Praxis Core: 1,001 Practice Questions For Dummies
Overview
1,001 opportunities to hone your Praxis test-taking skills
So, you're an aspiring teacher with your sights set on educating students. Good for you! Teaching is a noble profession, and it's quite a competitive one too. Each year, over 600,000 prospective educators take the Praxis exams—but not all of them will come out of these standardized tests with their certifications in tow. If you're wondering how you can up the ante and ensure you gain the credentials to score that coveted spot at the front of the classroom, the answer is a practice question away!
1,001 Praxis Core Practice Questions For Dummies goes beyond the instruction offered in typical study guides, offering more than a thousand practice opportunities
for you to test and assess your understanding of what you can expect to encounter on the actual exam. Complemented with detailed, step-by-step solutions, each practice Praxis Core question gives you a leg up on the competition to earn your hard-earned position as the future's next great educator!
- Increase your chances of scoring higher on the Praxis Core exam
- Test your skills with practice problems for every question type
- Access practice problems online, from easy to hard
- Track your progress, pinpoint your strengths, and work through your weaknesses
Practice your way to Praxis test-taking perfection! Free one-year access to all 1,001 practice questions online.
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About The Author
Carla Kirkland, 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.
Chan Cleveland, executive vice president of the Kirkland Group, is an English educator who has developed language arts resources for multiple school districts.
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praxis core 1,001 practice questions for dummies
CHEAT SHEET
If you're taking the Praxis Core Academic Skills for Educators exam (referred to as Praxis or Praxis Core), that means you've chosen to shape the minds of future generations through education. Good for you. With a few tips and plenty of study and practice, you'll be on your way to scoring well on the exam.
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Praxis
If you're taking the Praxis Core Academic Skills for Educators exam (referred to as Praxis or Praxis Core), that means you've chosen to shape the minds of future generations through education. Good for you. With a few tips and plenty of study and practice, you'll be on your way to scoring well on the exam.
Praxis
Factoring multiple-term expressions is a pretty big part of algebra, so you should expect to find some questions on it in the Praxis Core exam.In the following practice questions, you go in one direction to find the full factorization of an expression, and then in the opposite direction to find the original expression, given the full factorization.
Praxis
When you take the Praxis Core exam, it pays to have a well-rounded knowledge of circles—especially their area and circumference. In the following practice questions, you work both backwards (finding a circle's radius given its circumference) and forward (finding a circle's area given its radius).
Practice questions
A circle has a circumference of 20π in.
Praxis
If you remember the properties of complementary and supplementary angles, this will definitely come in handy for the Praxis Core exam. If you don’t, check out the following tip and practice questions to refresh your memory.
When two adjacent angles add up to 90 degrees (forming a right angle), they are complementary.
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).
Praxis
Sometimes it's okay to be improper. Case in point: the Praxis Core exam, where you may be asked to convert fractions between their mixed, simple, and improper forms.In the following practice questions, you start with a simplified form of a fraction and have to find the original, and then you start with a mixed fraction and have to find the equivalent improper fraction.
Praxis
Fractions and decimals don't work well together. This means that if you run into any questions on the Praxis Core exam involving fractions and decimals, you'll probably have to start by doing some conversions.The first practice question starts off with a simple conversion of a fraction to a decimal, while the second question asks you to add a fraction to a decimal.
Praxis
When you confront a problem on the Praxis Core exam where you're converting a fraction to a percent (or vice versa), the important thing to remember is that "per cent" stands for "per 100."In the following practice questions, you start by converting a percentage to a fraction and then simplify the result, and then you have to convert a mixed fraction to a percent.
You can think of a cylinder as a circle with attitude. If you encounter a cylinder problem on the Praxis Core exam, you can knock it down to size if you remember a few simple formulas.In the first practice question, you apply the surface area formula to a right cylinder. In the second question, you need to use the volume formula—and a little subtraction—to get the right answer.
Praxis
Finding the prime factors of a number is a really useful skill to have—not lost-in-the-wilds or trapped-in-a-warehouse-full-of-ninjas useful, but certainly handy for the Praxis Core exam.To help you prepare, the following practice questions ask you to choose the number that is not a factor of another number, and then to find the greatest common factor of two numbers.
