Mathematics Knowledge Practice Test: What ASVAB MK Covers

Mathematics Knowledge (MK) is the most "school-like" section of the ASVAB. The official description is short: "knowledge of high school mathematics principles." No long stories, no reading traps — just the math, asked directly. That makes it the section where focused review pays off fastest. Here's how it works and what to study.

Why MK matters

MK is one of the four subtests that make up the AFQT, along with Arithmetic Reasoning, Word Knowledge and Paragraph Comprehension. Your AFQT decides whether you can enlist.

MK also feeds job scores. goarmy.com lists Mathematics Knowledge among the subjects that matter for five of the Army's ten line scores: Clerical, Electronics, Field Artillery, General Maintenance and Skilled Technical. (For what each line score means, see Army Line Scores Explained.)

How MK is timed

("Questions" are the ones that count toward your score, plus any tryouts. "Per question" is the time limit divided by the number of questions.)

MK is the fifth subtest, after General Science, Arithmetic Reasoning, Word Knowledge and Paragraph Comprehension. Most people take the computer version at a MEPS or testing site; the paper version is given at only a handful of sites.

Notice the difference from Arithmetic Reasoning: on the computer version, AR gives you 55 minutes for 15 questions; MK gives you 31. MK questions are shorter to read, and the time reflects it.

What MK covers

The official site doesn't publish a detailed topic list. "High school mathematics principles" in practice means algebra and geometry, plus the number skills underneath them. Our Mathematics Knowledge module, as one example of how the material breaks down, covers:

Algebra

• order of operations
• one-step and two-step equations, and variables on both sides
• equations with fractions
• exponents, square roots and cube roots
• polynomials, the distributive property and FOIL
• absolute value and scientific notation
• solving formulas for a variable, and f(x) notation

Geometry

• area and perimeter, including composite figures and shaded areas
• circles
• the Pythagorean theorem
• angles
• quadrilaterals, polygons and similarity
• volume and surface area, including cones, spheres and pyramids

Coordinate geometry

• the coordinate plane, slope and y = mx + b
• midpoint and distance

And the official rule applies here too: no calculator, on any version of the test.

A worked example (our own, not from the test)

Solve for x: 4(x − 2) = 2x + 6

1. Distribute the 4 to both terms inside the parentheses: 4x − 8 = 2x + 6
2. Move the x terms to one side: subtract 2x from both sides → 2x − 8 = 6
3. Move the numbers to the other side: add 8 → 2x = 14
4. Divide: x = 7

Check it: 4(7 − 2) = 4 × 5 = 20, and 2(7) + 6 = 20. Both sides match.

The classic mistake is in step 1: multiplying only the x by 4 and writing 4x − 2. That leads to 2x = 8 and x = 4 — and if you check it, 4(4 − 2) = 8 while 2(4) + 6 = 14. The sides don't match, which is exactly why checking takes ten seconds and saves a question.

How the computer version affects MK

The CAT-ASVAB adapts: everyone starts with a medium question; a right answer brings a harder one, a wrong answer an easier one. For MK, that means:

• You can't go back and change answers. Check each answer before moving on — like the substitution check above.
• Finish the section. If time runs out, the official site says unfinished questions are scored as though they were answered at random. Almost everyone finishes in time, but don't stall on one problem.
• When you don't know, eliminate and guess. The official preparation advice is to rule out as many incorrect choices as you can, then make an educated guess.

How to practice MK

1. Review by topic, then mix. Fix one topic at a time (say, distributing), then practice mixed sets the way the test presents them.
2. Always check by substituting. On equations, plug your answer back in. It catches most algebra slips.
3. Memorize the core formulas. Area of a circle, the Pythagorean theorem, volume of a cylinder and similar formulas aren't worth deriving under time pressure.
4. Do it without a calculator. Mental arithmetic and clean written work are part of the skill being tested.

Take an MK practice test

Our free practice test includes Mathematics Knowledge with the computer version's numbers — 15 questions in 31 minutes in the full version — alongside the other three AFQT sections, and ends with an AFQT estimate (a practice estimate, not an official score). The questions are written by us in the style of the test; they're not official ASVAB questions.

If word problems are your weaker side, read Arithmetic Reasoning Practice Test next.

Quick answers

How many questions are on ASVAB Mathematics Knowledge?

On the computer version, 15 questions count, with a 31-minute limit (65 minutes if tryout questions are added). On the paper version, 25 questions in 24 minutes.

What kind of math is on the ASVAB MK section?

The official description is "knowledge of high school mathematics principles" — in practice, algebra and geometry and the number skills behind them.

Is MK part of the AFQT?

Yes. It's one of the four subtests that make up the AFQT.

Is MK harder than Arithmetic Reasoning?

They test different skills. MK asks math questions directly; AR wraps arithmetic in word problems. MK's topics are well defined, which makes them easy to review one at a time.

Sources

• What to Expect When You Take the ASVAB — officialasvab.com
• The CAT-ASVAB — officialasvab.com
• Sample Questions — officialasvab.com
• Preparing for the ASVAB — officialasvab.com
• ASVAB — goarmy.com