ASVAB Mathematics Knowledge: format, topics and how to prepare
Last checked October 14, 2026 · Sources: Department of Defense What to Expect page, Fact Sheet and sample questions; Army and Air Force ASVAB pages
ASVAB Mathematics Knowledge (MK) tests your knowledge of high school math principles, such as algebra, geometry and number rules, without a calculator. It is one of the four subtests in your AFQT, so it affects whether you can enlist, and branches also use it in job scores for technical and clerical work.
What Mathematics Knowledge tests
The Department of Defense describes Mathematics Knowledge as knowledge of high school mathematics principles, in the Math domain. Where Arithmetic Reasoning wraps math in a word problem, MK usually asks about the math directly: solve this equation, find this area, simplify this expression. That makes it a test of whether you remember and can apply the rules, rather than whether you can decode a story.
On both versions it comes fifth, after General Science, Arithmetic Reasoning, Word Knowledge and Paragraph Comprehension. Our Arithmetic Reasoning guide covers its word-problem partner.
Format and timing
| Computer (CAT-ASVAB) | Paper (P&P-ASVAB) | |
|---|---|---|
| Scored questions | 15 | 25 |
| Time limit | 31 minutes (65 with tryouts) | 24 minutes |
| Average time per question | About 2.1 minutes | About 1 minute |
| Question difficulty | Adapts to your answers | Same questions for everyone |
| Go back and change answers | No | Yes, within this subtest |
Source: officialasvab.com What to Expect page and Fact Sheet, checked October 14, 2026. Minutes per question is our calculation.
Some prep books still show the computer version as 16 questions in 20 minutes. The Department of Defense’s current pages say 15 scored questions in 31 minutes, so you have more time per question than older guides suggest.
Where Mathematics Knowledge counts
MK is part of your AFQT, so it matters for every applicant. Branches also build it into job scores:
| Branch | Job scores that use Mathematics Knowledge |
|---|---|
| Army | Clerical, Electronics, Field Artillery, General Maintenance and Skilled Technical line scores |
| Air Force | Administrative and Electronics MAGE scores |
Sources: goarmy.com and airforce.com ASVAB pages, checked October 14, 2026.
Our Army and Air Force score guides show the full combinations.
Topics to review, with worked examples
These are our own practice problems, not real ASVAB questions. They cover the kinds of high school math principles MK draws on.
- Solving equations. Solve 3x + 7 = 22. Subtract 7 from both sides to get 3x = 15, then divide by 3: x = 5.
- Fractions. What is 3/4 + 1/6? Use a common denominator of 12: 9/12 + 2/12 = 11/12.
- Exponents. What is 2³ × 2²? Add the exponents when the bases match: 2⁵ = 32.
- Area. A triangle has a base of 10 and a height of 6. Its area is ½ × 10 × 6 = 30. A rectangle 8 by 5 has an area of 40.
- Angles. Two angles of a triangle are 50° and 60°. The third is 180 − 50 − 60 = 70°, because a triangle’s angles add up to 180°.
Beyond these, it is worth reviewing order of operations, negative numbers, square roots, ratios, the perimeter and area of common shapes, and the circumference and area of a circle.
How to prepare for Mathematics Knowledge
Try the Department of Defense's free Mathematics Knowledge sample questions to find your weak topics.
Write the rules you keep forgetting, such as exponent rules and area formulas, on one page and review it daily.
You can't use a calculator on the ASVAB, so do all practice by hand, including fractions and square roots.
After a set of questions, sort your misses by topic, then drill the weakest topic before moving on.
Before you work an answer out, check whether one choice is clearly the wrong size or sign. It is a quick way to catch errors.
A simple two-week plan
- Days 1 to 2: take the official sample questions untimed and list every topic you missed.
- Days 3 to 6: one topic a day from your list, such as equations, fractions, exponents or geometry, with 15 to 20 practice problems each.
- Days 7 to 10: mixed sets of 15 questions in 31 minutes, the computer version’s time limit, by hand.
- Days 11 to 14: go back over every miss, update your formula sheet, and repeat a timed mixed set every other day.
On the paper version, answer the questions you know first and fill in every blank if time runs out, since there is no guessing penalty. On the computer version, keep answering properly to the end, because random guesses near the end of a subtest are penalized. Our free ASVAB resources page lists other no-cost practice.
Mistakes that cost Mathematics Knowledge points
- Sign errors when moving terms across an equals sign.
- Adding fractions without a common denominator.
- Using the wrong area formula, such as forgetting the ½ for a triangle.
- Relying on a calculator in practice and slowing down badly on test day.
Common questions about ASVAB Mathematics Knowledge
How many questions are on ASVAB Mathematics Knowledge?
On the computer version, 15 scored questions in 31 minutes, or 65 minutes if tryout questions are added. On the paper version, 25 questions in 24 minutes.
Does Mathematics Knowledge count toward the AFQT?
Yes. It is one of the four AFQT subtests, along with Arithmetic Reasoning, Word Knowledge and Paragraph Comprehension.
Can I use a calculator on Mathematics Knowledge?
No. Calculators are not allowed on any part of the ASVAB.
What level of math is on the ASVAB?
The Department of Defense describes it as high school mathematics principles. Algebra, geometry and number rules are the core areas to review.
How is Mathematics Knowledge different from Arithmetic Reasoning?
Mathematics Knowledge tests math rules directly. Arithmetic Reasoning puts arithmetic inside word problems.
Back to the ASVAB overview or the ASVAB scores guide. MockTestPrep is independent and is not affiliated with the Department of Defense or any service branch.