Part of getting a high score on the AFQT involves brushing up on your math skills. You need to memorize key formulas and use proven testtaking strategies to maximize your chances for a high math score. The other part is making sure you have a firm grasp on English; in order to ace the language parts of the AFQT, you need a solid vocabulary and good reading comprehension skills.
ASVAB AFQT qualifying scores
To enlist in the U.S. military, you have to take the Armed Services Vocational Aptitude Battery (ASVAB) exam, which consists of nine separately timed subtests. These subtests are used by the military to determine your aptitude to learn various military jobs.
Four of the ASVAB subtests are used to compute the Armed Forces AFQT score, a percentile score that runs from 1 to 99. This score determines whether you’re qualified to join the military service of your choice. Each branch of the military has its own minimum AFQT score standards:
 Army (including Army National Guard and Army Reserves): The Army requires a minimum AFQT score of 31 for those with a high school diploma and a score of 50 for those with a high school equivalency certificate. When the Army is experiencing high recruiting and reenlistment rates, it has been known to temporarily increase its qualifying AFQT score minimum to as high as 50.
 Air Force (including Air National Guard and Air Force Reserves): Air Force recruits must score at least a 36 on the AFQT to qualify for enlistment, but more than 70 percent of people who are accepted for an Air Force enlistment score 50 or above. For those who have a high school equivalency certificate instead of a high school diploma, the minimum score is 65.
 Navy: Navy recruits must score at least 35 on the AFQT to qualify for enlistment. If you have a high school equivalency certificate, the minimum score is 50.
 Navy Reserves: The Navy Reserves requires a minimum score of 31 on the AFQT for those with a high school diploma and 50 for those with a high school equivalency certificate. The Navy is the only branch for which the requirements for the Reserves are different from the requirements for the branch itself.
 Marine Corps (including Marine Corps Reserves): Marine Corps recruits must score at least 32. People who have a high school equivalency certificate must score a minimum of 50 on the AFQT to be considered. The Marine Corps limits GED enlistments to about 5 percent to 10 percent per year.
 Coast Guard (including Coast Guard Reserves): The Coast Guard requires a minimum of 40 points on the AFQT. A waiver is possible for applicants with prior service if their ASVAB line scores qualify them for a specific job and they’re willing to enlist in that job. The minimum AFQT score for people who have a high school equivalency certificate is 50.
Acing the math subtests
Two of the four subtests that make up your AFQT score are math tests. The first, Arithmetic Reasoning, tests your ability to use mathematics to solve various problems that you may encounter in real life — in other words, math word problems.
The second, Mathematics Knowledge, tests your ability to solve general math problems. Here are some tips to help maximize your ASVAB math subtest scores:

Memorize the math order of operations. Start by working everything in parentheses. Then move on to exponents. Then perform any multiplication and division. End with addition and subtraction. An easy way to remember this order is to think of the phrase, “Please Excuse My Dear Aunt Sally” (Parentheses, Exponents, Multiply, Divide, Add, Subtract). While this order is flexible in some situations, knowing the basic order will help you maximize your score.

Remember the applesandoranges rule. Be sure to convert units of measurement so that they’re consistent. If a question asks how many 3x6inch bricks it will take to cover a 6x6foot patio, be sure to recognize that inches and feet are two different measurements and perform the necessary conversions.

Memorize common math formulas before the day of the test. These formulas are not provided for you at the testing center. After you receive your scratch paper, take a moment before the test starts and write down all the formulas you’ve memorized. Here’s a list of some of the formulas you need to know:

Perimeter of a square: p = 4s, where s = one side of the square

Area of a square: a = s^{2}

Diagonal of a square:

Perimeter of a rectangle: p = 2l + 2w, where l = the length and w = the width of the rectangle

Area of a rectangle: a = lw

Diagonal of a rectangle:
, where d = the diagonal, l = the length, and w = the width of the rectangle. This formula is the Pythagorean theorem solved for the hypotenuse (c) — it just uses different letters. 
Perimeter of a triangle: p = s_{1} + s_{2} + s_{3}, where s = the length of each leg of the triangle

Area of a triangle:
, where b = the length of the triangle’s base (bottom) and h = the height of the triangle 
Pythagorean theorem: a^{2} + b^{2} = c^{2}, where c equals the length of a right triangle’s hypotenuse, and a and b equal the lengths of the remaining two legs of the right triangle

Radius of a circle:
, where d = the diameter of the circle 
Diameter of a circle: d = 2r

Circumference of a circle: c = 2Πr

Area of a circle: a = Πr^{2}

Volume of a cube: v = s^{3}, where s = the length of one side of the cube

Volume of a rectangular box: v = lwh, where l = the length, w = the width, and h = the height of the box

Volume of a cylinder: v = Πr^{2}h, where r = the radius of the cylinder and h = the height of the cylinder

Surface area of a cube: SA = 6s^{2}

Surface area of a rectangular box: SA =2lw + 2wh + 2lh


Use the scratch paper provided to help you solve problems. Draw a picture for math word problems to help you visualize the situation and pick out the relevant information. Remember: You can’t use a calculator on any of the AFQT subtests.

For difficult problems, try plugging the possible answer choices into the equation to see which one is right.

Find out how to separate information and pay attention only to what you need to solve the problem. Math word problems often provide extra information to confuse you.
ASVAB testtaking strategies
You have a 1in4 chance of getting the right answer on any given ASVAB question — but you can improve your odds (and your score) if you keep the following testtaking strategies in mind.
Assess each question quickly. The ASVAB is timed, so you can only spend a short while on each question. Assessing each question quickly to decide whether you know the answer (or you can figure it out) or whether you need to guess will help ensure that you make it through each subtest with time to spare. If a question is beyond your skill level, make an informed guess and move on.
Eliminate bad choices. If you don’t know the answer to a question but you’re sure one or two of them are wrong, focus on the remaining answers and try to determine which one is more reasonable. Ruling out obviously incorrect answers will help improve your odds of getting the right answer.
Answer every question. Most people take the computerized version of the ASVAB (CATASVAB), but a small number of people still take the paper and pencil (P&P) version of the test. Either way, strive to answer every question. You have a 100 percent chance of getting a question wrong if you don’t answer it, but at least a 25 percent chance of getting it right.
Pay special attention the questions that follow guesses. The CATASVAB adapts to your skill level. That means it first presents you with a question of medium difficulty; if you get it right, you see a harder question next. Get it wrong and the computer dishes up an easier one. A series of wrong answers can be really bad for your score, so if you’re taking the CATASVAB and need to guess on a question, pay extra attention to the one that follows it. Getting that question right will help the test evaluate your ability more accurately.
The CATASVAB adapts to your ability. Some people take the entire test without ever seeing a difficult question, while others find that most of their questions feature advanced concepts. Your mileage will vary based on your skills.