Praxis: Pythagorean Theorem","slug":"practice-math-questions-praxis-pythagorean-theorem","categoryList":["academics-the-arts","teaching","skills-tests","praxis"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/239084"}}],"fromCategory":[{"articleId":268458,"title":"Capitalization: What You Need to Know for the Praxis Core","slug":"capitalization-what-you-need-to-know-for-the-praxis-core","categoryList":["academics-the-arts","teaching","skills-tests","praxis"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/268458"}},{"articleId":268455,"title":"Identify and Correct Errors in Praxis Core Selected-Response 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Core: 1,001 Practice Questions For Dummies","testBankPinActivationLink":"","bookOutOfPrint":false,"authorsInfo":"<p><b data-author-id=\"10794\">Carla Kirkland,</b> founder and CEO of the Kirkland Group, an educational consulting firm, has helped educators prepare their students for standardized tests for more than 20 years.</p> <p><b data-author-id=\"9384\">Chan Cleveland,</b> executive vice president of the Kirkland Group, is an English educator who has developed language arts resources for multiple school districts.</p>","authors":[{"authorId":10794,"name":"Carla C. Kirkland","slug":"carla-c-kirkland","description":" <p><b>Carla C. Kirkland</b> is CEO of The Kirkland Group, a consulting firm providing professional development, technical assistance, and standardized test preparation to schools. <b>Chan Cleveland,</b> Executive Vice President of The Kirkland Group, has created and revised language arts standards for many school districts. ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/10794"}},{"authorId":9384,"name":"Chan Cleveland","slug":"chan-cleveland","description":" <p><b>Carla C. Kirkland</b> is CEO of The Kirkland Group, a consulting firm providing professional development, technical assistance, and standardized test preparation to schools. <b>Chan Cleveland,</b> Executive Vice President of The Kirkland Group, has created and revised language arts standards for many school districts. 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The second-best—well, a distant second—are the ones you'll find on the Praxis Core exam.As you'll see ","noIndex":0,"noFollow":0},"content":"The best cones are those filled with chocolate ice cream. The second-best—well, a distant second—are the ones you'll find on the Praxis Core exam.\r\n\r\nAs you'll see in the following practice questions, you may be asked to calculate a cone's surface area (in this case, based on its lateral area and base area) or its volume (in this case, given its radius and slant height).\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol>\r\n\t<li>A cone has a lateral area of <a href=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3401.gif\"><img class=\"alignnone size-full wp-image-239105\" src=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3401.gif\" alt=\"PRAXIS_3401\" width=\"64\" height=\"23\" /></a> and a base area of <a href=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3402.gif\"><img class=\"alignnone size-full wp-image-239106\" src=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3402.gif\" alt=\"PRAXIS_3402\" width=\"72\" height=\"23\" /></a>.\r\n\r\nHow many square centimeters is the surface area of the cone?\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3403.gif\"><img class=\"alignnone size-full wp-image-239107\" src=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3403.gif\" alt=\"PRAXIS_3403\" width=\"113\" height=\"123\" /></a>\r\n\r\n<em>Refer to the following figure for the next question.</em>\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/9781119263883-fg0153.gif\"><img class=\"alignnone wp-image-239131 size-full\" src=\"https://www.dummies.com/wp-content/uploads/9781119263883-fg0153.gif\" alt=\"praxis-core-cone\" width=\"300\" height=\"390\" /></a></li>\r\n\t<li>What is the volume of the cone?\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3404.gif\"><img class=\"alignnone size-full wp-image-239108\" src=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3404.gif\" alt=\"PRAXIS_3404\" width=\"112\" height=\"125\" /></a></li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n\t<li>The correct answer is Choice <strong>(E).\r\n</strong>\r\nThe surface area of a cone is the sum of its lateral area <em>(L)</em> and base area. A cone has only one base, so you add <em>B</em> to the lateral area instead of 2<em>B</em>.\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3405.gif\"><img class=\"alignnone size-full wp-image-239109\" src=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3405.gif\" alt=\"PRAXIS_3405\" width=\"120\" height=\"67\" /></a>\r\n\r\nThe surface area of the cone is\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3406.gif\"><img class=\"alignnone size-full wp-image-239110\" src=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3406.gif\" alt=\"PRAXIS_3406\" width=\"72\" height=\"23\" /></a></li>\r\n\t<li>The correct answer is Choice<strong> (B).\r\n</strong>\r\nThe volume of a cone is a third of the product of its base and its height. The height of this cone isn't given, but you can use the Pythagorean theorem to find it. The height, a radius, and the slant height form a right triangle in which the height and the radius are perpendicular and the slant height is the hypotenuse.\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3407.gif\"><img class=\"alignnone size-full wp-image-239111\" src=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3407.gif\" alt=\"PRAXIS_3407\" width=\"108\" height=\"123\" /></a>\r\n\r\nThe height of the cone is 24 m. That times a third of the base area is the volume of the cone:\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3408.gif\"><img class=\"alignnone size-full wp-image-239112\" src=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3408.gif\" alt=\"PRAXIS_3408\" width=\"125\" height=\"223\" /></a>\r\n\r\nThe volume of the cone is\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3409.gif\"><img class=\"alignnone size-full wp-image-239113\" src=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3409.gif\" alt=\"PRAXIS_3409\" width=\"65\" height=\"23\" /></a></li>\r\n</ol>","description":"The best cones are those filled with chocolate ice cream. The second-best—well, a distant second—are the ones you'll find on the Praxis Core exam.\r\n\r\nAs you'll see in the following practice questions, you may be asked to calculate a cone's surface area (in this case, based on its lateral area and base area) or its volume (in this case, given its radius and slant height).\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol>\r\n\t<li>A cone has a lateral area of <a href=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3401.gif\"><img class=\"alignnone size-full wp-image-239105\" src=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3401.gif\" alt=\"PRAXIS_3401\" width=\"64\" height=\"23\" /></a> and a base area of <a href=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3402.gif\"><img class=\"alignnone size-full wp-image-239106\" src=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3402.gif\" alt=\"PRAXIS_3402\" width=\"72\" height=\"23\" /></a>.\r\n\r\nHow many square centimeters is the surface area of the cone?\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3403.gif\"><img class=\"alignnone size-full wp-image-239107\" src=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3403.gif\" alt=\"PRAXIS_3403\" width=\"113\" height=\"123\" /></a>\r\n\r\n<em>Refer to the following figure for the next question.</em>\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/9781119263883-fg0153.gif\"><img class=\"alignnone wp-image-239131 size-full\" src=\"https://www.dummies.com/wp-content/uploads/9781119263883-fg0153.gif\" alt=\"praxis-core-cone\" width=\"300\" height=\"390\" /></a></li>\r\n\t<li>What is the volume of the cone?\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3404.gif\"><img class=\"alignnone size-full wp-image-239108\" src=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3404.gif\" alt=\"PRAXIS_3404\" width=\"112\" height=\"125\" /></a></li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n\t<li>The correct answer is Choice <strong>(E).\r\n</strong>\r\nThe surface area of a cone is the sum of its lateral area <em>(L)</em> and base area. A cone has only one base, so you add <em>B</em> to the lateral area instead of 2<em>B</em>.\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3405.gif\"><img class=\"alignnone size-full wp-image-239109\" src=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3405.gif\" alt=\"PRAXIS_3405\" width=\"120\" height=\"67\" /></a>\r\n\r\nThe surface area of the cone is\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3406.gif\"><img class=\"alignnone size-full wp-image-239110\" src=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3406.gif\" alt=\"PRAXIS_3406\" width=\"72\" height=\"23\" /></a></li>\r\n\t<li>The correct answer is Choice<strong> (B).\r\n</strong>\r\nThe volume of a cone is a third of the product of its base and its height. The height of this cone isn't given, but you can use the Pythagorean theorem to find it. The height, a radius, and the slant height form a right triangle in which the height and the radius are perpendicular and the slant height is the hypotenuse.\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3407.gif\"><img class=\"alignnone size-full wp-image-239111\" src=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3407.gif\" alt=\"PRAXIS_3407\" width=\"108\" height=\"123\" /></a>\r\n\r\nThe height of the cone is 24 m. That times a third of the base area is the volume of the cone:\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3408.gif\"><img class=\"alignnone size-full wp-image-239112\" src=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3408.gif\" alt=\"PRAXIS_3408\" width=\"125\" height=\"223\" /></a>\r\n\r\nThe volume of the cone is\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3409.gif\"><img class=\"alignnone size-full wp-image-239113\" src=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3409.gif\" alt=\"PRAXIS_3409\" width=\"65\" height=\"23\" /></a></li>\r\n</ol>","blurb":"","authors":[{"authorId":9383,"name":"Carla Kirkland","slug":"carla-kirkland","description":"","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/9383"}},{"authorId":9384,"name":"Chan Cleveland","slug":"chan-cleveland","description":" <p><b>Carla C. Kirkland</b> is CEO of The Kirkland Group, a consulting firm providing professional development, technical assistance, and standardized test preparation to schools. <b>Chan Cleveland,</b> Executive Vice President of The Kirkland Group, has created and revised language arts standards for many school districts. ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/9384"}}],"primaryCategoryTaxonomy":{"categoryId":33807,"title":"Praxis","slug":"praxis","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33807"}},"secondaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":[{"articleId":192609,"title":"How to Pray the Rosary: A Comprehensive Guide","slug":"how-to-pray-the-rosary","categoryList":["body-mind-spirit","religion-spirituality","christianity","catholicism"],"_links":{"self":"/articles/192609"}},{"articleId":208741,"title":"Kabbalah For Dummies Cheat Sheet","slug":"kabbalah-for-dummies-cheat-sheet","categoryList":["body-mind-spirit","religion-spirituality","kabbalah"],"_links":{"self":"/articles/208741"}},{"articleId":230957,"title":"Nikon D3400 For Dummies Cheat 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Praxis Capitalization: What You Need to Know for the Praxis Core

