ASVAB Arithmetic Reasoning: What It Tests and How to Beat It

Arithmetic Reasoning measures one thing: whether you can turn a word problem into arithmetic. The arithmetic itself rarely goes beyond what you learned by eighth grade. A question reads "a shop charges $65 for labor plus $18 per part", and the work is deciding what to do with those two numbers, in what order, before doing anything with them.

Strong computation alone does not carry this subtest. Translation is a separate skill from calculation, and unlike raw math ability it is trainable.

It is also worth more to you than almost any other subtest, for two reasons: it is one of the four that make up your AFQT, and it feeds both the General and Electrical Air Force line scores. Doing well here moves the number that decides whether you can enlist and the numbers that decide what you can do.

The short version:

• 15 questions, 55 minutes on the computer version. That is 3 minutes 40 seconds each - the most time per question on the whole ASVAB
• No calculator. Not on this subtest, not on any of them
• Counts toward your AFQT, plus the General and Electrical line scores
• The math is arithmetic, percentages, ratios and rates. Nothing more advanced
• Almost all lost points come from setting the problem up wrong, not from calculating wrong

What Arithmetic Reasoning actually tests

Every question is a short word problem, two or three sentences long, followed by four numeric choices. There is no algebra to recognize, no formula sheet to memorize, and no trick wording designed to mislead you. What there is, in every single question, is a decision: which operation the situation calls for, and in what order.

Compare the two math subtests directly, because people study them as if they were one thing:

If you can do the arithmetic but keep getting these wrong, you do not have a math problem. You have a reading problem, and the fix is different.

Where the score goes

Arithmetic Reasoning is unusual in how many places it lands:

Two composites and the AFQT out of one subtest. Mathematics Knowledge is the only other subtest that does that much work for you, which is why the two of them deserve most of your study time if you are short on it.

The question types, in rough order of how often they turn up

You will see the same handful of shapes over and over. Recognizing the shape is most of the work:

1. Unit rate and scaling. "If 15 items cost $52.50, what do 22 items cost?" Find the one-unit price, then scale. The most common shape on the subtest.
2. Percent change. "A price rises from $40 to $50. What is the percent increase?" The denominator is always the original value. This is the most commonly botched question type on the ASVAB.
3. Total cost with two rates. "$85 per hour for the first 10 hours and $110 per hour after that." Two multiplications and an addition, and a trap in the word after.
4. Averages. Straightforward, until the question gives you the average and asks for a missing value. Then it is: total equals average times count.
5. Work and rate. Two people, two speeds, one job. Add the rates, not the times.
6. Unit conversion. Cups to quarts, inches to feet, minutes to hours. Almost always a two-step conversion where the wrong answer is what you get by stopping after one.
7. Ratio and proportion. "3 parts to 5 parts" across a known total.
8. Simple interest and discounts. Percent off, then tax, in that order.

The five places people lose points

Every one of these is a setup error, not an arithmetic error. Fix the setup and the arithmetic usually takes care of itself.

Using the wrong denominator on a percent question. A price going from $40 to $50 is a 25 percent increase, because the change of $10 is measured against the $40 you started from. Measured against $50 it looks like 20 percent, and 20 will be one of your four choices. It is there on purpose.

Stopping one step early. How many cups are in 3 quarts? A quart is 2 pints, a pint is 2 cups, so a quart is 4 cups and 3 quarts is 12. The answer 6 is what you get if you convert quarts to pints and then forget why you did it. 6 will be one of the choices. The distractors on this subtest are built from the specific mistakes people make, which means a "clean" looking answer is not evidence you are right.

Answering a different question than the one asked. The problem gives you a $900 budget and three expenses and asks how much is left. Adding the three expenses correctly and then recording that total as the answer is a common way to lose the point. Read the last sentence again before you choose.

Rounding early. If a division gives you 3.333, carry it. Rounding to 3.3 and then multiplying by 22 can land you closer to a wrong choice than the right one.

Rushing a subtest that looks easy. This subtest gives more time per question than any other, and it is still the one most commonly hurried, because the arithmetic looks trivial. The arithmetic is trivial. The setup is not.

How to work one under time pressure

Three minutes forty is a lot. Spend it like this:

1. Read the whole thing before touching a number. Not half. The last sentence usually contains the actual question, and it often changes what matters in the first sentence.
2. State what is being asked, in your own words. "They want the price for 22." In plain language, before any calculation. This single habit prevents the two most common errors above.
3. Write the setup, not the answer. 52.50 / 15 = per item, then x 22. Committing the structure to paper before you start arithmetic is what stops you drifting into the wrong operation.
4. Estimate first. Roughly $3.50 each, times roughly 20, is roughly $70. Now any choice far from $70 is gone, and an arithmetic slip cannot survive contact with your own estimate.
5. Calculate, then re-read the question. The re-read takes four seconds and catches the "answered the wrong question" error entirely.

Note what is missing: there is no step where you check your arithmetic twice. Estimating first does that job better and faster.

What to study, in order

If you have limited time, this is the order that buys the most points:

1. Percent change, both directions. Increase, decrease, percent off, percent of. Drill until the denominator question answers itself.
2. Unit rate. Given a total for many, find the one. Then scale. It underlies half the subtest.
3. Multi-step unit conversion. Especially the customary units: cups, pints, quarts, gallons, inches, feet, yards, ounces, pounds.
4. Mental arithmetic without a calculator. Multiplying two-digit numbers, dividing money, working with 10 and 25 percent as shortcuts. This is the only part that is pure practice.
5. Averages with a missing value.

You do not need to study algebra for this subtest. Save that for Mathematics Knowledge.

Question counts and timing, both versions

Nearly everyone now takes the computer-adaptive test at a MEPS. The paper version still exists at some Mobile Examining Team sites and at high schools:

The computer version adapts: answer correctly and the next question gets harder. You cannot skip a question or return to it, which is another reason to read properly the first time rather than planning to come back.

What counts as a good score

Arithmetic Reasoning is reported as a standard score, where 50 is average and about two thirds of test takers fall between 40 and 60. What matters more than the number in isolation is what it does to your composites. The Air Force sets minimum General and Electrical line scores by career field, and those minimums run from the high 30s to the mid 60s depending on the job.

The table further down this page lists every enlisted career field with a General or Electrical minimum, with the number each one demands. If there is a specific job you want, that is your target - not a generic "good score".