Mathematics Knowledge ASVAB
questions with verified correct answers
Mathematics Knowledge - ASVAB (full) test
1: If a = 5/2 then 1/a =
A. 2
B. 5
C. 2/5
D. 5/2 - answer C. 2/5
C. Substitute 5/2 for a, giving you 1/a = 1/(5/2) = 1 x 2/5 = 2/5.
Mathematics Knowledge - ASVAB (full) test
2: 12 is 15% of what number?
A. 0.0125
B. 1.8
C. 18
D. 80 - answer 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.
Mathematics Knowledge - ASVAB (full) test
3: Evaluate 3x + 7 when x = -3.
A. -2
B. 10
, C. 16
D. 30 - answer A. -2
A. Substitute -3 for x. Then 3(-3) + 7 = -9 + 7 = -2.
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 - answer 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.
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 - answer C. 18
C. 3a + 3b = 3(a + b). Since a + b = 6, 3a + 3b = 3(6) = 18.
Mathematics Knowledge - ASVAB (full) test
6: Find the length of the radius in the following figure.
questions with verified correct answers
Mathematics Knowledge - ASVAB (full) test
1: If a = 5/2 then 1/a =
A. 2
B. 5
C. 2/5
D. 5/2 - answer C. 2/5
C. Substitute 5/2 for a, giving you 1/a = 1/(5/2) = 1 x 2/5 = 2/5.
Mathematics Knowledge - ASVAB (full) test
2: 12 is 15% of what number?
A. 0.0125
B. 1.8
C. 18
D. 80 - answer 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.
Mathematics Knowledge - ASVAB (full) test
3: Evaluate 3x + 7 when x = -3.
A. -2
B. 10
, C. 16
D. 30 - answer A. -2
A. Substitute -3 for x. Then 3(-3) + 7 = -9 + 7 = -2.
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 - answer 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.
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 - answer C. 18
C. 3a + 3b = 3(a + b). Since a + b = 6, 3a + 3b = 3(6) = 18.
Mathematics Knowledge - ASVAB (full) test
6: Find the length of the radius in the following figure.