ASVAB Arithmetic Reasoning Practice Test is a free online practice test with 15 questions on speed and distance, discounts, ratios, averages, simple interest, percent, work rates, consecutive integers, money, fractions, scale, perimeter, wages and average speed. The questions are word problems on speed, discounts, ratios, averages, interest, percent, work rates, consecutive integers, money, fractions, scale and perimeter. This is independent practice and is not affiliated with the official exam provider. The test scores itself, and it shows the correct answer and an explanation for every question you miss.
Take it in test mode to see your score and answers at the end, or in practice mode to check each answer straight away. A printable version and an answer key are included, and the test takes about 28 minutes.
This test needs JavaScript. The questions and the answer key are also listed further down the page.
ASVAB Arithmetic Reasoning Practice Test
Name: ______________________ Date: ______________
A train travels at 60 miles per hour for 2.5 hours. How many miles does it go?
Answer: ______________
A shirt costs $40 and is 25% off. What does it cost now, in dollars?
Answer: ______________
Paint is mixed in the ratio 2 : 3 to make 35 litres. How many litres is the larger part?
Answer: ______________
Four tests average 80. What score on a fifth test makes the average 82?
Answer: ______________
What is the simple interest on $800 at 5% a year for 3 years, in dollars?
Answer: ______________
45 is what percent of 180? Enter the number only.
Answer: ______________
One pipe fills a tank in 6 hours and another fills it in 3 hours. How many hours do they take together?
Answer: ______________
Three consecutive integers add up to 72. What is the smallest?
Answer: ______________
Eight notebooks cost $2.75 each. What is the total cost in dollars?
Answer: ______________
What is 3/8 of 64?
Answer: ______________
On a map, 1 inch stands for 25 miles. How many miles do 3.5 inches stand for?
Answer: ______________
A rectangle is 18 ft long and 7 ft wide. What is its perimeter in feet?
Answer: ______________
A worker earns $12 an hour and works 38 hours. What is the pay in dollars?
Answer: ______________
Five pencils cost $0.40 each and 3 erasers cost $0.75 each. What is the total in dollars?
Answer: ______________
A car drives 120 miles at 40 mph and then 120 miles at 60 mph. What is its average speed in mph?
Answer: ______________
Answer key: ASVAB Arithmetic Reasoning Practice Test
- 150
- 30
- 21
- 90
- 120
- 25
- 2
- 23
- 22
- 24
- 87.5
- 50
- 456
- 4.25
- 48
What this test covers
- Speed and distance (1 question)
- Discounts (1 question)
- Ratios (1 question)
- Averages (1 question)
- Simple interest (1 question)
- Percent (1 question)
- Work rates (1 question)
- Consecutive integers (1 question)
- Money (2 questions)
- Fractions (1 question)
- Scale (1 question)
- Perimeter (1 question)
- Wages (1 question)
- Average speed (1 question)
How the test works
Test mode and practice mode
In test mode you answer every question first and see your score, the time you took and the answers at the end. In practice mode you press Check after each answer to see right away whether it is correct, with the explanation.
How answers are scored
For questions with a number as the answer, you can type a whole number, a decimal such as 2.5, or a fraction such as 3/4. A dollar or pound sign is ignored, and a fraction and its decimal value count as the same answer. Multiple choice questions have one correct choice.
Printing the test and the answer key
Use Print the test for a paper copy with a space for each answer, and Print the answer key for the matching answers. Both print without the rest of the page.
Questions and answer key
The questions
- A train travels at 60 miles per hour for 2.5 hours. How many miles does it go?
- A shirt costs $40 and is 25% off. What does it cost now, in dollars?
- Paint is mixed in the ratio 2 : 3 to make 35 litres. How many litres is the larger part?
- Four tests average 80. What score on a fifth test makes the average 82?
- What is the simple interest on $800 at 5% a year for 3 years, in dollars?
- 45 is what percent of 180? Enter the number only.
- One pipe fills a tank in 6 hours and another fills it in 3 hours. How many hours do they take together?
- Three consecutive integers add up to 72. What is the smallest?
- Eight notebooks cost $2.75 each. What is the total cost in dollars?
- What is 3/8 of 64?
- On a map, 1 inch stands for 25 miles. How many miles do 3.5 inches stand for?
- A rectangle is 18 ft long and 7 ft wide. What is its perimeter in feet?
- A worker earns $12 an hour and works 38 hours. What is the pay in dollars?
- Five pencils cost $0.40 each and 3 erasers cost $0.75 each. What is the total in dollars?
- A car drives 120 miles at 40 mph and then 120 miles at 60 mph. What is its average speed in mph?
Answers and explanations
| Question | Answer | Explanation |
|---|---|---|
| 1 | 150 | Distance = speed × time = 60 × 2.5 = 150. |
| 2 | 30 | 25% of 40 is 10, so the price is 40 − 10 = 30. |
| 3 | 21 | There are 5 parts. One part is 7 litres, so the larger part is 3 × 7 = 21. |
| 4 | 90 | The five tests need a total of 410. The first four total 320, so the fifth must be 90. |
| 5 | 120 | Each year earns $40. Over 3 years that is $120. |
| 6 | 25 | 45 ÷ 180 = 0.25, which is 25%. |
| 7 | 2 | Together they fill 1/6 + 1/3 = 1/2 of the tank each hour, so they take 2 hours. |
| 8 | 23 | The middle number is 72 ÷ 3 = 24, so the smallest is 23. |
| 9 | 22 | 8 × 2.75 = 22. |
| 10 | 24 | One eighth of 64 is 8, so three eighths is 24. |
| 11 | 87.5 | 3.5 × 25 = 87.5. |
| 12 | 50 | 2 × (18 + 7) = 50. |
| 13 | 456 | 12 × 38 = 456. |
| 14 | 4.25 | Pencils cost $2.00 and erasers cost $2.25, so the total is $4.25. |
| 15 | 48 | The trip takes 3 + 2 = 5 hours for 240 miles, so the average speed is 240 ÷ 5 = 48. |
Tips for ASVAB math
- Underline the question and the numbers in each word problem before you calculate.
- Draw a quick sketch or table for rate, work and mixture problems.
- Check that your answer has the right units and makes sense.
Frequently asked questions
How many questions are on this test?
There are 15 questions. Most students need about 28 minutes, but there is no time limit.
Can I print this test?
Yes. Use the Print the test button for the questions and Print the answer key for the answers. The full question list and answer key are also on this page.
Does the test show the answers?
Yes. At the end you see the correct answer and an explanation for every question, and in practice mode you see them after each question.
Do I need an account?
No. There is no sign-up. Your best score is kept only in your own browser.
What should I do if I miss questions?
Look at the skills table on your result page, read the explanations for the questions you missed, and take the test again. If a step in your working looks wrong, the answer checker on this site can help you find the slip.