ASVAB Math Practice Test
Updated July 2026 · AFQT · 6 min read
ASVAB math is tested in two subtests: Arithmetic Reasoning (AR), which is word problems, and Mathematics Knowledge (MK), which is direct algebra and geometry questions. Both feed your AFQT enlistment score through the formula 2 × VE + AR + MK, and no calculator is allowed on either. Use the free practice quiz on this page to benchmark your MK, then drill AR word problems separately.
Mathematics Knowledge Practice Test
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ASVAB math lives in two subtests: Arithmetic Reasoning (AR), which tests math through word problems, and Mathematics Knowledge (MK), which tests algebra and geometry concepts directly. Both feed your AFQT enlistment score through the formula 2 × VE + AR + MK — meaning math supplies half the raw ingredients of the number that decides whether you can enlist. And on every version of the test, no calculator is allowed. The quiz above drills MK-style questions; use this page as your hub for both math subtests, then branch out to the dedicated practice tests and study guides.
The Two ASVAB Math Subtests
People say “the ASVAB math section,” but there isn’t one — there are two, and they reward different skills:
| Arithmetic Reasoning (AR) | Mathematics Knowledge (MK) | |
|---|---|---|
| Question style | Word problems — a scenario you translate into math | Direct questions — solve, simplify, compute |
| Core skill | Translation + arithmetic | Recall + technique |
| Feels like | ”A car travels 240 miles in 4 hours…" | "Solve for x: 3x − 7 = 14” |
| Fastest gain from | Practicing problem setups | Re-learning rules and formulas |
Both matter equally to your AFQT, but most people should start with MK. It rebuilds the fundamentals (fractions, equations, geometry rules) that AR word problems then apply. Take the Mathematics Knowledge practice test and the Arithmetic Reasoning practice test separately so you can see which half is costing you points.
What Arithmetic Reasoning Covers
AR is applied arithmetic. Expect word problems on:
- Rates and speed — distance, time, work rates, combined work
- Ratios and proportions — scaling recipes, maps, mixtures
- Percentages — discounts, tax, tips, percent change, simple interest
- Money problems — wages, budgets, unit prices
- Multi-step scenarios — problems that chain two or three operations
The hard part is rarely the arithmetic — it’s the translation. Every AR problem is a short story hiding an equation, and the skill you’re building is extracting it quickly. The Arithmetic Reasoning study guide walks through the setup patterns for each problem type.
What Mathematics Knowledge Covers
MK is high-school math tested directly, with no story wrapper:
- Algebra — solving equations and inequalities, exponents, factoring, evaluating expressions
- Fractions and decimals — operations, conversions, comparisons
- Geometry — angles, triangles, circles, perimeter, area, volume
- Number properties — primes, factors, multiples, order of operations
There’s no calculus and no trigonometry. MK is the most “studyable” subtest on the ASVAB: if you re-learn the rules and memorize the formulas, the questions are predictable. Work through the Mathematics Knowledge study guide topic by topic and keep the ASVAB math formulas sheet in rotation until every entry is automatic — area of a circle, Pythagorean theorem, distance = rate × time, and the percent-change formula come up constantly on both subtests.
How Both Feed Your AFQT — and Your Line Scores
The AFQT formula is 2 × VE + AR + MK. VE (verbal) is doubled, but AR and MK together make up half the raw formula, so a weak math day directly threatens your branch minimum. Math’s influence doesn’t stop there:
- GT (General Technical) includes AR — and GT 110 is the classic cutoff for many Army jobs and OCS (see GT score).
- ST, EL, MM, and CL composites across the branches all pull in AR, MK, or both.
That makes math the highest-leverage subject on the entire test: the same practice hours raise your enlistment score and your job-qualification scores at once. A recruit who lifts AR and MK by a few points each doesn’t just move one number — the gain ripples through the AFQT and every composite those subtests touch. To see how far your current numbers reach, check how ASVAB scoring works.
The No-Calculator Rule Changes How You Should Practice
Calculators are banned on every version of the ASVAB — CAT-ASVAB, paper, and PiCAT alike. You get scratch paper only (details in can you use a calculator on the ASVAB). This changes your prep in three concrete ways:
- Practice without one from day one. If you drill with a calculator and go cold on test day, your timing will collapse.
- Build estimation habits. Many wrong answer choices are far from the true value; a quick estimate can eliminate two or three options before you compute anything.
- Write clean setups. Under time pressure, arithmetic errors come from messy scratch work. Practice organizing every problem the same way: knowns, unknown, equation, solve.
A Two-Week ASVAB Math Plan
A simple structure that works:
- Days 1–2: Take the quiz above plus the AR practice test to benchmark both subtests. Log every miss by topic.
- Days 3–7: MK fundamentals — one topic per day from the study guide (fractions, equations, exponents, geometry, number properties), plus 10 formula flashcards daily.
- Days 8–12: AR translation practice — one word-problem type per day (rates, ratios, percents, money, multi-step), always timed, never with a calculator.
- Days 13–14: Mixed timed sets of both subtests; re-drill only your logged weak topics.
Review beats volume: five problems you dissect thoroughly teach more than twenty you rush. When both math subtests feel steady, fold them back into a full-length ASVAB practice test to check your pacing across the whole exam — because on test day, ASVAB math is where prepared test-takers pull ahead.
