ASVAB Arithmetic Reasoning (AR) Practice Test

1. There are 5 blue balls, 4 red balls, and 3 yellow balls in a box. If Sarah randomly selects a ball from the box, what is the probability of selecting a red or yellow ball?

2. Maria has spent $789.37 at the home improvement store. A storewide sale offers an 11% rebate on everything in the store. If she paid a 6% sales tax, how much rebate should she get?

3. At Sarah’s ice cream emporium, an ice cream cone costs $2.00 on weekends and $3.00 on weekdays. If you buy an ice cream cone every day except Thursday, how much would you spend on ice cream that week?

4. An orange farm is taking stock of its inventory for the season. Each year, about eighteen percent of the collected oranges must be thrown out because of rot. If the farm collects 12,000 oranges in a season, how many oranges survive for the farmer to sell?

5. Emily is training for her upcoming track meet. She makes 3 practice runs in a 1.5 hour time period. She runs 3/4 the distance of each of previous run. If she ran 5 miles on the first run, how far will she go on her third run?

6. Alex can run at a rate of 9.5 miles per hour. How long will it take Alex to run 23.75 miles?

7. Alex is 17 years older than Sam. Sam is 3 years younger than Jamie. If the sum of their ages is 77, how old is Sam?

8. Emma volunteers at her local animal shelter. She counts the cats and notices that there are a total of 37 cats. Of those, 24 are female. What percentage of the cats are male?

9. Maya has found a little red dress on sale for 50% off the original price of $239.99. She also has a coupon offering free shipping and an additional 10% off of her entire online purchase. If she buys the dress and a pair of shoes costing $34.70, how much will she pay for her ensemble?

10. Jimmy is ordering concrete for a construction project. The price of concrete is $0.02 per pound. Concrete is also taxed at a rate of $0.03 per pound. If Jimmy needs one ton of concrete, how much will he pay?

11. A phone company charges $2 for the first five minutes of a phone call and 30 cents per minute thereafter. If Olivia makes a phone call that lasts 25 minutes, what will be the total cost of the phone call?

12. A model boat travels at 20 cm per second. How many meters will the boat travel in 2 minutes?

13. The college has 700 students, and has issued student 388 parking permits. What is the percentage of students with parking permits?

14. If Emily left a $10.47 tip for a waiter on a breakfast that cost $87.25, what percentage was the tip?

15. Alice, Bob, Carol, and Dave are all going out to dinner using a $50 gift card from Dave’s mom. Alice’s sandwich is $10.67. Bob’s burger was $11.42, while Carol’s salad is $9.08. If the gift card is completely used, how much was Dave’s steak dinner?

16. Laura wants to purchase a pet from her local pet store. The pet store is offering 50% off rare exotic parrots. The original purchase price of a parrot is $956.50. Laura has a coupon for 10% off her entire purchase. How much will she pay if she also purchases a birdcage for $47.05?