Article / Updated 09-06-2023

When you first began looking into what is or isn’t tested on the Praxis writing exam, your reaction to finding out that there were questions about capitalization was probably something like “There are questions about capitalization on this test?! What am I, in third grade?” Yes, you almost certainly already know that the first letters of the first words of sentences are capitalized, as are people’s names; the names of proper places like cities, states, or countries; the names of companies like “Facebook”; the names of sports teams and bands; and the words in the titles of books, movies, and so on. You may not, however, know some of the trickier rules about capitalization, and those are the ones that the Praxis writing test will ask about. Here’s a rundown of the most common capitalization-related tricks: Titles, like “president”: Titles, such as “president,” “mayor,” and so forth, are only capitalized when they are placed before the name of, or used to indicate, a specific president or mayor or what have you. So, you should write “Abraham Lincoln was the 16th president,” but “Everyone knows that President Lincoln wore a stovepipe hat.” If you’re talking about the current president (or mayor, or whomever), you capitalize the word even if the person’s name doesn’t appear in the sentence, because you’re still indicating a specific person: “The President held a press conference this morning.” The same rule applies for God versus a god: You capitalize “God” when referring to a/the deity with the proper name God, but not when you’re talking about deities in general: “I prayed to God that I would pass the test” versus “Apollo was one of the Greek gods.” The names of seasons: Many people are unclear about this, but the rule is that the names of seasons are only capitalized if you are addressing the season directly, as you might in a poem. So, you say “I love the way the leaves change color in the fall,” but “Oh, my beloved Fall, how I love it when your leaves change color!” The names of specific regions, even if they are not actual countries: You should capitalize the names of all proper nouns, and that includes geographical areas that are not technically specific countries, cities, and the like: “My uncle frequently travels to the Far East.” You should not, however, capitalize the names of cardinal directions when they’re just used to indicate directions rather than an areas: “My uncle has to fly east to get to the Far East.” You should also not capitalize the “cardinal direction” part of a name when a suffix is attached to it, because that involves a comparison rather than a proper name, with the exception of cases where the cardinal direction with a comparative suffix is part of an actual proper noun: “Many people don’t realize that northern Brazil lies in the Northern Hemisphere.” Specific eras in history: The title of a specific period in history, even a slang or unofficial one, is a proper noun and should be capitalized accordingly: “The Disco Era was mercifully short-lived.”

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Praxis How to Register for the Praxis Exam

Article / Updated 12-14-2022

Before you register to take the Praxis, check with the local department of education to make sure you’re taking the right test. Don’t ask ETS or your mom or anyone else who isn’t in a position to admit you to a teaching program; they may give you wrong information, which can lead to wasted time and money. You can find out how to register to take the Praxis Core by going to the ETS website. The Praxis Core is offered during testing windows at more than 300 Prometric testing sites across the country. Contact your local testing site for specific questions regarding its testing windows. Test-takers must register at least three days prior to their intended test date, and you must pay the testing fee online. At the time of this writing, individual tests (reading, writing, or mathematics) cost $90; the price to take all three tests at once (on the same day) is discounted to $150. After you register, read all the admission ticket info to make sure all the content is correct. Contact ETS if you have any disabilities that require accommodations. Consider taking one test per day instead of multiple tests per day. You know your limits and abilities. Some people take all three tests on the same day, and they bomb all three. If you aren’t super confident that you can pass multiple tests in one sitting, you may want to schedule them for different days. This approach will also help you map out your study plan more strategically (see the next section). You can study for one test at a time instead of all three.

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Praxis How to Budget Your Time During the Praxis Exam

Article / Updated 12-14-2022

On test day, it’s all about pacing yourself. Look at the Praxis Core Academic Skills for Educators exam from the perspective of how many questions you have to answer per minute: The math and reading sections give you 85 minutes to answer 56 questions. This gives you a little over a minute and a half to answer each question. The writing section gives you 40 minutes to answer 40 multiple-choice questions. That comes out to one question per minute. The essay section gives you 60 minutes to write two essays. You may look at those numbers and think, “There’s no way I can answer questions that quickly!” But fear not. Here are some tips that will help you shave seconds off the amount of time it takes you to answer many of the questions: Watch the clock on the computer screen. Monitor the time on the computer screen like it’s your million-dollar countdown. Remember that you’ll have at least one minute per question, and you need to use every minute wisely. Don’t make time your sole focus. Don’t get so caught up on timing that you aren’t paying attention to what the questions are asking. Strike a balance between monitoring the time and concentrating on the task at hand. Watch for the traps. The people who write the assessment questions always add “trap” answers into the mix. These incorrect answers look like they’re correct, but they’re not. For example, you may see an answer to a word problem that’s achieved by multiplying when you should be dividing. It’s a trap. Watch out for it. Use the process of elimination. If you don’t know the answer immediately after reading the answer choices, try to eliminate as many answers as possible. Then guess at the answer. Your chances of guessing correctly increase as you eliminate more answer choices. Read all possible answers. Sift through each answer choice and ensure that you aren’t overlooking a better answer. Don’t select Choice (A) before looking at the alternative answer choices.

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Praxis Praxis Core For Dummies Cheat Sheet

Cheat Sheet / Updated 09-12-2022

Before you get too excited, understand that the following information isn’t actually about how to cheat on the Praxis. It’s really about the most efficient ways to prepare for the exam. But “preparation sheet” doesn’t quite have the same ring to it. Besides, cheating is unnecessary if you know what you’re doing, and sometimes figuring out what to do is actually easier. As Bart Simpson once said after accidentally studying for a test, “It was like a whole new way to cheat!”

