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ASVAB Practice Questions

ASVAB Math Practice Questions

ASVAB Mathematics Knowledge & Arithmetic Reasoning — Free ASVAB math practice test with realistic Arithmetic Reasoning and Mathematics Knowledge questions. Every answer comes with a step-by-step explanation so you actually learn the concepts -- not just memorize patterns.

55
Total Questions
~55 minutes combined
Time Limit
Contributes to AFQT
Passing Score
Free
Registration Fee

Free Sample Questions

Here are 5 free sample questions from our full bank of 480+ ASVAB Math practice questions. Try them out below — click "Show Answer" to reveal the correct response and explanation.

1

A delivery driver travels 180 miles in 3 hours, then another 140 miles in 2 hours. What was the driver's average speed for the entire trip?

AA) 58 mph
BB) 62 mph
CC) 64 mph
DD) 70 mph
2

If 3x - 7 = 2x + 5, what is the value of x?

AA) 12
BB) -2
CC) 2
DD) 6
3

A rectangular room is 12 feet long and 9 feet wide. What is the length of the diagonal across the floor?

AA) 21 feet
BB) 18 feet
CC) 10.5 feet
DD) 15 feet
4

A jacket originally priced at $80 is on sale for 25% off. What is the sale price?

AA) $55
BB) $60
CC) $65
DD) $75
5

A recipe calls for flour and sugar in a ratio of 5 to 2. If you use 15 cups of flour, how many cups of sugar do you need?

AA) 6
BB) 7.5
CC) 3
DD) 10

Get the Full ASVAB Math Question Bank — 480+ Practice Questions

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About the ASVAB Math

Format & Structure

Total Questions
55
Time Limit
~55 minutes combined
Format
Multiple choice (CAT or paper)

Scoring & Cost

Passing Score
Contributes to AFQT
Registration Fee
Free

Related Practice Questions

ASVAB Practice Test

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Frequently Asked Questions

How is the ASVAB math section structured?

The ASVAB splits math into two separate subtests: Arithmetic Reasoning (AR) and Mathematics Knowledge (MK). AR focuses on word problems -- rates, ratios, percentages, and real-world scenarios. MK covers pure math concepts like algebra, geometry, exponents, and equations. Both contribute to your AFQT score, which is the main number recruiters care about.

Can I use a calculator on the ASVAB math sections?

No, calculators aren't allowed on any part of the ASVAB, including Arithmetic Reasoning and Mathematics Knowledge. You'll need to work everything out by hand or in your head. Scratch paper is provided at paper-based sites, and the CAT-ASVAB also gives you scratch paper. Practicing mental math and long division without a calculator is one of the best things you can do before test day.

What topics are covered on ASVAB math?

Arithmetic Reasoning covers word problems involving basic operations, fractions, decimals, percentages, ratios, proportions, rates, distance-time, and simple interest. Mathematics Knowledge covers algebra (solving equations, inequalities, factoring), geometry (area, perimeter, volume, angles, Pythagorean theorem), exponents and roots, and number properties. Both stick to high school level math -- no calculus or trigonometry.

How does ASVAB math affect my AFQT score?

The AFQT (Armed Forces Qualification Test) score is calculated from four ASVAB subtests: Arithmetic Reasoning, Mathematics Knowledge, Word Knowledge, and Paragraph Comprehension. Math counts for half of it. Your AFQT determines whether you qualify to enlist at all, and each branch sets its own minimum. The Army accepts as low as 31, while the Coast Guard typically wants 40+.

What's the difference between CAT-ASVAB and paper ASVAB timing?

The computer-adaptive version (CAT-ASVAB) gives you 16 Arithmetic Reasoning questions in 39 minutes and 16 Mathematics Knowledge questions in 20 minutes. The paper version gives you 30 AR questions in 36 minutes and 25 MK questions in 24 minutes. CAT questions adapt to your skill level, so getting questions right makes the next one harder. Most test-takers now take the CAT version at a MEPS.

How should I study for the ASVAB math sections?

Start with a diagnostic practice test to see where you stand. If arithmetic reasoning trips you up, drill word problems daily -- focus on translating English into equations. For mathematics knowledge, review algebra basics: solving for x, FOIL, factoring, and the Pythagorean theorem. Work without a calculator from day one. Flashcards for formulas (area, volume, slope) help a lot. Two to four weeks of focused prep usually moves scores meaningfully.

Can I retake the ASVAB if I bomb the math sections?

Yes. You can retake the ASVAB after 1 month for your first retake, another month after the second attempt, and then you must wait 6 months for any additional retakes. Your most recent score is the one that counts, so a retake can hurt if you do worse. Don't retake until you've actually improved on practice questions.

Is there a passing score for ASVAB math specifically?

There's no pass/fail for the math sections on their own. What matters is how AR and MK combine with the verbal sections to produce your AFQT percentile score. A higher math score pulls your AFQT up, which opens more job options and signing bonuses. Some technical military jobs (MOS/rating) also have minimum line scores that include AR and MK, so strong math performance matters for specific roles too.

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