ASVAB PRACTICE TEST B

Part 5: Mathematics Knowledge (MK)

24 Minutes 25 Questions

3. 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.

4. If , then x =

   1. 
   2. 
   3. 
   4. 

   

5. For all a, (3a + 4)(4a - 3) =

   1. 3a² - 4
   2. 9a² - 4
   3. 12a² + 7a - 12
   4. 9a² - 16
6. 3. If 2m > 24 and 3m < 48, which of the following could not be a possible value for m?
   1. 13
   2. 14
   3. 15
   4. 16

7. 

   1. 
   2. 
   3. 
   4. 

8. In the figure above, if PQRS is a square, what is the value of a?

   

   1. 
   2. 5
   3. 7
   4. 9

9. In triangle ABC, the degree measures of the three interior angles are in the ratio of 1:2:3. What is the difference in the degree measures between the largest and the smallest angles?

   1. 30
   2. 60
   3. 90
   4. 120

10. What is the perimeter of a right triangle with perpendicular sides of lengths 3 and 6?

    1. 
    2. 
    3. 
    4. 18

11. In the diagram above, if AD = BE = 6, AE = 8 and CD = 3BC, then BC =

    

    1. 4
    2. 3
    3. 2
    4. 1

12. The figure above is composed of nine regions: four squares, four triangles, and one rectangle. If the rectangle has sides length 4 and width 3, what is the perimeter of the entire figure?

    

    1. 30
    2. 34
    3. 40
    4. 48

13. If is an even integer, which of the following could be the value of n?

    1. 27
    2. 48
    3. 81
    4. 144
14. Gheri is n years old. Carl is 6 years younger than Gheri and 2 years older than Jean. What is the sum of the ages of all three?
    1. 3n + 4
    2. 3n - 4
    3. 3n - 8
    4. 3n - 14

15. Which of the following is NOT a prime number?

    1. 2
    2. 37
    3. 51
    4. 67

16. What is the area of a circle whose circumference is 2π?

    1. 
    2. π
    3. 2π
    4. 4π

17. A high school band is composed of 13 freshmen, 20 sophomores, 16 juniors, and 15 seniors. What is the probability that a band member chosen at random will be a sophomore?

    1. 
    2. 
    3. 
    4. 

18. If , then 3 - k =

    1. 
    2. 
    3. 
    4. 
19. If x ≠ 0 and , then x =
    1. 
    2. 
    3. 3
    4. 5

20. If a, b, c, and d are all positive numbers, , and 4c = 3d, what is the value of ?

    1. 
    2. 
    3. 
    4. 3

21. How many rectangular tiles with dimensions of 3 inches by 4 inches are needed to cover a rectangular area with dimensions of 2 feet and 3 feet?

    1. 60
    2. 72
    3. 120
    4. 144

22. For how many integer values of x will be greater than and less than ?

    1. 6
    2. 7
    3. 12
    4. 28

23. A circular hole is covered by a circular cover that has a diameter of 14 inches. If the hole has a diameter of 12 inches, how much greater than the area of the hole is the area of the cover, in square inches?

    1. π
    2. 13π
    3. 36π
    4. 52π

24. Which of the following is closest in value to the decimal 0.40?

    1. 
    2. 
    3. 
    4. 

25. If x oranges cost the same as y peaches, peaches cost 39 cents each, and the cost of each orange is the same, how many dollars does each orange cost?

    1. 
    2. 
    3. 
    4. 
26. A class of 40 students is to be divided into smaller groups. If each group is to contain 3, 4, or 5 people, what is the largest number of groups possible?
    1. 10
    2. 12
    3. 13
    4. 14

27. If the area of a triangle is 36 and its base is 9, what is the length of the altitude to that base?

    1. 4
    2. 6
    3. 8
    4. 12

28. If x = -5, then 2x² - 6x + 5 =

    1. 15
    2. 25
    3. 85
    4. 135

If you finish before the time is up, you may check over your work on this part only.