FREE ASVAB Mathematics Practice Test
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 Based on 2023 Armed Forces Qualifications Test
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Question 1 of 50
1. Question
Solve for c:
6c – 2 < 6 + 5cCorrectIncorrect 
Question 2 of 50
2. Question
If a = 4, b = 7, c = 6, and d = 7, what is the perimeter of this quadrilateral?
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Question 3 of 50
3. Question
What is the area of a circle with a diameter of 6?
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Question 4 of 50
4. Question
A cylinder with a radius (r) and a height (h) has a surface area of:
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Question 5 of 50
5. Question
Which of the following statements about a triangle is not true?
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Question 6 of 50
6. Question
The endpoints of this line segment are at (2, 5) and (2, 1). What is the slope of this line?
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Question 7 of 50
7. Question
If angle a = 65° and angle b = 61° what is the length of angle d?
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Question 8 of 50
8. Question
The dimensions of this cube are height (h) = 6, length (l) = 7, and width (w) = 4. What is the surface area?
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Question 9 of 50
9. Question
The dimensions of this trapezoid are a = 4, b = 9, c = 5, d = 4, and h = 3. What is the area?
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Question 10 of 50
10. Question
What is 2a – 8a?
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Question 11 of 50
11. Question
Solve for b:
b^{2} – 18b + 81 = 0CorrectIncorrect 
Question 12 of 50
12. Question
If the base of this triangle is 8 and the height is 2, what is the area?
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Question 13 of 50
13. Question
If angle a = 23° and angle b = 53° what is the length of angle d?
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Question 14 of 50
14. Question
A cylinder with a radius (r) and a height (h) has a surface area of:
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Question 15 of 50
15. Question
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they’re equal).
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Question 16 of 50
16. Question
A(n) __________ is two expressions separated by an equal sign.
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Question 17 of 50
17. Question
What is the circumference of a circle with a radius of 1?
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Question 18 of 50
18. Question
The endpoints of this line segment are at (2, 2) and (2, 0). What is the slopeintercept equation for this line?
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Question 19 of 50
19. Question
Find the value of a:
8a + y = 8
5a – 2y = 3CorrectIncorrect 
Question 20 of 50
20. Question
The dimensions of this trapezoid are a = 4, b = 4, c = 7, d = 6, and h = 3. What is the area?
CorrectIncorrect 
Question 21 of 50
21. Question
Solve for z:
9z – 4 = 6 – 4zCorrectIncorrect 
Question 22 of 50
22. Question
Simplify (2a)(7ab) – (9a^{2})(5b).
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Question 23 of 50
23. Question
A cylinder with a radius (r) and a height (h) has a surface area of:
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Question 24 of 50
24. Question
Simplify 3a x 2b.
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Question 25 of 50
25. Question
If a = c = 9, b = d = 6, and the blue angle = 60°, what is the area of this parallelogram?
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Question 26 of 50
26. Question
Factor y^{2} + 18y + 81
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Question 27 of 50
27. Question
Solve for b:
b^{2} – 16b + 22 = 5b – 2CorrectIncorrect 
Question 28 of 50
28. Question
If the base of this triangle is 1 and the height is 2, what is the area?
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Question 29 of 50
29. Question
The dimensions of this trapezoid are a = 6, b = 2, c = 7, d = 4, and h = 5. What is the area?
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Question 30 of 50
30. Question
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
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Question 31 of 50
31. Question
The dimensions of this trapezoid are a = 6, b = 4, c = 7, d = 8, and h = 4. What is the area?
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Question 32 of 50
32. Question
This diagram represents two parallel lines with a transversal. If d° = 160, what is the value of w°?
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Question 33 of 50
33. Question
A quadrilateral is a shape with __________ sides.
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Question 34 of 50
34. Question
For this diagram, the Pythagorean theorem states that b^{2} = ?
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Question 35 of 50
35. Question
If BD = 11 and AD = 18, AB = ?
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Question 36 of 50
36. Question
On this circle, line segment CD is the:
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Question 37 of 50
37. Question
The endpoints of this line segment are at (2, 3) and (2, 1). What is the slope of this line?
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Question 38 of 50
38. Question
The dimensions of this cylinder are height (h) = 6 and radius (r) = 9. What is the volume?
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Question 39 of 50
39. Question
Breaking apart a quadratic expression into a pair of binomials is called:
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Question 40 of 50
40. Question
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
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Question 41 of 50
41. Question
A cylinder with a radius (r) and a height (h) has a surface area of:
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Question 42 of 50
42. Question
This diagram represents two parallel lines with a transversal. If b° = 146, what is the value of a°?
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Question 43 of 50
43. Question
Solve for z:
8z – 1 = 9 + 5zCorrectIncorrect 
Question 44 of 50
44. Question
The endpoints of this line segment are at (2, 1) and (2, 3). What is the slope of this line?
CorrectIncorrect 
Question 45 of 50
45. Question
A(n) __________ is two expressions separated by an equal sign.
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Question 46 of 50
46. Question
Simplify 9a x 8b.
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Question 47 of 50
47. Question
Find the value of b:
6b + x = 1
b – 9x = 4CorrectIncorrect 
Question 48 of 50
48. Question
If side a = 1, side b = 8, what is the length of the hypotenuse of this right triangle?
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Question 49 of 50
49. Question
If the area of this square is 64, what is the length of one of the diagonals?
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Question 50 of 50
50. Question
Breaking apart a quadratic expression into a pair of binomials is called:
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