Mathematics Knowledge tests school mathematics directly: algebra, geometry, number properties and exponents, mostly without a story wrapped around them. It is the most straightforwardly studiable subtest on the ASVAB, because the content is a finite, well-defined syllabus.
Test Ninjas Research · Updated September 11, 2026
Mathematics Knowledge — at a glance
Attribute
Value
Computer version (CAT-ASVAB)
16 items · 20 minutes
Paper version (P&P-ASVAB)
25 items · 24 min
Domain
Math
Share of computer testing time
13% of 154 minutes
Share of computer items
11% of 145 items
Counts toward AFQT
Yes
Where it counts
Enters the AFQT directly, at single weight.
What it asks of you
Solving linear equations and inequalities
Factoring and expanding expressions
Exponents, roots and order of operations
Properties of numbers — factors, multiples, primes, integers
Area, perimeter, volume and surface area
Angles, triangles and the Pythagorean theorem
Coordinate geometry — slope, midpoint, distance
Reading and manipulating formulas
How to approach it
The one subtest where studying reliably moves the score
Most ASVAB subtests reward accumulated knowledge that is slow to change. Mathematics Knowledge is different: it is a defined body of school mathematics, and gaps in it can be closed in weeks. If your AFQT is short of the line you need, this is usually the fastest place to find points.
Know the formulas cold
No formula sheet is provided. Area, volume, the Pythagorean theorem, slope and the quadratic form all have to come from memory. This is pure recall and it is worth drilling to automaticity, because a formula you have to reconstruct costs time you would rather spend on the harder items.
It carries real weight in technical composites
Beyond the AFQT, Mathematics Knowledge appears in the Navy and Air Force electronics composites, the Army Skilled Technical and Surveillance and Communications line scores, and the Marine Corps Clerical and Electronics composites. Technical jobs are gated on it.
Mathematics Knowledge is one of the four subtests behind the AFQT. See what a change here does to your percentile with the AFQT score calculator.
West Point, the Naval Academy, the Air Force Academy and ROTC scholarships all take an SAT or ACT score, not the ASVAB. Our SAT course covers Reading & Writing and Math in full, with adaptive practice tests and instant scoring.
Roughly the content of a first algebra course plus basic geometry: linear equations, factoring, exponents and roots, number properties, area and volume, triangles and the Pythagorean theorem, and coordinate geometry. There is no trigonometry, no calculus and no statistics beyond simple averages.
No. Every formula has to be recalled from memory, which is why memorising the standard area, volume and coordinate-geometry formulas is one of the highest-return things you can do before test day.
Mathematics Knowledge asks about mathematical facts and procedures directly. Arithmetic Reasoning wraps ordinary arithmetic in a word problem and tests whether you can work out which calculation to perform. Both count once each in the AFQT.
Yes. It is one of the four subtests in the AFQT, the score that determines whether you can enlist at all. The other three are Arithmetic Reasoning, Word Knowledge and Paragraph Comprehension.