Free ASVAB Arithmetic Reasoning Practice Test
Practice the ASVAB (Armed Services Vocational Aptitude Battery) Arithmetic Reasoning section with 10 free questions, each with a clear explanation and a Scout tip. No sign-up needed. Arithmetic Reasoning is one of the 4 AFQT subtests, so it directly affects whether you can enlist.
What Arithmetic Reasoning Covers
Arithmetic Reasoning (AR) tests how well you solve math word problems. The math itself is usually simple; the challenge is reading the problem carefully and setting it up correctly. Common topics:
- Rates and speed: distance = rate × time.
- Percents: discounts, tax, percent increase and decrease.
- Ratios and proportions: recipes, maps, and scale.
- Averages: add the values, then divide by how many there are.
- Simple interest: interest = principal × rate × time.
- Work and time: how long jobs take when people work together.
10 Free Practice Questions
A car travels 150 miles in 3 hours. At the same speed, how far will it travel in 5 hours?
(The interactive quiz loads here: 10 questions, instant feedback, explanations.)
How to Score Higher on Arithmetic Reasoning
- Find the rate first. Many AR problems become easy once you know the "per one" amount.
- Underline what the question actually asks. Many wrong answers are the right number for the wrong question.
- Estimate before you calculate so you can rule out answers that are way off.
- No calculator. Practice doing the math by hand.
Keep Practicing
- Try another subject on the ASVAB practice test page.
- Estimate your score with the free AFQT practice test.
- Learn it step by step in the ASVAB Scout Study Guide.
ASVAB Scout is an independent study resource, not affiliated with or endorsed by the U.S. Department of Defense or any branch of the military. Requirements can change; confirm anything you're making a decision on with a recruiter or [officialasvab.com](https://www.officialasvab.com).