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Praxis Identify and Correct Errors in Praxis Core Selected-Response Items

Article / Updated 02-24-2020

Correctly answering selected-response items on the writing portion of the Praxis requires that you read each question carefully. Where possible, put the question into your own words. Be sure to read every choice before you make your selection. Eliminate the obviously wrong choices The process of elimination can help you choose the correct answer in a selected-response question. Start by crossing off the answers that couldn’t be right. Then spend your time focusing on the possible correct choices before selecting your answer. Doing so greatly increases the odds of your choosing correctly. Pay special attention to answers that contain these words: none, never, all, more, always, and only. These words indicate that the answer is an undisputed fact and, consequently, isn’t likely to be the correct choice. Conditional words like usually or probably make the answer more likely. Be particularly careful of selected-response questions using the words not, least, and except. These questions usually ask you to select the choice that doesn’t fit. Stay alert! It’s easy to misread these questions. Don’t be afraid to say it’s right the way it is Although it may seem counterintuitive, if a sentence is correct as written, “No error” is the correct answer. Fear not: some tasks will be written correctly. Just be sure to consider all the choices before making your decision. The art of guessing as a last resort Your score is based on the number of correct answers. You’re not penalized for incorrect answers. For this reason, you should answer every question. If you face a difficult question, narrow your choices as much as possible and, if necessary, guess! Don’t spend too much time considering a difficult question. Mark the question and come back to it. Answer the easy questions first. You’re not expected to answer all the questions correctly. In order to pass the Praxis, you must simply achieve the minimum passing score for your state. A word of advice about “trusting your ear” If you grew up in a family of English teachers who corrected your every incorrect utterance, complete with an accompanying grammar lesson, it’s probably pretty safe for you to “trust your ear”; that is, whatever sounds right to you is likely to be right. However, if you’re like most people, you grew up in a family that was considerably less interested in your grammar. Language that sounds right to you is simply language you’re accustomed to hearing and may very well be incorrect. Play it safe and analyze the sentence carefully. It’s easy to make a mistake when “trusting the ear.” Consider some examples. Neither the boys nor the girl (is/are) paying attention. While “are” may sound right, the correct answer is “is.” The verb agrees with the closest subject when subjects are compound. I will split the cost between you and (I/me). You probably hear someone use the incorrect construction of “between you and I” pretty often. Just because you hear it spoken, though, doesn’t mean it’s correct grammar. Objects of the preposition must be objective case, so “me” is the pronoun to use here. You and (I/me) should see that new movie. In this example, the personal pronoun is being used as one of the subjects of the sentence. Subjects must be nominative case, so “I” is the correct choice here.

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Praxis How Data is Represented on the Praxis Core Exam

