ASVAB Diagnostic Test

Part 5: Mathematics Knowledge (MK)

24 Minutes 25 Questions

  1. Directions: In this section, you will be tested on your knowledge of basic mathematics. For each question, select the best answer and mark the corresponding oval on your answer sheet.

  2. If 48 is divided by 0.08, the result is
    1. 0.06
    2. 0.6
    3. 60
    4. 600
  3. If the number 9,899,399 is increased by 2,082, the result will be
    1. 9,901,481
    2. 9,901,471
    3. 9,902,481
    4. 9,902,471
  4. The cube of 9 is
    1. 27
    2. 81
    3. 243
    4. 729
  5. What is the value of (-ab)(a) when a = -2 and b = 3?
    1. −12
    2. −6
    3. 6
    4. 12
  6. (x − 4)(x − 4) =
    1. x2 + 8x − 16
    2. x2 − 8x − 16
    3. x2 − 8x + 16
    4. x2 − 16x + 8
  7. 0.123 × 104 =
    1. .0000123
    2. .00123
    3. 1.23
    4. 1,230
    1. 2
    2. 4
    3. 6
    4. 8
  9. A circle has a diameter of 6, an area of b square units, and a circumference of c units. What is the value of b + c?
    1. 9π
    2. 15π
    3. 18π
    4. 42π
  10. A bag contains 8 white, 4 red, 7 green, and 5 blue marbles. Eight marbles are withdrawn at random. How many of the withdrawn marbles are white if the chance of drawing a white marble is now 1 in 4?
    1. 3
    2. 4
    3. 5
    4. 6
  11. Liza has 40 fewer than 3 times the number of books that Janice has. If B is equal to the number of books that Janice has, which of the following expressions shows the number of books that Liza and Janice have together?
    1. 3B − 40
    2. 3B + 40
    3. 4B − 40
    4. 4B + 40
  12. If the perimeter of a square is 32 meters, then what is the area of the square, in square meters?
    1. 16
    2. 32
    3. 48
    4. 64
  13. If x ≠ 0, then
    1. 4x4
    2. 4x3
    3. 3x4
    4. 3x3
  14. A number is considered “blue” if the sum of its digits is equal to the product of its digits. Which of the following is “blue”?
    1. 111
    2. 220
    3. 321
    4. 422
  15. If x = , what is the value of y when ?
    2. 4
    3. 16
    4. 64
    image
  16. If line p above is parallel to line q, what is the value of x + y?
    1. 90
    2. 110
    3. 125
    4. 180
  17. If 3ab = 6, what is the value of a in terms of b?
    3. 2b
    4. 2b2
  18. For what value of y is 4(y − 1) = 2(y + 2)?
    1. 0
    2. 2
    3. 4
    4. 6
    image
  19. In triangle RST above, if RS = RT, what is the degree measure of angle S?
    1. 40
    2. 55
    3. 70
    4. cannot be determined from the information given
  20. When D is divided by 15, the result is 6 with a remainder of 2. What is the remainder when D is divided by 6?
    1. 0
    2. 2
    3. 3
    4. 4
  21. If the average of 7 consecutive even numbers is 24, then the largest number is
    1. 26
    2. 28
    3. 30
    4. 34
  22. A box that has dimensions of 2 inches by 3 inches by 4 inches has a total surface area of
    1. 24 square inches
    2. 26 square inches
    3. 48 square inches
    4. 52 square inches
  23. If 100 ÷ x = 10n, then which of the following is equal to nx?
    1. 10
    2. 10x
    3. 100
    4. 10xn
    image
  24. In the figure above, what is the value of x?
    1. 15
    2. 30
    3. 55
    4. 70
  25. If 7! = 7 × 6 × 5 × 4 × 3 × 2 × 1, then 5! =
    1. 15
    2. 75
    3. 120
    4. 125
  26. Melissa took 5n photographs on a certain trip. If she gives n photographs to each of her 3 friends, how many photographs will she have left?
    1. 2n
    2. 3n
    3. 4n − 3
    4. 4n + 3