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# Arithmetic Reasoning Overview for ASVAB Power Practice Problems

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Updated on Aug 24, 2011

These arithmetic reasoning practice questions are based on the actual ASVAB. Take this quiz to see how you would do if you took the exam today and to determine your strengths and weaknesses as you plan your study schedule.

Time: 36 minutes

1. A survey has shown that a family of four can save about \$40 a week by purchasing generic items rather than brand-name ones. How much can a particular family save over six months? (one month = 4.3 weeks)
1. \$1,032
2. \$1,320
3. \$1,310
4. \$1,300
2. Bart's eight-ounce glass is full of water. How many ounces of water does he have?
1. ounces
2. 5 ounces
3. 6 ounces
4. ounces

Use the following pie chart to answer questions 3 and 4.

1. What should be the percent label for food?
1. 12%
2. 18%
3. 28%
4. 38%
2. If Harold's monthly income is \$2,450, how much does he spend on rent each month?
1. \$686
2. \$735
3. \$882
4. \$931

1. If you take recyclables to whichever recycler will pay the most, what is the greatest amount of money you could get for 2,200 pounds of aluminum, 1,400 pounds of cardboard, 3,100 pounds of glass, and 900 pounds of plastic?
1. \$409
2. \$440
3. \$447
4. \$485
2. Five oranges, when removed from a basket containing three more than seven times as many oranges, leaves how many in the basket?
1. 21
2. 28
3. 33
4. 38
3. Ribbon in a craft store costs \$0.75 per yard. Vernon needs to buy yards. How much will it cost?
1. \$7.33
2. \$6.95
3. \$5.50
4. \$4.25
4. R.J. found a lamp on sale for 0.25 off its original price. What fraction of its original price will R.J. have to pay for the lamp?
5. How many -pound hamburgers can be made from six pounds of ground beef?
1. 18 hamburgers
2. hamburgers
3. 24 hamburgers
4. hamburgers
6. The markup on a pair of sneakers is 150%. If the sneakers originally cost \$45, what is the price after the markup?
1. \$22.50
2. \$57.50
3. \$67.50
4. \$112.50
7. Matthew had 200 baseball cards. He sold 5% of the cards on Saturday and 10% of the remaining cards on Sunday. How many cards are left?
1. 170
2. 171
3. 175
4. 185
8. A teacher purchased a number of supplies to start the new school year. The costs are listed as follows: \$12.98, \$5.68, \$20.64, and \$6.76.What is the total cost?
1. \$45.96
2. \$46.06
3. \$46.16
4. \$47.16
9. How many hours are in five days?
1. 60 hours
2. 100 hours
3. 120 hours
4. 240 hours
10. A truck is carrying 1,000 television sets; each set weighs 21.48 pounds. What is the total weight, in pounds, of the entire load?
1. 214.8 pounds
2. 2,148 pounds
3. 21,480 pounds
4. 214,800 pounds
11. Hilga and Jerome leave from different points walking directly toward each other. Hilga walks miles per hour, and Jerome walks 4 miles per hour. If they meet in hours, how far apart were they?
1. 9 miles
2. 13 miles
3. miles
4. miles
12. Des Moines recently received a snowstorm that left a total of eight inches of snow. If it snowed at a consistent rate of three inches every two hours, how much snow had fallen in the first five hours of the storm?
1. 3 inches
2. 3.3 inches
3. 5 inches
4. 7.5 inches
13. Use the following graph to answer question 17.

14. Avi's final math grade is based on his scores on four tests. To get an A, Avi needs an average test score of 88 or higher. The graph shown here represents Avi's first three test scores. What is the lowest score Avi can get on the fourth test and still earn an A?
1. 99
2. 97
3. 95
4. 93
15. Joan will be twice Tom's age in three years when Tom will be 40. How old is Joan now?
1. 20
2. 80
3. 77
4. 37
16. Kari is running for student council. The rules restrict the candidates to four two-foot-bythree-foot posters. Kari has dozens of four-inch-by-six-inch pictures that she would like to cover the posters with. What is the maximum number of pictures she will be able to use on the four posters?
1. 144
2. 130
3. 125
4. 111
17. It takes five-year-old Carlos 1.6 minutes to tie the lace on his right shoe and 1.5 minutes to tie the lace on his left shoe. How many minutes does it take Carlos to tie both shoes?
1. 2.1 minutes
2. 3.0 minutes
3. 3.1 minutes
4. 4.1 minutes
18. Tamika is restoring an antique storage chest that is in the shape of a rectangular box. She is painting only the outside of the trunk. The trunk is four feet long, 18 inches wide, and two feet tall. There is a one-square-foot brass ornament on the outside of the trunk that will not get painteHow much paint does she need, in square feet, to cover the outside of the trunk?
1. 33 square feet
2. 34 square feet
3. 143 square feet
4. 231 square feet
19. 2,520 seconds is equivalent to how many minutes?
1. 84 minutes
2. 42 minutes
3. 151,200 minutes
4. 126 minutes
20. Belinda is building a garden sheWhen she helped her neighbor build an identical shed, it took them 22 hours to complete the job together. If it would have taken her neighbor, working alone, 38 hours to build the shed, how long will it take Belinda, working alone, to build her shed?
1. 33.75 hours
2. 41.00 hours
3. 41.25 hours
4. 52.25 hours
21. An empty crate weighs 8.16 kg and an orange weighs 220 g. If Jon can lift 11,000 g, how many oranges can he pack in the crate before lifting it onto his truck?
1. 12
2. 13
3. 37
4. 46
22. Jeff was 10 minutes early for class. Dee came in four minutes after Mae, who was half as early as Jeff. How many minutes early was Dee?
1. 1 minute
2. 2 minutes
3. 2.5 minutes
4. 6 minutes
23. A certain radio station plays classical music during 20% of its airtime. If the station is on the air 24 hours a day, how many hours each day is the station NOT playing classical music?
1. 8.0 hours
2. 15.6 hours
3. 18.2 hours
4. 19.2 hours
24. Change to a mixed number.
25. The animal shelter is developing a new outdoorgrass area for dogs. A fence needs to bepurchased that will surround the entire grassysection. The dimensions of the area are 120 feetby 250 feet. How much fencing needs to bepurchased?
1. 740 feet
2. 30,000 square feet
3. 740 square feet
4. 30,000 feet
26. If it takes Danielle 22.4 minutes to walk 1.25 miles, how many minutes will it take her to walk one mile?
1. 17.92 minutes
2. 18 minutes
3. 19.9 minutes
4. 21.15 minutes
27. Luis is mailing two packages. One weighs 12.9 pounds, and the other weighs half as much. What is the total weight, in pounds, of the two packages?
1. 6.45 pounds
2. 12.8 pounds
3. 18.5 pounds
4. 19.35 pounds