Arithmetic Reasoning Practice Test for the ASVAB
Arithmetic Reasoning Practice Test for the ASVAB – Part 1
1. If a car tire rotates at 552 times per minute, how many times does it rotate in half an hour?
Correct Answer: D) 16,560
Half an hour is 30 minutes. Multiply 552 rotations per minute by 30 minutes: 552 × 30 = 16,560.
2. One in every 9 people in a town votes for party A. In a town of 810 people, how many vote for party B?
Correct Answer: B) 720
One ninth of 810 is 90 who vote for party A. The rest vote for other parties: 810 − 90 = 720.
3. A motorcycle costs $7,250 and depreciates by 12% in one year. What is its value after one year?
Correct Answer: D) $6,380
12% of $7,250 is $870. Subtract that from the original price: 7,250 − 870 = 6,380.
4. A faucet delivers 20 gallons in 5 seconds. How many gallons in 7 seconds?
Correct Answer: C) 28
Flow rate is 20 ÷ 5 = 4 gallons per second. Multiply by 7 seconds: 4 × 7 = 28.
5. Jim selects a marble from 5 blue, 4 red, and 3 yellow marbles. What is the probability it is red or yellow?
Correct Answer: C) 7/12
Red or yellow marbles total 4 + 3 = 7. Total marbles is 12. So probability is 7/12.
6. A tip of $10.47 on an $87.25 breakfast is what percent?
Correct Answer: B) 12%
Divide tip by cost: 10.47 ÷ 87.25 ≈ 0.12, which is 12%.
7. A phone charges $2 for the first 5 minutes, then $0.30 per additional minute. How much is a 25-minute call?
Correct Answer: A) $8.00
First 5 minutes cost $2. Remaining 20 minutes cost 20 × 0.30 = $6. Total = 2 + 6 = $8.
8. On a map 10 inches equals 100 feet in real distance. What real distance does 25 inches represent?
Correct Answer: D) 250 ft
Scale is 100 ft ÷ 10 in = 10 ft per inch. So 25 in × 10 ft/in = 250 ft.
9. Five years ago Amy was three times Mike’s age. Mike is now 10. How old is Amy now?
Correct Answer: B) 20
Mike was 5 five years ago. Amy was 3 × 5 = 15 then. Add 5 years: 15 + 5 = 20 now.
10. Valentina bought 3 books at $2.65 each with a $20 bill. How much change did she get?
Correct Answer: A) $12.05
Cost 3 × 2.65 = $7.95. Change = 20 − 7.95 = 12.05.
11. Mia earns $8.10 per hour for 40 hours. Charlotte earns $10.80 per hour. How many hours must Charlotte work to earn the same amount Mia did?
Correct Answer: D) 30
Mia earns 8.10 × 40 = $324. Charlotte needs 324 ÷ 10.8 = 30 hours.
12. A half gallon of paint covers 55 sq ft. A room has two 10×10 walls and two 10×15 walls, height 10 ft. How many 1-gallon cans are needed?
Correct Answer: B) 5
Wall area = 2×(10×10) + 2×(10×15) = 200 + 300 = 500 sq ft. One gallon covers 110 sq ft. 500 ÷ 110 ≈ 4.55, so need 5 cans.
13. A box has 4 red and 8 green marbles. What is the probability of selecting a red marble?
Correct Answer: A) 1/3
Red marbles 4 out of total 4 + 8 = 12. Probability = 4/12 = 1/3.
14. A hat on sale costs $5.06. Original price $9.20. What is the discount percent?
Correct Answer: C) 45%
Discount = (9.20 − 5.06) ÷ 9.20 = 4.14 ÷ 9.20 = 0.45 or 45%.
15. Oven 1 burns three times as many pizzas as Oven 2. Total burnt pizzas = 12. How many by Oven 2?
Correct Answer: B) 3
Let Oven 2 make x pizzas, Oven 1 makes 3x. So x + 3x = 12. 4x = 12, x = 3.
16. Sofia drives 70 km/h for 2 hours and 63 km/h for 5 hours. What is her average speed over the 7 hours?
Correct Answer: B) 65 km/h
Distance = 70×2 + 63×5 = 140 + 315 = 455 km. Average speed = 455 ÷ 7 = 65 km/h.
17. A bucket needs 5 gallons of lemonade. It currently has 3.5 gallons. How many pints must be added?
Correct Answer: D) 12
Need 1.5 gallons more. 1 gallon = 8 pints, so 1.5 gal = 12 pints.
18. A car travels 360 km in 5 hours. At the same speed, how far will it travel in 9 hours?
Correct Answer: D) 648
Speed = 360 ÷ 5 = 72 km/h. Distance in 9 hours = 72 × 9 = 648 km.
19. A boat was bought for $18,340 and depreciated 15% in the first year. What is its value after that year?
Correct Answer: D) $15,589
Remaining value is 85% of 18,340. 0.85 × 18,340 = 15,589.
20. A radar beeps once per second. How many beeps occur in 3 days?
Correct Answer: D) 259,200
One day has 86,400 seconds. For 3 days multiply 86,400 × 3 = 259,200 beeps.
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