The Arithmetic Reasoning subtest on the ASVAB measures your ability to pull information from word problems and solve mathematical concepts in real-world situations. Like the Mathematics Knowledge subtest, it formulates a big part of your AFQT score, and it’s also used to help determine which jobs you’ll be most suited for when you’re in the military.    The Arithmetic Reasoning subtest requires you to read a word problem, figure out what mathematical concept it’s asking you to use, and arrive at the correct answer. It includes questions that involve fact-finding, algebra, and geometry. This... Show more

The Arithmetic Reasoning subtest on the ASVAB measures your ability to pull information from word problems and solve mathematical concepts in real-world situations. Like the Mathematics Knowledge subtest, it formulates a big part of your AFQT score, and it’s also used to help determine which jobs you’ll be most suited for when you’re in the military.   

The Arithmetic Reasoning subtest requires you to read a word problem, figure out what mathematical concept it’s asking you to use, and arrive at the correct answer. It includes questions that involve fact-finding, algebra, and geometry. This quiz covers algebra.

You have 39 minutes to work through 16 Arithmetic Reasoning questions on the computerized ASVAB or 36 minutes to complete 30 questions on the paper ASVAB. Calculators are not allowed.    

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ASVAB Arithmetic Reasoning Practice Test: Algebra

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25 Questions

1. Kathy took four geometry tests and scored 78, 83, 89, and 92. Her final exam is worth two test grades. What grade does Kathy need on the final exam to get an A (which is 90 or better) in geometry?

989997.595

2. Andrew and Kara charge Evan 20 percent of their total rent per month to live in their condo. Together, they pay a total of $1,875 in rent. Andrew and Kara pay equal amounts, so how much is Andrew paying?

$750$815$805$800

3. Pat has taken his grandson Gavin to an amusement park. When they get in line for the biggest roller coaster, there are 48 other people waiting. There are now eight fewer females than males in line, so how many females are there?

29302122

4. In history class, tests are worth 40 percent of the grade. Projects are worth 15 percent, homework is worth 25 percent, and quizzes are worth 20 percent. Jazmine and Jeneva are competing for the best final grade. Jazmine has scored:

3.53.24.13.8

5. Express as an equation: The product of two numbers is 75, and one of them is 15 more than the other.

Both A and B are correct

6. If Jakson can spend $5 on apples, how many apples can he buy when they

25151023

7. Bonnie and Kathleen went shopping. Kathleen spent half her money on a beekeeping suit, one-third of her money on a ukulele, and one-tenth of her money to take Bonnie to lunch. If Kathleen came home with $12, how much money did she have to begin with?

$175$182.50$180$177.50

8. Ron and Lillian worked for a month. Ron made three-quarters of what Lillian made, plus $164. How much did Ron make if, together, they made $4,600?

$2,065.15$2,650.15$2,100$1,965

9. Express as an equation: Ten is the product of four and an unknown number.

10. Express as an equation: Four times a number is six more than one-third of the number.

11. Jillian

$1,470$1,460$1,500$1,370

12. Express in an equation: The quotient of y and 5 is x.

Both A and C are correct.

13. A truck begins driving from a warehouse in Tampa and heads toward Jacksonville driving 40 miles per hour. Two hours later, a truck leaves the same warehouse with a delivery for Jacksonville but travels at 60 miles per hour. How long will the first truck have been on the road by the time the second truck overtakes it?

2 hours6 hours4 hoursThe second truck will never overtake the first.

14. Angela is 6 years older than Christina. Six years ago, Angela was twice Christina

Christina: 14; Angela: 21Christina: 18; Angela: 24Christina: 6; Angela: 12Christina: 12; Angela: 18

15. Robert is 9 years older than Sylvia is. In 7 years, the sum of their ages will equal 93. How old is Robert today?

40354416

16. How long will it take Toby to run 26.2 miles if he averages exactly 5 miles per hour?

5.18 hours5.24 hours6 hours4.94 hours

17. Charlie bought a 10-pound mixture of two candies for a total of $80. If one of the candies was salted caramel, which costs $5 per pound, and the other was chocolate, which costs $10 per pound, how much of the 10-pound mixture was chocolate?

6 pounds5 pounds5.5 pounds4 pounds

18. Private Joe Snuffy spent $42 on new combat boots. This was $14 less than twice what he spent on tan T-shirts for his uniform. How much were the tan T-shirts?

$38$56$28$27

19. A boat travels downstream for three hours with a current of 4 miles per hour. It returns the same distance, only against the curent, in four hours. How far did the boat travel one way?

28 miles96 miles89 miles92 miles

20. Jim and his girlfriend, Stacy, spent $400,000. If Jim spent $48,000 plus three times what Stacy spent, how much did he spend?

$312,000$315,000$310,000$88,000

21. A football team at its own 10-yard line loses 10 yards, and then it gains 15 more. What is the team

15 yards10 yards5 yards20 yards

22. Four consecutive numbers have a sum of 54. What is the greatest number in the sequence?

12131615

23. Divide $106 among Sadie, Chandler, and Faith so Sadie has $4 plus three times the amount Faith has and Chandler has twice as much as Faith does. How much does Sadie have?

$51$21$34$55

24. Dorothy needs to exercise her horses for 12 hours per week. She needs to groom the horses at least 10 more hours per week than she spends exercising them. What is the minimum number of hours Dorothy must spend grooming the horses each week?

22 hours10 hours23 hours18 hours

25. Steve and Stan made 14 pies. Fran made twice as many pies as Steve and Stan made. How many did Fran make?

28291427