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10 Cards in this Set
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Mathematics Knowledge - ASVAB (full) test
1: If a = 5/2 then 1/a = A. 2 B. 5 C. 2/5 D. 5/2 |
C. 2/5
C. Substitute 5/2 for a, giving you 1/a = 1/(5/2) = 1 x 2/5 = 2/5. |
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Mathematics Knowledge - ASVAB (full) test
2: 12 is 15% of what number? A. 0.0125 B. 1.8 C. 18 D. 80 |
D. 80
D. Let n represent the number. If 12 is 15% of n, then 12 = 0.15n. Divide both sides by 0.15. Therefore, n = 80. |
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Mathematics Knowledge - ASVAB (full) test
3: Evaluate 3x + 7 when x = -3. A. -2 B. 10 C. 16 D. 30 |
A. -2
A. Substitute -3 for x. Then 3(-3) + 7 = -9 + 7 = -2. |
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Mathematics Knowledge - ASVAB (full) test
4: Find the diagonal of a square whose area is 36. A. 6 B. 6√2 C. 9 D. 9 √2 |
B. 6√2
B. The area of a square is s2 where s is a side of the square. If s2 = 36, then s = 6. The diagonal of a square forms two right triangles; d is the hypotenuse and the two legs are 6 units long. Using the Pythagorean theorem, d2 = 62 + 62 = 36 + 36 = 72. Therefore, d = √72 = 6√2. |
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Mathematics Knowledge - ASVAB (full) test
5: If a + b = 6, what is the value of 3a + 3b? A. 9 B. 12 C. 18 D. 24 |
C. 18
C. 3a + 3b = 3(a + b). Since a + b = 6, 3a + 3b = 3(6) = 18. |
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Mathematics Knowledge - ASVAB (full) test
6: Find the length of the radius in the following figure. A. 3 B. 4 C. 5 D. 10 |
C. 5
C. The hypotenuse of the triangle is the diameter of the circle. By the Pythagorean theorem, d2 = 62 + 82= 36 + 64 = 100. So d = √100 = 10 and the radius is 10/2=5. |
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Mathematics Knowledge - ASVAB (full) test
7: (3 - 1)×7 - 12 ÷ 2 = A. 1 B. -2 C. 4 D. 8 |
D. 8
D. Following the correct order of operations produces: (3 - 1) × 7 - 12÷2 = 2 × 7 - (12÷2) = 14 - 6 = 8. |
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Mathematics Knowledge - ASVAB (full) test
8: The greatest common factor of 24 and 36 is A. 6 B. 12 C. 36 D. 72 |
B. 12
B. Factors of 24 are 2 × 2 × 2 × 3. Factors of 36 are 2 × 2 × 3 × 3. The greatest common factor is 2 × 2 × 3 = 12. |
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Mathematics Knowledge - ASVAB (full) test
9: Solve for m: 3m - 12 = -6 A. -6 B. 0 C. 2 D. 6 |
C. 2
C. 3m - 12 + 12 = -6 + 12; 3m = 6; Dividing both sides by 3 results in m = 2. |
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Mathematics Knowledge - ASVAB (full) test
10: If 7p + 5q = -3, find q when p = 1. A. -1 B. -2 C. -1.142857143 D. -0.285714286 |
B. -2
B. Substitute 1 for p and solve for q. 7(1) + 5q = -3 and 7 + 5q = -3. 7 + 5q - 7 = -3 - 7 and 5q = -10. Dividing both sides by 5 results in q = -2. |