Praxis
On the Praxis Core exam, you may be asked to figure out what two expressions have in common—for example, their greatest common factor (or GCF).In the following practice questions, you first have to find the GCF of two terms, and then find one of the original terms, given the GCF and the other original term.
Practice questions
What is the greatest common factor of 35a4b7c12 and 20a8b3c10?
Praxis
Can you identify a function? If yes, then you'll have no problem with function-related questions on the Praxis Core exam. If no, then you may want to brush up on your function-spotting skills, starting with the following practice questions.
Practice questions
Is the relation {(2, 5), (3, 7), (4, 1), (8, 1)} a function?
Praxis
Interior angle problems on the Praxis Core exam are pretty straightforward—well, most of the time. As you’ll see in the following practice questions, it’s also useful to have a good overall knowledge of angles for the exam.
The formula for the sum of interior angles for a polygon is
where s is the number of sides of the polygon.
Praxis
Like some math classes, a ray starts at a certain point and goes on forever. Like the Praxis Core exam, a line segment starts at a certain point, and ends at another point—of course, in the case of the exam, these points never seem to be far enough apart for some students!To help you on test day, the following practice questions offer a sample of the types of line- and ray-related questions you'll run into.
Praxis
The Praxis Core exam will contain some questions where you have to convert measurements to different units. Of course, as you'll see in the following practice questions, you'll probably have to do some extra work to find the right answer.The first question requires you to do some metric conversion before you figure out how much of a chemical remains in a drum, while the second one asks you to convert units and then do some simple multiplication.
Praxis
Dividing fractions is just like multiplying them, except with division, you start by standing one of the fractions on its head. The Praxis Core exam will probably ask some questions where you have to multiply and divide fractions, so be ready for both.In the following practice questions, you have to solve word problems where you find the product of three fractions, and then divide two negative mixed fractions.
Praxis
Number line questions on the Praxis Core exam are usually pretty straightforward—they generally involve finding a missing number based on sequences or distances between points on the line.The first practice question is a simple problem (finding a labeled coordinate on a number line based on the surrounding numbers).
Praxis
Although number order questions on the Praxis Core exam may look a little intimidating, they look a lot simpler once you've converted all the numbers to decimal form.The following practice questions ask you to put a group of numbers in order, but in both cases, you have to pay close attention to the question or you'll get it wrong!
Praxis
Acronyms are wonderful things—especially when it comes to remembering order of operations. In fact, the acronym GEMDAS will definitely serve you well when you take the Praxis Core exam.
GEMDAS (Grouping, Exponents, Multiplication, Division, Addition, and Subtraction) is equivalent to PEMDAS. The only difference is that P stands for parentheses instead of grouping.
Praxis
When you encounter a percentage problem on the Praxis Core exam, it will often be in the form of a word problem. This means you'll have to pay close attention to what you're being asked to find.In the first practice question, you're asked to convert percentages of campers to their actual numbers, and then do some extra math to solve the problem; in the second question, you're asked to find the percent increase of a bank account.
Prisms weren't invented just to divide light into beautiful rainbows; they're also useful for inducing painful headaches when you're asked to find their surface area or volume on the Praxis Core exam.Swallow a headache tablet and try the following practice questions. In the first one, you have to find the surface area of a right rectangular prism.
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.
Praxis
If you encounter a right triangle question on the Praxis Core exam, you can use good old Pythagoras' theorem to work out the answer. In some cases, you'll be able to skip the calculations and solve the problem using the properties of common right triangles!Both of the following practice questions can be worked out using the Pythagorean theorem—but if you know your common right triangles, you'll be done before you can say "Eureka!
Praxis
Rate problems on the Praxis Core exam will often appear as word problems, so you'll have to read them carefully to make sure you know what you're being asked to find.In the following practice questions, you're first given two moving trains and you have to calculate the time required for them to travel a given distance; then you're given a runner's distance traveled in a given amount of time, and you have to find his average speed—after doing some distance and time conversions.
Ratios are often used to compare numbers—sports scores, for example—so don't be surprised if you encounter a ratio problem on the Praxis Core exam.In the following practice questions, you start by finding the ratio of a golfer's score from one day to another; then you need to find the ratio of football players enrolled in two different classes.