Article / Updated 02-24-2020

For the Praxis Core exam, you need to become familiar with many ways to display or represent your data. Using lists, tables, graphs, charts, and plots to represent data is a surefire way to make sure you aren’t tricked by the data. These methods of organizing data can also help you see patterns more readily. In the sections that follow, you become skilled at dissecting and interpreting different types of data representations. Tables When you have gobs of data about a particular subject, you can sort, analyze, and display your data in a table. Tables only work if you have at least two sets of data to be organized into columns and rows. When working with tables, make sure to pay attention to the title of the table; it helps you understand what data to analyze. Next, notice the column and row titles. In the following table, the data for the types of flowers and the number of each type of plant in Mary’s flower bed are listed. Make sure to read your question carefully and dissect the data accordingly. Which ratio compares the number of rose plants to the number of daffodil plants? A. 3:2 B. 2:3 C. 4:3 D. 5:6 E. 3:4 The correct answer is Choice (B). The ratio of roses to daffodils is 8:12; when factored, the ratio is 2:3. The Praxis Core exam will expect answers in the simplest form. Bar graphs and line graphs A bar graph uses the length of vertical or horizontal bars to represent numbers and compare data. Bar graphs are good to use when your data is in categories. Bar graphs must contain a title, axis labels for the horizontal and vertical axis, scales, and bars that represent numbers. The following bar graph shows the number of canned goods collected by homerooms at Cardozo Middle School. Mr. Smith’s homeroom collected more cans than how many other homerooms? A. 3 B. 4 C. 5 D. 6 E. 7 The correct answer is Choice (A). Use the graph to compare the number of cans collected by each homeroom. According to the lengths of the vertical bars, Mr. Smith’s homeroom collected more cans than Mr. Lewis, Mr. Davis, and Mrs. Reed’s classes. Line graphs are graphs that show data that is connected in some way over a period of time. Suppose you’re preparing for a statistics test and each day you take a short online quiz to see how you’re progressing. These are the results: Day 1 30 percent Day 2 20 percent Day 3 50 percent Day 4 60 percent Day 5 80 percent After you’ve created a table from your results, display them in a line graph. You can then decide, based on your progress on the practice quizzes, how likely you are to pass your statistics test. What trends do you see in the following graph? The graph indicates that as the days of practicing the online quizzes increase, your score increases; so, you will, more than likely, pass your statistics test. Pie charts Are you ready for a slice of pie? Pie charts are also known as circle graphs. These graphs focus on a whole set of data that is divided into parts. Each category represented in a pie chart is represented by a part, called a sector, of the interior of the circle. The portion of the circle interior a category’s sector takes up is part of what represents the portion of the whole (population, number of items sold, and so on) the category makes up. For example, if a pie chart represents categories of county government spending and 10 percent of the county government spending goes to road maintenance, the category of road maintenance would be labeled in a sector that takes up 10 percent of the interior of the circle. The sector would also have “10%” presented in it, and the sector would be labeled with “Road Maintenance.” Move the decimal point two places to the right and add a percent symbol. Multiply the percent by 360 to get the number of degrees for that slice of your pie chart. Display all the slices together in the pie chart. The following table shows the conversion of raw data to information that can be used to create a pie chart. The resulting pie chart is shown in the example question. When reading a pie chart, the larger the value, the larger the piece of pie! Stem-and-leaf plots A stem-and-leaf plot blossoms into a useful graph when analyzed properly. You usually use this type of graph when you have large amounts of data to analyze. You can analyze data sets such as classroom test results or scores of the basketball team using a stem-and-leaf plot. Based on place value, each value in your data set is divided into a stem and leaf. What each stem and leaf plot represents is indicated by a Key. Draw a vertical line to separate the stem from the leaf. The leaf is always the last digit in the number. The stem represents all other digits to the left of the leaf. To divide 105 into stem-and-leaf format, you draw a line to separate the stem from the leaf, which indicates a stem of 10 and a leaf of 5. Say you have the following numbers: 50, 65, 65, 60, 50, 50, 55, 70, 55 The first step is to arrange your data in least-to-greatest order, as follows: 50, 50, 50, 55, 55, 60, 65, 65, 70 Now arrange these numbers vertically in a table: Math Test Results Stem Leaf 5 0 0 0 5 5 6 0 5 5 7 0 Key: 5|0 means 50 This arrangement allows you to quickly identify your stems. Your stems in the data set are 5, 6, and 7. You have five data values in the list in the 50s: 50, 50, 50, 55, and 55. The leaves that go along with the 5 stem are 0, 0, 0, 5, and 5. You have three data values in the 60s: 60, 65, and 65. The leaves that go with the 6 stem are 0, 5, and 5. Finally, you have one leaf with a data value of 0 to accompany the stem of 7. When using a stem-and-leaf plot, you can quickly identify the least and greatest values in the data set (50 and 70), calculate the range (), and calculate the median or middle number (55). The following data shows the number of people visiting a particular frozen yogurt shop per hour across a 12-hour day. Hourly customers: 4, 17, 22, 31, 39, 40, 25, 43, 35, 40, 38, 13. When this data is arranged in a stem-and-leaf plot, you get the following diagram. Use it to answer the questions that follow. Hourly Customers Stem Leaf 0 4 1 3 7 2 2 5 3 1 5 8 9 4 0 0 3 Key: 4|0 means 40 What was the largest number of people that entered the shop during an hour? The correct answer is 43. Based on the diagram, the highest stem is 4 and the highest leaf in that stem is 3. Box-and-whisker plots Box-and-whisker plots, also known as box plots, show different parts of a data set using a line of numbers that are in order from least to greatest. A box-and-whisker plot allows you to divide your data into four parts using quartiles. The median, or middle quartile, divides the data into a lower half and an upper half (for more on finding the median, see the later section “Measuring arithmetic