AR tests your ability to solve word problems using basic math. It directly affects your AFQT and GT scores — two of the most important numbers for enlistment.
30
Questions
39 min
Time
Yes
Affects AFQT?
Ability to solve mathematical word problems involving percentages, ratios, distance/rate/time, work problems, and basic algebra applied to everyday scenarios.
Distance / Rate / Time
Calculate speed, distance, or travel time
Percentage Problems
Discounts, tax, tips, interest, percent change
Ratio & Proportion
Mixing, scaling, and unit rate problems
Work Problems
Combined work rates, time to complete tasks
Geometry Word Problems
Area, perimeter, volume in context
Try these — tap any question to reveal the answer.
Q1A soldier runs 3 miles in 24 minutes. At this rate, how long will it take to run 5 miles?
A) 36 minutes
B) 40 minutes
C) 42 minutes
D) 45 minutes
Q2A jacket originally costs $80 and is on sale for 25% off. What is the sale price?
A) $55
B) $60
C) $65
D) $70
Q3If 3 workers can paint a building in 12 hours, how long would it take 4 workers?
A) 8 hours
B) 9 hours
C) 10 hours
D) 16 hours
Q4A recipe calls for 2 cups of flour for 24 cookies. How much flour is needed for 36 cookies?
A) 2.5 cups
B) 3 cups
C) 3.5 cups
D) 4 cups
Q5A car travels 210 miles on 7 gallons of gas. How far can it go on 12 gallons?
A) 300 miles
B) 340 miles
C) 360 miles
D) 400 miles
Your AR score feeds into these composite scores, which determine job eligibility:
Take a free practice test covering Arithmetic Reasoning — see where you stand in 15 minutes.
Free ASVAB Study Cheat Sheet
Key formulas, line score composites, and score benchmarks in one printable PDF.