Counts toward AFQT

ASVAB Mathematics Knowledge Practice Tests

Practice the algebra and geometry questions that make up one of the four AFQT subtests. Every test is free and includes an explanation for each answer.

Practice tests

Choose a practice test

1

Test 1

15 questions · Core math concepts for the ASVAB.

Start here
2

Test 2

15 questions · A refresher on high school math.

3

Test 3

15 questions · Applied arithmetic, algebra, and geometry.

4

Test 4

15 questions · Mixed math practice to boost your score.

5

Test 5

15 questions · Algebra, geometry and number properties.

6

Test 6

15 questions · Exam-style math practice for test day.

7

Test 7

15 questions · Algebra, geometry and number skills, with diagrams.

8

Test 8

15 questions · A final full-range math review before test day.

Topics

What Mathematics Knowledge covers

Mathematics Knowledge tests your understanding of high school math concepts. Unlike Arithmetic Reasoning, most questions are direct math problems rather than word problems.

Number properties
Fractions and decimals
Exponents and roots
Algebra
Geometry
Probability
Sample question

Try a sample question

If 3x + 5 = 20, what is the value of x?
A
3
B
5
C
15
D
25

Correct answer: B, 5

Subtract 5 from both sides to get 3x = 15, then divide both sides by 3: x = 5.

Study tips

Tips for this subtest

1

Memorize key formulas

Know area, perimeter, volume, and the Pythagorean theorem by heart.

2

Show your work

Writing each step on scratch paper prevents careless mistakes.

3

Plug answers back in

Check an answer by substituting it into the original problem.

Want to review first?

Review the formulas and concepts from high school math before you take a test.

Common questions

Mathematics Knowledge FAQs

Still unsure about this subtest? These are the questions we hear most.

How many questions are on the Mathematics Knowledge subtest?

It depends on the format. The paper-and-pencil ASVAB has 25 Mathematics Knowledge questions with 24 minutes to answer them. The computer version (CAT-ASVAB) asks fewer questions and adjusts their difficulty based on your answers.

Yes. A formula sheet is not provided, so know the common formulas for area, perimeter, volume, and right triangles before test day. Calculators are not allowed either.

Yes. Mathematics Knowledge is one of the four AFQT subtests, along with Arithmetic Reasoning, Word Knowledge, and Paragraph Comprehension.

Review algebra and geometry basics, memorize the key formulas, and practice without a calculator. Retake practice tests until you can solve each problem type confidently.

Flashcards

Study the Mathematics Knowledge flashcards

4 free decks with 80 cards. Flip the cards, play the matching game or print a deck as a PDF.

Ready?

Start Mathematics Knowledge Test 1