mean, median, or mode”). The median of the lower half is the lower quartile. The median of the upper half is the upper quartile. Your data set will contain the following five parts: The least value: The smallest value in the data set. The lower quartile: The median of the lower half of the data set. The median: The median or middle quartile. This divides the data into a lower half and an upper half. The median is the number in the center. If two numbers are in the center, find the average of the two middle values. The upper quartile: The median of the upper half of the data set. The greatest value: The largest value in the data set. The following diagram shows how data is dissected using a box-and-whisker plot. To create a box-and-whisker plot, follow the diagram below. The diagram begins with the data set. The data set is then put in least-to-greatest order. Underline the least value and the greatest value in the data set. Then find the median of the entire data set. Remember, when calculating the median, if there are two values in the center of a data set, find their average. The median divides the data set into the lower set and higher set. You must then find the median of the lower set. That is the lower quartile, or Q1. You also must find the median of the upper set. That median is the upper quartile, or Q3. The median of the entire set of data is Q2. The word “quartile” can also be used to refer to a division of numbers marked off by Q1, Q2, Q3, or the highest number in the entire set. After dissecting the data into the five values, graph the five values on a number line. Draw a box from Q1 to Q3. Draw a vertical line inside the box at Q2. The lines connecting the least and greatest values to the box are called the whiskers. Use the following graph to answer the following questions. This box plot indicates the scores from yesterday’s math test. Approximately what percent of the students did not get above 65%? A. 25% B. 50% C. 65% D. 75% E. 85% The correct answer is Choice (A). The box-and-whisker plot indicates that the lowest score on the test was 60. The median of the lower quartile is 65, so about 25 percent of the students scored lower than 65. It could be exactly 25 percent, depending on the number of students. What is the median test score from yesterday’s math test? A. 25% B. 50% C. 65% D. 75% E. 85% The correct answer is Choice (D). The median of the box-and-whisker plot is indicated by a line drawn through the center of the box. The value graphed at this point is 75. Venn diagrams “Venn” you need to picture relationships between different groups of things, use a Venn diagram. A Venn diagram is an illustration where individual data sets are represented using basic geometry shapes such as ovals, circles, or other shapes. Simply draw and label two or more overlapping circles to represent the sets you’re comparing. The sets overlap in an area called the intersection. When an item is listed in both sets, it goes in the intersection. If an item doesn’t fit in either set, it falls outside the circles or other shapes. Use the following graph to answer the following questions. Football is the favorite sport of how many students in the Venn diagram? A. 2 B. 5 C. 23 D. 25 E. 48 The correct answer is Choice (C). In the Venn diagram, 23 students picked football as their favorite sport. This is the only portion of the diagram reserved for football only. Football and basketball are the favorite sports of how many students? A. 2 B. 5 C. 23 D. 25 E. 48 The correct answer is Choice (B). Five students in the Venn diagram picked football and basketball. This is the portion of the diagram that football and basketball have in common. How many students did not choose football or basketball? A. 2 B. 5 C. 23 D. 25 E. 48 The correct answer is Choice (A). There are two students who did not fall inside the Venn diagram’s circles; therefore, they chose neither football nor basketball. Scramble around scatter plots If you want to determine the strength of your relationship, use a scatter plot. Scatter plots are graphical representations of two variables determining whether a positive, a negative, or no correlation exists. A correlation is a relationship between two variables in which as one increases or decreases, the other one tends to increase or decrease. There is a correlation between time studying and test scores, for example. As time studying increases, test scores tend to increase. Data from two sets are plotted in scatter plots as ordered pairs (x, y). You can draw three conclusions from scatter plots: If the coordinates are close to forming a straight line that rises up from left to right, then a positive relationship or correlation exists. If the coordinates are close to forming a straight line (line of best fit) with one variable increasing as the other decreases, then a negative relationship or correlation exists. If the coordinates don’t come close to forming a line and are all over the place, then no relationship or correlation exists! Hence, the name scatter plot. Here are the three types of correlations: Make sure to give your plot a title and make sure to label your axes when you create a scatter plot. Correlation alone does not prove causation. If a variable tends to increase as another variable increases, for example, it does not mean that the tendency is caused by the other variable. The number of mud puddles tends to become greater when the occurrence of lightning rises. Does an increase in the occurrence of lightning cause the number of mud puddles to get higher? Do the additions of mud puddles cause more lightning? The correlation between the two does not prove that one causes the other, and in fact neither causes the other. An increase in rain causes both. Also, even when a change in one variable does cause a change in another, that alone does not prove which variable change is causing which. Studies have shown that changes in the closeness of the moon cause shifting of the tides, but the correlation by itself is not the proof. If correlation worked that way, we could just as easily conclude that the shifting of the tides causes major changes in the closeness of the moon. Loiter around line plots If you want to see your mode (the value that occurs the most) pop up quickly, use a line plot. A line plot, also known as a dot plot, allows you to identify the range, mode, and outliers in your data set. Follow these simple steps: Put your data in order from least to greatest. Arrange your data on a number line. Mark each value in the data set with an x or a dot. Using the following line plot, determine the mode of the data set. A. 50 B. 60 C. 70 D. 80 E. 90 The correct answer is Choice (E). The score of 90 appears in the data set the most.

