ASVAB Practice Test Math

Free practice questions and a full study guide for the Mathematics Knowledge (MK) part of the ASVAB. Build the math skills you need. Then you can get the military job you want.

Free 10-question quiz20 min readPart of the AFQT
Start Math Practice Quiz
JT

Written by James Torres

Mathematics Education Specialist | 8+ Years Teaching Test Prep

MK · AFQT practice

Free Mathematics Knowledge Quiz

10 questions • free

Try 10 free Mathematics Knowledge questions. They cover number skills, algebra, exponents and geometry. One question has a picture you need to use.

Start the free quiz

No sign-up needed

Sample Mathematics Knowledge questions

Real questions from our free Mathematics Knowledge quiz. Each one shows the right answer and why.

Sample question 1

Find the perimeter of the figure shown.

Sample question 2

Combine like terms: 9m+4mn+7mn+3m9m + 4mn + 7mn + 3m

Sample question 3

The reciprocal of 17\displaystyle \frac{1}{7} is

Try all 10 questions in the free Mathematics Knowledge quiz

Learn it step by step with the math path

34 short lessons in 7 topics. Each one has key ideas, worked examples and practice questions.

  • Geometry · 7
  • Algebra · 5
  • Word Problems · 5
  • Decimals · 5
  • Percents · 4
  • Fractions · 3
  • Averages · 5
See the math path

1What Is the ASVAB Math Part?

The ASVAB has two math subtests: Arithmetic Reasoning (AR) and Mathematics Knowledge (MK). Both are big parts of your AFQT score.

The Two ASVAB Math Subtests

Mathematics Knowledge (MK)

  • • 16 questions on computer test (CAT-ASVAB)
  • • Tests math ideas and steps
  • • Covers algebra, shapes, and number facts

Arithmetic Reasoning (AR)

  • • 16 questions on computer test (CAT-ASVAB)
  • • Tests math through word problems
  • • Questions about real-life problems

Important: No Calculator Allowed

You cannot use a calculator on the ASVAB. You must do all math by hand or in your head.

2Why ASVAB Math Matters

Math makes up about half of your AFQT score. That score decides if you can join. Higher math scores also give you more job choices.

Lowest AFQT Score Each Branch Takes

Army
31
Navy
31
Air Force
36

3Topics on ASVAB Math

Main Topics

  • • Solving equations like 2x + 3 = 11
  • • Adding, subtracting, multiplying, and dividing fractions and decimals
  • • Percent problems
  • • Exponents (powers) and roots
  • • Finding area and perimeter
  • • Basic shapes (angles, triangles)
  • • Pythagorean theorem (a² + b² = c²)
  • • Ratios and proportions

4Study Tips That Work

Start with a Practice Test

Take a practice test first. It shows your weak spots. Then you know what to study.

Practice Without a Calculator

You cannot use a calculator on the test. So do every practice problem by hand.

Practice with a Timer

The ASVAB has a time limit. Try to solve each math problem in about 1-2 minutes.

5Key Math Rules to Learn by Heart

Geometry

Area of Rectangle = l × w

Area of Triangle = ½ × b × h

Area of Circle = πr²

a² + b² = c² (Pythagorean)

Algebra

Slope = (y₂ - y₁) / (x₂ - x₁)

y = mx + b (Slope-Intercept)

aᵐ × aⁿ = aᵐ⁺ⁿ

aᵐ ÷ aⁿ = aᵐ⁻ⁿ

Ready to start practicing?

Start with a free quiz. It has 10 questions. You see why each answer is right. When you want more, Pro opens all 52 tests, 5 timed practice exams and 34 math lessons.

Want everything? See Pro plans