ASVAB PRACTICE TEST A

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. For all x, (3x + 4)(4x − 3) =

    1. 7x − 12
    2. 12x2 − 12
    3. 12x2 − 25x − 12
    4. 12x2 + 7x − 12

  3. If a tree grew 5 feet in n years, what was the average rate at which the tree grew, in inches per year?

  4. 43744.png

    In the figure above, if the perimeter of rectangle ABCD is 56, and the length of AD is 16, what is the area of ABCD?

    1. 40
    2. 64
    3. 160
    4. 192

  5. A square is a rectangle with four sides.

    1. equal
    2. parallel
    3. unequal
    4. curvilinear

  6. If a < b and b < c, which of the following must be true?

    1. b + c < 2a
    2. a + b < c
    3. a − b < b − c
    4. a + b < 2c

  7. In the figure above, x = 2z and y = 3z. What is the value of z?

    43755.png
    1. 24
    2. 30
    3. 36
    4. 54

  8. If the minute hand of a properly functioning clock has just moved 45 degrees, how many minutes passed while it did so?

    1. 6
    2. 7.5
    3. 12.5
    4. 27

  9. What is the area of the figure below?

    50571.png
    1. 4
    2. 6
    3. 12
    4. 24

  10. In the figure below, if line p is parallel to line q, what is the value of y?

    44091.png
    1. 65
    2. 115
    3. 125
    4. 130

  11. 15% of 15% of 200 is

    1. 4.5
    2. 6
    3. 12.5
    4. 45

  12. What is the average (arithmetic mean) of and ?

  13. If an angle measures y°, what will its supplement measure in terms of y?

    1. (90 − y)°
    2. (90 + y)°
    3. (180 − y)°
    4. (180 + y)°

  14. Diane painted of her room with 2 cans of paint. How many more cans of paint will she need to finish painting her room?

    1. 2
    2. 5
    3. 7
    4. 10

  15. If 13 + a = 25 + b, then b − a =

    1. 12
    2. 8
    3. −8
    4. −12

  16. For all x, 3x2 × 5x3 =

    1. 8x5
    2. 8x6
    3. 15x5
    4. 15x6

  17. If the sides of a square increase in length by 10%, the area of the square increases by

    1. 10%
    2. 15%
    3. 20%
    4. 21%

  18. If , then =

    1. 7.5
    2. 10
    3. 22.5
    4. 30

  19. Which of the following is a factor of 6x2 − 13x + 6?

    1. 2x + 2
    2. 2x + 3
    3. 3x − 2
    4. 3x − 3

  20. If the product of 3 and x is equal to 2 less than y, which of the following must be true?

    2. 3x − y − 2 = 0
    3. 3x + y − 2 = 0
    4. 3x − y + 2 = 0

  21. If x > 1 and then =

    3. x − 1
  22. 44106.png

    If the solid above is half of a cube, then the volume of the solid is

    1. 16
    2. 16
    3. 32
    4. 32

  23. When 7.6 is divided by 0.019, the quotient is

    1. 4,000
    2. 400
    3. 40
    4. 4

  24. What is the area of a circle with a circumference of 8?

    3. 4π
    4. 16π

  25. 36% of 18 is 18% of what number?

    1. 9
    2. 36
    3. 72
    4. 200

  26. is between which two numbers?

    1. 100 and 200
    2. 200 and 300
    3. 300 and 400
    4. 400 and 500