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Praxis How to Narrow Down Answer Choices on the Praxis Math Test

Article / Updated 02-24-2020

You improve your chances of choosing the right answer on the Praxis math test — and choosing it quickly — by eliminating choices that you know are wrong. This narrows the set of choices to consider and helps lead you to the right answer. Not only does this increase the probability of getting the right answer, but another advantage is that it helps lead you to better considerations. How to eliminate obviously wrong answer choices If a choice is so outrageous that it couldn’t possibly be the correct answer, you should eliminate it from consideration. For example, the length of a rectangle can never be greater than the rectangle’s perimeter. A person’s age years ago can’t be greater than his or her current age. The mean of a set of data can never be greater than the highest number. These are just some examples of impossibilities you can readily notice. If 3j = 90, what is the value of j? A. 270 B. 30 C. 60 D. 120 E. 3 The correct answer is Choice (B). You can find the answer by solving the equation. To help ensure you get the correct answer, you can eliminate Choices (A) and (D) because both of those choices are greater than 90. You have to multiply 3 by a positive number to get 90, and no positive number is greater than 3 times itself. Eliminating those choices leaves you with three choices to consider instead of five. Choices (C) and (E) are randomly incorrect. The radius of the preceding circle is 12 meters. What is the circumference of the circle? A. 24π meters B. 12π meters C. 12 meters D. 144π meters E. 6π meters The correct answer is Choice (A). The formula for the circumference of a circle is C = 2πr. Substituting 12 m for r, you get 2π(12 m) = 24π m. You can eliminate Choice (C) right away because neither π nor a decimal number, which would result from multiplying 12 by a decimal approximation of π, is in the answer. Another reason Choice (C) can be eliminated is because the radius of a circle can’t possibly equal the circle’s circumference. Multiplying by 2π can never be the same as multiplying by 1; 2π is not equal to 1, and it never will be, as far as we know. Choice (B) can be eliminated because multiplying by π is not the same as multiplying by 2π. You can also eliminate Choice (E) because the number that precedes π in a representation of a circumference can’t be less than its radius unless different units are used. Multiplying a positive number by 2π has to result in an increase. The three eliminations leave you with Choices (A) and (D), and that puts you closer to the right answer. Choice (D) is incorrect because it is the area of the circle, not the circumference, except with m instead of m2. If the unit were m2, you could eliminate it right away because circumference is not properly expressed in square units. Avoid the most common wrong answers Other choices to watch out for and be ready to eliminate are the ones that result from the most common calculation mistakes. Memorizing the rules for all the math topics you’ll face on the Praxis is important for avoiding these common mistakes. For geometry questions, some of the most common mistakes involve getting formulas confused, such as area and circumference. If you have a question about the area or circumference of a circle, you may have an answer choice that gives you the number involved in a measure about which you’re not being asked. Be ready to avoid such answers. Also remember the difference between the interior angle sums of triangles and quadrilaterals. Choices may be the result of using the wrong number. Confusion between supplementary and complementary angles is common, and so is confusion between formulas for surface area and volume. Forgetting the formulas for the volume of pyramids and cones also happens often. As for algebra and number and quantity questions, losing track of the fact that a number is negative is one of the most common mistakes. The distributive property is very frequently used improperly. Remember that the term right before the parentheses is supposed to be multiplied by every term in the parentheses, not just the first one. 5(x + 3) is equal to 5x + 15, not 5x + 3. The rules for switching between decimals and percents can be easily confused. Keep in mind that moving a decimal two places to the right is multiplying by 100 and moving the decimal two places to the left is dividing by 100. Dropping a percent symbol is multiplying by 100 because doing so undoes dividing by 100, and writing a percent symbol is dividing by 100 because a percent symbol means “hundredths,” or “divided by 100.” For statistics and probability questions, be careful about confusing mean, median, and mode. People often forget that the median of a set of data can be found only when the numbers are in order. When using scientific notation, be careful about the direction in which you move decimals. Numbers resulting from wrong decimal directions may be in the choices. Sample questions Which of the following has the same value as 35.937 percent? A. 3,593.7 B. 3.5937 C. 0.35937 D. 35,937 E. 0.035937 The correct answer is Choice (C). To convert a percent to a decimal number, drop the percent symbol, which can be % or the word “percent,” and move the decimal two places to the left. Choice (A) results from dropping the percent symbol and moving the decimal two places to the right. The other choices result from moving the decimal points something other than two places to the right or left. The main lesson here is that Choice (A) can be reached through a very common mistake in converting percents to decimals. You want to avoid such wrong choices. They’re lurking, so be ready. 45 17 90 28 17 What is the median of the preceding set of data? A. 28 B. 90 C. 17 D. 39.4 E. 45 The correct answer is Choice (A). When the numbers are in order, the middle number is 28. It is therefore the median. Interestingly, Choice (A) also happens to be the range of the set of data. Hopefully, you didn’t reach the correct answer because you mistook median for range. Sometimes mistakes lead to the right answers, but we don’t advise counting on that method. Choice (B) is the middle number in the set of data as it is presented, but not when the data is in order. Choice (C) is the mode and the lowest number. Choice (D) is the mean. Choice (E) is just one of the numbers in the set of data.

