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Arithmetic Reasoning for ASVAB Power Practice Problems

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Updated on Aug 12, 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 floppy disk shows 827,036 bytes free and 629,352 bytes used. If you delete a file of size 542,159 bytes and create a new file of size 489,986 bytes, how many free bytes will the floppy disk have?
1. 577179
2. 681525
3. 774863
4. 879209
2. A train must travel to a certain town in six days. The town is 3,300 miles away. How many miles must the train average each day to reach its destination?
1. 500 miles
2. 525 miles
3. 550 miles
4. 575 miles
3. A trash container, when empty, weighs 27 pounds. If this container is filled with a load of trash that weighs 108 pounds, what is the total weight of the container and its contents?
1. 81 pounds
2. 135 pounds
3. 145 pounds
4. 185 pounds
4. Roberta takes \$58 with her on a shopping trip to the mall. She spends \$18 on new shoes and another \$6 on lunch. How much money does she have left after these purchases?
1. \$34
2. \$40
3. \$52
4. \$24
5. A car uses 16 gallons of gas to travel 384 miles. How many miles per gallon does the car get?
1. 22 miles per gallon
2. 24 miles per gallon
3. 26 miles per gallon
4. 28 miles per gallon
6. Sofia bought a pound of vegetables and used of it to make a salad. How many ounces of vegetables are left after she makes the salad?
1. 4 ounces
2. 6 ounces
3. 8 ounces
4. 10 ounces
7. The drivers at G & G trucking must report the mileage on their trucks each week. The mileage reading of Ed's vehicle was 20,907 at the beginning of one week, and 21,053 at the end of the same week. What was the total number of miles driven by Ed that week?
1. 46 miles
2. 145 miles
3. 146 miles
4. 1,046 miles
8. A snack machine accepts only quarters. Candy bars cost 25¢, packages of peanuts cost 75¢, and cans of cola cost 50¢. How many quarters are needed to buy two candy bars, one package of peanuts, and one can of cola?
1. 8 quarters
2. 7 quarters
3. 6 quarters
4. 5 quarters
9. Dave is 46 years old, twice as old as Rajeeve. How old is Rajeeve?
1. 30 years old
2. 28 years old
3. 23 years old
4. 18 years old
10. Cheryl lives miles from where she works. When traveling to work, she walks to a bus stop of the way to catch a bus. How many miles away from her house is the bus stop?
11. While preparing a dessert, Sue started by using 12 ounces of chocolate in her recipe. Later, she added 10 more ounces for flavor. What was the total amount of chocolate that Sue ended up using?
1. 1 pound
2. 1 pound 2 ounces
3. 1 pound 4 ounces
4. 1 pound 6 ounces
12. Write ten million, forty-three thousand, seven hundred three in numerals.
1. 143,703
2. 1,043,703
3. 10,043,703
4. 10,430,703

Use the following table to answer question 13.

1. This table shows the data Steve collected while watching birds for one week. How many raptors did Steve see on Monday?
1. 6
2. 7
3. 8
4. 10
2. If a vehicle is driven 22 miles on Monday, 25 miles on Tuesday, and 19 miles on Wednesday, what is the average number of miles driven each day?
1. 19 miles
2. 21 miles
3. 22 miles
4. 23 miles
3. Of the 1,200 videos available for rent at a certain video store, 420 are comedies. What percent of the videos are comedies?
1. 30%
2. 32%
3. 35%
4. Darlene was hired to teach three identical math courses, which entailed being present in the classroom 48 hours altogether. At \$35 per class hour, how much did Darlene earn for teaching one course?
1. \$105
2. \$560
3. \$840
4. \$1,680
5. Each sprinkler head on an athletic field sprays water at an average of 16 gallons per minute. If five sprinkler heads are flowing at the same time, how many gallons of water will be released in 10 minutes?
1. 80 gallons
2. 160 gallons
3. 800 gallons
4. 1,650 gallons
6. During the last week of track training, Shoshanna achieves the following times in seconds: 66, 57, 54, 54, 64, 59, and 59. Her three best times this week are averaged for her final score on the course. What is her final score?
1. 57 seconds
2. 55 seconds
3. 59 seconds
4. 61 seconds
7. Lefty keeps track of the length of each fish that he catches. Following are the lengths in inches of the fish that he caught one day: 12, 13, 8, 10, 8, 9, 17 What is the median fish length that Lefty caught that day?
1. 8 inches
2. 10 inches
3. 11 inches
4. 12 inches
8. During a fund-raiser, each of the 35 members of a group sold candy bars. If each member sold an average of six candy bars, how many total bars did the group sell?
1. 6
2. 41
3. 180
4. 210
9. If it takes two workers, working separately but at the same speed, 2 hours 40 minutes to complete a particular task, about how long will it take one worker, working at the same speed, to complete the same task alone?
1. 1 hour 20 minutes
2. 4 hours 40 minutes
3. 5 hours
4. 5 hours 20 minutes
10. A piece of gauze 3 feet 4 inches long was divided in five equal parts. How long was each part?
1. 1 foot 2 inches
2. 10 inches
3. 8 inches
4. 6 inches
11. Mr. James Rossen is just beginning a computer consulting firm and has purchased the following equipment:
• three telephone sets, each costing \$125
• two computers, each costing \$1,300
• two computer monitors, each costing \$950
• one printer costing \$600
• one answering machine costing \$50
12. Mr. Rossen is reviewing his finances. What should he write as the total value of the equipment he has purchased so far?

1. \$3025
2. \$5400
3. \$5525
4. \$6525
13. An auditorium that holds 350 people currently has 150 seated in it. What part of the auditorium is full?
14. Mr. Richard Tupper is purchasing gifts for his family. So far he has purchased the following:
• three sweaters, each valued at \$68
• one computer game valued at \$75
• two bracelets, each valued at \$43
15. Later, he returned one of the bracelets for a full refund and received a \$10 rebate on the computer game. What is the total cost of the gifts after the refund and rebate?

1. \$244
2. \$312
3. \$355
4. \$365
16. While bowling in a tournament, Jake and his friends had the following scores:
• Jake, 189
• Charles and Max each scored 120
• Terry, 95
17. What was the total score for Jake and his friends at the tournament?

1. 404
2. 504
3. 524
4. 526
18. Alex bought 400 hot dogs for the school picnic. If they were contained in packages of eight hot dogs, how many total packages did he buy?
1. 5
2. 50
3. 500
4. 3,200
19. The city's bus system carries 1,200,000 people each day. How many people does the bus system carry each year? (one year = 365 days)
1. 3,288 people
2. 32,880 people
3. 43,800,000 people
4. 438,000,000 people
20. Department regulations require trash collection trucks to have transmission maintenance every 13,000 miles. Truck #B-17 last had maintenance on its transmission at 12,398 miles. The mileage gauge now reads 22,003. How many more miles can the truck be driven before it must be brought in for transmission maintenance?
1. 3,395 miles
2. 4,395 miles
3. 9,003 miles
4. 9,605 miles
21. Roger has completed 78% of his 200-page thesis. How many pages has he written?
1. 150
2. 156
3. 165
4. 160