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.
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
Show answer and explanation
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.
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.
Do I need to memorize math formulas?
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.
Does Mathematics Knowledge count toward my AFQT score?
Yes. Mathematics Knowledge is one of the four AFQT subtests, along with Arithmetic Reasoning, Word Knowledge, and Paragraph Comprehension.
What's the best way to improve my Mathematics Knowledge score?
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.