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Praxis Visual- and Quantitative-Information Questions on the Praxis Reading Test

Article / Updated 02-24-2020

The most unusual thing about the Praxis Core reading test (don’t worry — we said unusual, not difficult) is that it includes what are referred to as visual- and quantitative-information questions, which is the Praxis’s fancy term for questions about charts and graphs. Most reading and writing tests don’t do this. There aren’t a ton of visual- and quantitative-information questions on the Praxis exam. There may only be two or three. Depending on the exam you happen to take, you may see three questions all about the same graph, or you may see one or two questions each about a couple of different graphs. But every point helps, so this section tells you about these questions. Rethink charts and graphs If charts and graphs make you nervous because they seem more like math and science stuff than reading and writing stuff, the first step for you is to think about visual- and numeric-representation questions differently. The fact that visual- and quantitative-information questions are on the Praxis reading portion of the exam isn’t a mistake or the result of someone’s bizarre whim — it proves that, regardless of appearances, these questions really are reading-comprehension questions at heart. A graph — or any kind of picture — can be thought of as a visual depiction of information that could also be presented verbally. Just as you could either compose the sentence “A horse jumps over a fence” or you could draw a picture of a horse jumping over a fence to represent the same idea, a bar graph, line graph, pie chart, or any other type of chart or graph can be thought of as verbal information presented in pictorial form. So, relax. The visual- and quantitative-information questions are reading-comprehension questions. They’re just different. Graphs on the Reading Comprehension Test The most common type of a graph is a line graph. A line graph represents the relationship between two variables: an independent variable plotted along the x (horizontal) axis and a dependent variable (a variable that depends on the first one) plotted along the y (vertical) axis. The line running through the quadrant formed by their intersection is what you look at to figure out what value for one variable is paired with what value for the other. So, say you had a line graph that plotted the relationship between “hours spent studying” and “score on the Praxis reading test” (as though everyone who studied for the same amount of time got the exact same score, which would certainly be nice …). The “hours spent studying” would be plotted with hatch marks along the horizontal axis, and the various possible “scores on the Praxis reading test” would be plotted along the vertical axis, because this is the variable that depends on the other one. If you want to know the score someone who studied for, say, five hours, would get, you’d just proceed upward from the five-hour hatch mark on the bottom until you hit the line representing the actual data, then turn and go left until you hit the corresponding score on the side of the graph. Another type of graph commonly found in Praxis visual- and quantitative-information questions is a bar graph. Rather than depicting the relationship between an independent and a dependent variable like a line graph does, a bar graph represents how different categories stack up against each other with respect to some particular idea. For example, you might use a bar graph to compare the number of World Series won by various baseball teams. The names of all the teams would be plotted along the horizontal with a bar above each name, and the heights of the bars would indicate the number of World Series each team had won, with the vertical axis of the graph hatch-marked to indicate how many championships were represented by a given bar height. The bar representing the New York Yankees would be very high (some might say unfairly high); the bars representing the St. Louis Cardinals, Oakland Athletics, and Boston Red Sox would be lower, but still respectably high; and the San Diego Padres and Texas Rangers wouldn’t have bars over their names at all (at least not as of this writing, since neither team has yet won a World Series). You could also plot that same information with another common type of graph called a pie chart. The difference between a pie chart and a bar graph is that a pie chart represents percentages of a total, so it looks like a circle with different-sized triangle-like pieces marked off inside it (hence its name). On a World Series pie chart, the Yankees’ slice of the pie would be nearly one-fourth of the whole pie, as there have been 115 World Series and the Yankees have won 27 of them. The Cardinals’ slice would be about one-tenth of the pie (11 World Series victories out of 115). Because a pie graph represents percentages of a total, the teams that have never won a World Series wouldn’t appear on the pie at all. But really, there’s no sense in trying to memorize every type of chart or graph in the world. There are far too many ways to represent data visually for it to be in your interest to try and guess which types of charts or graphs will make an appearance when you take the exam. The best approach is to identify key words from the question, connect them to information represented in the graph, and then analyze the answer choices. Sample question Based on the preceding graph, the biggest drop-off in popularity between consecutively ranked pets is between A. the most popular pet and the second most popular pet. B. the second most popular pet and the third most popular pet. C. the third most popular pet and the fourth most popular pet. D. the fourth most popular pet and the fifth most popular pet. E. The drop-offs in popularity between the first and second most popular pets and between the third and fourth most popular pets were equally large. The correct answer is Choice (B). In order to answer this question correctly, you have to think about the pets in order of most popular to least popular — that is, rank them consecutively as the question states. The biggest drop-off in popularity between consecutively ranked pets by a fairly wide margin is between cats (the second-most-popular pet, chosen by 25 students) and fish (the third most popular pet, chosen by about 17 or 18 students), with a drop-off of 7 or 8 votes. Note that the bar graph doesn’t allow you to judge perfectly how many students voted for fish, but that doesn’t matter. Whether fish got 17 or 18 votes, the biggest drop-off in popularity is still between cats and fish. Choice (A) is wrong because cats only got two or three fewer votes than dogs, so this isn’t the biggest drop-off in popularity. Choice (C) is wrong because ferrets only got three or four fewer votes than fish, so this isn’t the biggest drop-off in popularity. Choice (D) is wrong because hamsters only got one or two fewer votes than ferrets, so this isn’t the biggest drop-off in popularity. Choice (E) is wrong because, although it is true that the gap between dogs and cats and the gap between fish and ferrets are equally large, neither of them is the largest drop-off in popularity. It doesn’t matter that they were equally large, because the question was asking for the largest drop-off! Be careful!

