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Arithmetic Reasoning Review 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. In New York City, two out of every five people surveyed bicycle to work. Out of a population sample of 200,000 people, how many bicycle to work?
    1. 4,000
    2. 8,000
    3. 40,000
    4. 80,000
  2. Serena has to choose between two jobs. One is at Books R Us and pays $18,000 with yearly raises of $800. The other, at Readers Galore, pays $16,400 per year with yearly raises of $1,200. In how many years will the two yearly salaries be equal?
    1. 6
    2. 5
    3. 4
    4. 3

Use the following pie chart to answer questions 3 through 5.

Arithmetic Reasoning

  1. For which item does Ricardo spend half as much as he puts in his savings account?
    1. his car
    2. clothes
    3. housing
    4. food
  2. For which two items does Ricardo spend 50% of each budgeted dollar?
    1. savings and housing
    2. clothes and housing
    3. car and medical
    4. medical and food
  3. Last year, Ricardo made $46,500. About how much more did he spend on housing during the year than he put away in savings?
    1. $2,000
    2. $2,600
    3. $2,800
    4. $3,000
  4. The number of red blood corpuscles in one cubic millimeter is about 5,000,000, and the number of white blood corpuscles in one cubic millimeter is about 8,000.What, then, is the ratio of white blood corpuscles to red blood corpuscles?
    1. 1:625
    2. 1:40
    3. 4:10
    4. 5:1,250
  5. The living room in Donna's home is 182 square feet. How many square yards of carpet should she purchase to carpet the room?
    1. 9 square yards
    2. 1,638 square yards
    3. 61 square yards
    4. 21 square yards
  6. During a basketball game, Jack has made 20 free-throw shots out of his 50 tries. How many of his next 25 free-throw attempts is Jack most likely to make?
    1. 5
    2. 10
    3. 15
    4. 20
  7. Twelve people entered a room. Three more than two-thirds of these people then left. How many people remain in the room?
    1. 0
    2. 1
    3. 2
    4. 7
  8. A map of Nevada has the following scale: 0.5 inches = 15 miles. Which expression tells the actual distance, d, between points that are 5.25 inches apart on the map?
  9. The Cougars played three basketball games last week. Monday's game lasted 113.9 minutes; Wednesday's game lasted 106.7 minutes; and Friday's game lasted 122 minutes. What is the average time, in minutes, for the three games?
    1. 77.6 minutes
    2. 103.2 minutes
    3. 114.2 minutes
    4. 115.6 minutes
  10. A helicopter flies over a river at 6:02 A.M. and arrives at a heliport 20 miles away at 6:17 A.M. How many miles per hour was the helicopter traveling?
    1. 120 miles per hour
    2. 300 miles per hour
    3. 30 miles per hour
    4. 80 miles per hour
  11. How many minutes are there in 12 hours?
    1. 24 minutes
    2. 1,440 minutes
    3. 720 minutes
    4. 1,200 minutes
  12. Five people in Sonja's office are planning a party. Sonja will buy a loaf of French bread ($3 per loaf) and a platter of cold cuts ($23). Barbara will buy the soda ($1 per person) and two boxes of crackers ($2 per box). Mario and Rick will split the cost of two packages of Cheese Doodles ($1 per package). Danica will supply a package of five paper plates ($4 per package). How much more will Sonja spend than the rest of the office put together?
    1. $14
    2. $13
    3. $12
    4. $11
  13. Kathy charges $7.50 per hour to mow a lawn. Sharon charges 1.5 times as much to do the same job. How much does Sharon charge to mow a lawn?
    1. $5.00 per hour
    2. $11.25 per hour
    3. $10.00 per hour
    4. $9.00 per hour
  14. The height of the Eiffel Tower is 986 feet. A replica of the tower made to scale is 4 inches tall. What is the scale of the replica to the real tower?
    1. 1 to 246.5
    2. 1 to 3,944
    3. 246.5 to 1
    4. 1 to 2,958
  15. On Sundays, Mike gives half-hour drum lessons from 10:30 A.M. to 5:30 P.M. He takes a half-hour lunch break at noon. If Mike is paid $20 for each lesson, what is the total amount he makes on Sunday?
    1. $260
    2. $190
    3. $170
    4. $140
  16. Driving 60 miles per hour, it takes one-half hour to drive to work. How much additional time will it take to drive to work if the speed is now 40 miles per hour?
    1. 1 hour
    2. 2 hours
    3. 15 minutes
    4. 30 minutes
  17. An 8" × 10"photograph is blown up to a billboard size that is in proportion to the original photograph. If 8" is considered the height of the photo, what would be the length of the billboard if its height is 5.6 feet?
    1. 7 feet
    2. 400 feet
    3. 56 feet
    4. 9 feet
  18. Membership dues at Arnold's Gym are $53 per month this year, but were $50 per month last year. What was the percentage increase in the gym's prices?
    1. 5.5%
    2. 6.0%
    3. 6.5%
    4. 7.0%
  19. Which of the following best represents the following statement? Patricia (P) has four times the number of marbles Sean (S) has.
    1. P = S + 4
    2. S = P – 4
    3. P = 4S
    4. S = 4P
  20. A piggy bank contains $8.20 in coins. If there are an equal number of quarters, nickels, dimes, and pennies, how many of each denomination are there?
    1. 10
    2. 20
    3. 30
    4. 40
  21. Two saline solutions are mixed. Twelve liters of 5% solution are mixed with four liters of 4% solution. What percent saline is the final solution?
    1. 4.25%
    2. 4.5%
    3. 4.75%
    4. 5%
  22. A neighbor has three dogs. Fluffy is half the age of Muffy, who is one-third as old as Spot, who is half the neighbor's age, which is 24. How old is Fluffy?
    1. 2
    2. 4
    3. 6
    4. 12
  23. Mario has finished 35 out of 45 of his test questions. Which of the following fractions of the test does he have left?
  24. D'Andre rides the first half of a bike race in two hours. If his partner, Adam, rides the return trip five miles per hour less, and it takes him three hours, how fast was D'Andre traveling?
    1. 10 miles per hour
    2. 15 miles per hour
    3. 20 miles per hour
    4. 25 miles per hour
  25. Kate earns $26,000 a year. If she receives a 4.5% salary increase, how much will she earn?
    1. $26,450
    2. $27,170
    3. $27,260
    4. $29,200
  26. Rudy forgot to replace his gas cap the last time he filled his car with gas. The gas is evaporating out of his 14-gallon tank at a constant rate of gallon per day. How much gas does Rudy lose in one week?
  27. Veronica took a trip to the lake. If she drove steadily for five hours traveling 220 miles, what was her average speed for the trip?
    1. 44 miles per hour
    2. 55 miles per hour
    3. 60 miles per hour
    4. 66 miles per hour
  28. A rectangular tract of land measures 860 feet by 560 feet. Approximately how many acres is this? (one acre = 43,560 square feet)
    1. 12.8 acres
    2. 11.06 acres
    3. 10.5 acres
    4. 8.06 acres
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