If you run across a question on the Praxis Core exam where you have to solve an arithmetic or geometric sequence, just remember: it's all about finding regular patterns—and sometimes working backwards.In the following practice questions, you start by finding a given term in a sequence (easy: just look for the difference between each given term); then you get a word problem where you have to solve a geometric sequence (almost as easy: just plug in the answers!
Praxis
Even when two shapes look identical, they may not be. For example, on the Praxis Core exam, you may encounter a question where two shapes look the same, but you're told they are "similar." What does this mean? What if they're labeled "congruent"?If you're not sure, the following practice questions (and their explanations) should refresh your memory.
Praxis
Some algebraic expressions on the Praxis Core exam may look intimidating, and you may even want to give up on them and move on. As you'll see in the following practice questions, though, you can use some simple techniques—like factoring and combining like terms—to solve them.
Practice questions
Which of the following is the simplified form of the expression 8x2y – 5xy2 + 12xy2 – 3x2y?
Praxis
When you're asked to solve a system of equations on the Praxis Core exam, start by checking the variables. If the variables in both equations have the same coefficients, then you can solve them using elimination.In the first practice question, you're given a pair of algebraic equations that you can solve with simple elimination.
Praxis
When you're asked to solve an algebraic problem—for example, a system of equations—on the Praxis Core exam, start by checking the variables. If you can easily isolate one of them, then you can probably use substitution.In the following practice questions, you start by performing a simple substitution within a rational algebraic expression; then, you go a little deeper by performing a more complex substitution to solve for two variables.
Praxis
Some questions on the Praxis Core exam may appear as verbal problems, where an algebraic problem is written using words instead of mathematical operators and symbols.The following practice questions require you to convert a verbal into an equation before you can solve the problem. The first question asks you to find the product of two consecutive even numbers.
Praxis
Some questions on the Praxis Core exam involve a simple plug-and-play approach, where you solve an expression by substituting given values for the variables. Sounds easy, right?Well, yes and no: as you'll see in the following practice questions, you still need to watch out for double negatives and you have to know your order of operations.
Praxis
If you enjoy solving functions (and why wouldn't you?), then you'll have a great time on the Praxis Core exam. The following practice questions will help you put the fun into "function" by asking you to first solve a simple function, and then to find the value of two functions combined!
Practice questions
If f(x) = x – 2, what is the value of f(3)?
Praxis
Problems involving inequalities on the Praxis Core exam will usually require you to do some math—but they may also involve recognizing the symbols on a number line.In the following practice questions, you start by solving an inequality, and then you need to match the inequality to its appropriate graph on a number line.
Praxis
Some problems on the Praxis Core exam will involve systems of equations. Although they look intimidating, they're actually pretty straightforward to solve if you take the right approach.In the first practice question, you're given two simple equations, and you have to find the solution to the system of equations using elimination.
Praxis
Despite their name, least common multiple (or LCM) problems are very likely to show up on the Praxis Core exam. In the following practice questions, you start with the LCM and have to find one of its factors; then, you have to do some (ugh) extra math to find the LCM.
Practice questions
Twenty-four is the least common multiple of 8 and which of the following numbers?
The Math questions on the Praxis Core exam may be multiple choice, fill-in, or select all that apply. You need to be prepared to answer questions in these subject areas:
Number and quantity, including topics such as basic operations, number form conversions, order of operations, number order, sequences, word
On the Praxis Core Writing test, your challenge is to find the error in the sentence — or the lack of one — or to choose the best version of a sentence or phrase. When you practice these types of questions, be prepared to
Identify how the eight parts of speech work together
Recognize whether phrases and clauses are used correctly
Choose the right words, including in idioms
Select the proper punctuation, particularly with commas, semicolons, and apostrophes
Choose appropriate transitions
Decide whether a sentence should be cut from a passage
You need to know your grammar and punctuation rules, so pay attention to these areas:
Matters of agreement: Agreement problems — whether they involve a subject and a verb, a noun and a noun, a noun and a pronoun, a pronoun and a pronoun, or different verb tenses — make up a large part of this section of the Praxis.
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