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Praxis Practice Math Questions for Praxis: Pyramids

Article / Updated 05-01-2017

The ancient pyramids have mystified people for thousands of years, just as pyramid questions on the Praxis Core exam have mystified ill-prepared test-takers. You can avoid this dreaded curse by remembering two simple formulas for the surface area and volume of a pyramid. The first practice question asks you to find a pyramid's surface area, while the second question drops a pyramid on top of a cube, and asks for their composite (combined) volume. Practice questions The following pyramid has a rectangular base. What is the surface area of the pyramid? A. 1,215 ft.2 B. 1,980 ft.2 C. 1,125 ft.2 D. 450 ft.2 E. 900 ft.2 Refer to the following figure for the next question. The composite figure is formed by a square pyramid on top of a cube. The pyramid and cube share a base. The height of the pyramid is 9 miles, and the height of the cube is 9 miles. What is the volume of the composite figure? A. 729 cubic miles B. 972 cubic miles C. 81 cubic miles D. 648 cubic miles E. 1,458 cubic miles Answers and explanations The correct answer is Choice (A). The surface area of a pyramid is its lateral area plus its base area, or The base perimeter of the pyramid here is the sum of its side measures, so it's 90 ft. The slant height is given as 17 ft. The base area is the product of the length and width of the base, so it's 450 ft.2. With those measures, you can determine the surface area of the pyramid." The surface area of the pyramid is 1,215 ft.2. The correct answer is Choice (B). The volume of the composite figure is the sum of the volume of the cube and the volume of the pyramid. Find each separately and then add the volumes. The volume of the cube is the cube of its side measure: The volume of the cube is 729 cubic miles. The volume of the pyramid is a third of its base area times its height. Its base is a square, so you can square its side measure to find the base area: 92 = 81 The base area of the pyramid is 81 square miles. With that and the height of the pyramid, you can find the pyramid's volume: Notice that the volume of the pyramid is 1/3 times the volume of the cube. That's because they have the same base area and height. The sum of the volume of the cube and the volume of the pyramid is the sum of 729 cubic miles and 243 cubic miles: 729 + 243 = 972 The volume of the composite figure is 972 cubic miles.

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Praxis Practice Math Questions for Praxis: Cones

Article / Updated 05-01-2017

The best cones are those filled with chocolate ice cream. The second-best—well, a distant second—are the ones you'll find on the Praxis Core exam. As you'll see in the following practice questions, you may be asked to calculate a cone's surface area (in this case, based on its lateral area and base area) or its volume (in this case, given its radius and slant height). Practice questions A cone has a lateral area of and a base area of . How many square centimeters is the surface area of the cone? Refer to the following figure for the next question. What is the volume of the cone? Answers and explanations The correct answer is Choice (E). The surface area of a cone is the sum of its lateral area (L) and base area. A cone has only one base, so you add B to the lateral area instead of 2B. The surface area of the cone is The correct answer is Choice (B). The volume of a cone is a third of the product of its base and its height. The height of this cone isn't given, but you can use the Pythagorean theorem to find it. The height, a radius, and the slant height form a right triangle in which the height and the radius are perpendicular and the slant height is the hypotenuse. The height of the cone is 24 m. That times a third of the base area is the volume of the cone: The volume of the cone is

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