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# Mathematics Knowledge for ASVAB Power Practice Problems

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Updated on Aug 12, 2011

These mathematics knowledge 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: 24 minutes

1. What is the reciprocal of
2. How many 12-inch square tiles are needed to tile the floor in a room that is 10 feet by 15 feet?
1. 150
2. 300
3. 144
4. 1,800
3. Express the fraction in lowest terms.
4. What is the value of the expression when x = 1, y = 3, and z = 6?
1. 3
2. 7
3. 12
4. 21
5. In the equation 4p – 10 – 2p = 16, what is p equal to?
1. 2
2. 6
3. 13
4. 26
6. If two sides of a triangle measure five and seven, between what two numbers must the length of the third side be?
1. 2 and 5
2. 2 and 12
3. 5 and 7
4. The third side can be any length.
7. What percentage of 700 is 1,225?
1. 57%
2. 60%
3. 125%
4. 175%
8. Which of the following is between ?
9. Simplify: 3(6x4)2.
1. 18x6
2. 18x8
3. 108x6
4. 108x8
10. To solve for an unknown in an equation, you must always
2. subtract it.
3. isolate it on one side.
4. eliminate the inequality.
11. What is the area of the rectangle?
1. 6 square units
2. 8 square units
3. 12 square units
4. 16 square units
12. If reams of copy paper cost \$11.39 for five cases, how much would 100 cases cost?
1. \$56.95
2. \$227.80
3. \$1,139.00
4. \$68.34
13. Which of the following is the word form of the decimal 0.08?
1. eight hundredths
2. eight tenths
3. eight thousandths
4. eight ten-thousandths
14. The product of a number and its square is 729. What is the number?
1. 9
2. 364.5
3. 18
4. 182.25
15. Which of the following is equivalent to the product of the expressions (3x2y) and (2xy2)?
1. 5x2y2
2. 5x3y3
3. 6x2y2
4. 6x3y3
16. If x – 1 represents an odd integer, which of the following represents the next larger odd integer?
1. x – 3
2. x
3. x + 1
4. x + 2
17. A square television has an area of 676 square inches. How long is each side?
1. 26 inches
2. 25 inches
3. 24 inches
4. 23 inches
18. What is 42% of 6?
1. 0.00252
2. 0.025
3. 2.52
4. 0.252
19. Two ships leave from a port. Ship A sails west for 300 miles, and Ship B sails north for 400 miles. How far apart are the ships after their trips?
1. 300 miles
2. 400 miles
3. 500 miles
4. 900 miles
20. 625% converted to a mixed number equals
1. 62
2. 6
3. 0.6
4. 0.625
21. What is the sum of the first four prime numbers?
1. 17
2. 18
3. 19
4. 20
22. Which value of x will make this number sentence true: x + 25 ≤ 13?
1. –13
2. –11
3. 12
4. 38
23. Which of the following numbers is NOT between –0.06 and 1.06?
1. 0
2. 0.06
3. –0.16
4. –0.016
24. What is another way to write 4.32 × 1,000?
1. 432
2. 4,320
3. 43,200
4. 432,000
25. Solve for x in terms of r and s: s = 2x – r.
1. x = s + r – 2
2. x = 2s – r