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Math Knowledge for ASVAB Power Practice Problems

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Updated on Oct 30, 2012

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. Which of these equations is incorrect?
    1. Neither is incorrect.
    2. Both are incorrect.
  2. Sixteen less than six times a number is 20. What is the number?
    1. 12
    2. 10
    3. 8
    4. 6
  3. The most ergonomically correct angle between the keyboard and the screen of a laptop computer is 100°. This is called
    1. an acute angle.
    2. a complimentary angle.
    3. an obtuse angle.
    4. a right angle.
  4. Which of these angle measures form a right triangle?
    1. 40°, 40°, 100°
    2. 20°, 30°, 130°
    3. 40°, 40°, 40°
    4. 40°, 50°, 90°
  5. Evaluate the following expression if a = 3, b = 4, and c = –2: (abac) ÷ abc.
  6. Which value of a will make this number sentence false? a ≤ 5
    1. 0
    2. –3
    3. 5
    4. 6
  7. Change this mixed number to an improper fraction:
  8. Which of the following choices is equivalent to 25?
    1. 7
    2. 10
    3. 16
    4. 32
  9. Which of the following is equivalent to 2y2?
    1. 2(y + y)
    2. 2y(y)
    3. y2 + 2
    4. y + y + y + y
  10. If what is x?
    1. 3
    2. 6
  11. What is the value of 161/2?
    1. 2
    2. 4
    3. 8
    4. 32
  12. What is the smallest prime number?
    1. 0
    2. 1
    3. 2
    4. 3
  13. If 5a + 50 = 150, then a is
    1. 10
    2. 20
    3. 30
    4. 40
  14. If the following figure is a regular decagon with a center at Q, what is the measure of the indicated angle?
  15. Part 5: Mathematics Knowledge

    1. 45°
    2. 80°
    3. 90°
    4. 108°
  16. Which of the following choices is divisible by both 7 and 8?
    1. 42
    2. 78
    3. 112
    4. 128
  17. Which of the following is a simplification of (x2 + 4x + 4) ÷ (x + 2)?
    1. x – 2
    2. x + 4
    3. x2 + 3x + 2
    4. x + 2
  18. If = 2, then x is
    1. 9
    2. 36
    3. 144
    4. 72
  19. The area of a rectangular table is 72 square inches. The longer sides are 12 inches long. What is the width?
    1. 5 inches
    2. 6 inches
    3. 7 inches
    4. 8 inches
  20. A triangle has sides that are consecutive even integers. The perimeter of the triangle is 24 inches. What is the length of the shortest side?
    1. 10 inches
    2. 8 inches
    3. 6 inches
    4. 4 inches
  21. The tens digit is four times the ones digit in a certain number. If the sum of the digits is 10, what is the number?
    1. 93
    2. 82
    3. 41
    4. 28
  22. Two angles are supplementary. One measures 84°.What does its supplement measure?
    1. 90°
    2. 276°
    3. 96°
  23. What lines must be parallel in the following diagram?
  24. Part 5: Mathematics Knowledge

    1. a and b
    2. a and d
    3. b and c
    4. c and d
  25. What is the value of 56,515 ÷ 4, rounded to the nearest whole number?
    1. 10,000
    2. 14,000
    3. 14,128
    4. 14,129
  26. 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
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