Arithmetic Reasoning is word problems — the maths is ordinary, the work is deciding what the question is asking. It carries more weight across the ASVAB than any other subtest: it enters the AFQT directly and appears in every Army line score and almost every composite the other services use.
Test Ninjas Research · Updated September 11, 2026
Arithmetic Reasoning — at a glance
Attribute
Value
Computer version (CAT-ASVAB)
16 items · 39 minutes
Paper version (P&P-ASVAB)
30 items · 36 min
Domain
Math
Share of computer testing time
25% 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
Translating a sentence into an arithmetic operation
Rates, distance and time
Ratio, proportion and scaling
Percentages, discounts, interest and percentage change
Averages, and working backwards from an average to a missing value
Work and production problems
Multi-step problems where the answer to one step feeds the next
Recognising which of several plausible operations the wording actually calls for
How to approach it
This is the section the test gives you time for
Arithmetic Reasoning gets 39 of the 154 minutes on the computer version — a quarter of the total testing time for about a ninth of the items. That is deliberate: these are multi-step problems and the time limit is not the constraint. Rushing here costs you far more than the minutes save you anywhere else.
Translate before you calculate
Most wrong answers on AR are arithmetic performed correctly on the wrong setup. Write the relationship down before touching the numbers. The distractors are built from the predictable mis-translations — answering the intermediate step instead of the question, or inverting a rate — so a plausible-looking answer is not evidence you set it up right.
It is worth more than its own score
AR is in the AFQT and in all nine weighted Army line scores, where it carries the largest or second-largest weight in most of them. If you have limited preparation time and want it to move the most doors, this is the subtest to spend it on.
Arithmetic Reasoning 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.
No. Calculators are not permitted on any version of the ASVAB, and scratch paper or a wet-erase board is provided instead. The arithmetic is kept simple enough to do by hand, which is part of why the problems are worded rather than computational.
Arithmetic Reasoning is word problems that test whether you can set up the right calculation. Mathematics Knowledge is direct questions about mathematical facts and procedures — algebra, geometry, exponents — with little or no story around them. Both enter the AFQT at single weight.
The AFQT is AR + MK + 2 × VE, where VE is the Verbal Expression composite. So Arithmetic Reasoning is one of four units in the total, meaning roughly a quarter of your AFQT comes from this subtest alone.
On the CAT-ASVAB taken at a Military Entrance Processing Station it is, like every other subtest — the difficulty of each item depends on how you answered the previous ones, and you cannot return to a question once you have moved on. On the paper version everyone taking a given form sees the same questions in the same order.