ASVAB - Mathematics Knowledge MK v1

ASVAB Mathematics Knowledge (MK) v.1 (50 Questions with answers)

1. The area of a rectangle 25 feet wide and 40 feet long is

2. The marching band finds that if they organize into rows with five members in each row, there is one person left over. If the form rows of six people, there is still one person left over. Which of these could be the number of band members?

3. If RST and trapezoid WXYZ are cut off the figure shown, what polygon is left?

4. Jorge wants to use boards to enclose a triangular section of land as a flower garden. He has chosen boards for two of the sides of the triangle; one is 3 feet long and the other is 5 feet long. He has other boards of different lengths to choose from for the third side.

Which length board could not make the third side of the triangle?

5. A teacher needs to give each of her student’s one sheet each of red and yellow paper for an art project. The red paper comes in packs of 12 sheets, and the yellow paper comes in packs of 15 sheets. The teacher buys the minimum number of packs of each paper that will guarantee equal amounts of each color. How many students can complete the project?

6. Alberto saves $12 each week. Dahlia has already saved $270, and each week she spends $15 of that savings. When they both have the same amount in savings, they combine their money. What is the combined amount?

7. If the cost of manufacturing storage containers is $580 plus 18¢ per container, what is the cost of manufacturing 5,000 containers?

8. At the moment that a 35-foot maple tree casts a shadow 7 feet long, how long is the shadow of a 6-foot man, in inches?

9. A worker assembling toy cars must place four wheels on each car body. If there are 432 car bodies and 1,584 wheels available, how many complete toy cars can be assembled?

10. How many cubic feet of packing foam will fit in a shipping carton 2 feet long, 3 feet wide, and 16 inches high?

11. If the radius of a circle is doubled, by what percent does the area increase?

12. A bag contains balls and blocks, in various colors. If ¾ of the objects in the bag are balls and 2/5 of the objects are red, what fraction would you expect to be red balls?

13. If 8,974 and 4,905 are rounded to the nearest hundred and then added, what is the sum?

14. Temperatures in degrees Celsius can be converted to degrees Fahrenheit by the formula. Find the Fahrenheit equivalent of a temperature of 20°C.

15. Express the sentence “Six more than three times a number, x, is 27” as an equation.

16. All the following are true except

17. When rounded to the nearest hundredth, 4,739.9374 is equal to

18. Which of the following is equal to 34?

19. 4(30 – 18) – 4 · 30 – 18 =

20. The train makes the 40-mile trip from Alphatown to Betaville in 37 minutes. John can drive on a road parallel to the train tracks at 50 mph. How much longer would it take to drive between the two towns than it would to take the train?

21. Find the value of a+b2 / a2-b if a = 8 and b = 3.

22. (x + y)2 is equivalent to all the following except

23. One liter of a 50 percent saline solution is mixed with 1 liter of pure water. What is the concentration of the resulting solution?

24. If 2x – 7 = 17 then x =

25. X2-5x+6/x-2

26. Simplify: (–18) ÷ (+6) – (–9).

27. Simplify: (–21) · (+3) + (+ 84) ÷ (–12).

28. Simplify: (–13) · (+20) + (–35) + (–15) – (–48) ÷ (+16).

29. Simplify: (–17) + (–25) – (+31) + (+48) · (–2) ÷ (–8).

30. Simplify: (–25) – (+18) ÷ (–6) · (–21) – (–7).

31. Simplify: ^27+^75.

32. Simplify: ^63. ^44.

33. Simplify: 9^51/3^17.

34. Simplify: 5/^15.

35. Simplify: ^23,716.

36. Evaluate x – 7 (y + 3z) when x = 4, y = 2, and z = 3.

37. Evaluate (x + z) 2 + 4y when x = 4, y = 2, and z = 3.

38. Evaluate –t2 when t = 5.

39. Simplify: (3xy2) (5x2y).

40. Simplify: 15x 2y 3z / 5xyz3.

41. Solve: 3(x – 5) + 4(2x – 1) = 47.

42. Solve: (6 + a) – (5 – 2a) = –2.

43. Solve: |x+1|=2.

44. Solve: |3-x|=5.

45. Solve: |2x+5|-4=7.

46. Solve: –8 + 9t > 10t – 23.

47. Solve: 9y – 6 > 2y + 15.

48. Solve: –7 < 2b – 11 < 5.

49. Solve: |15-3x|>6.

50. Solve: |5x-3|≤7.

ASVAB Mathematics Knowledge (MK)

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