ASVAB Mathematics Knowledge Test
Vision a box...
Side box 5cm
bottom right long side 4 cm
front bottom short side 3cm
The volume of this box is
A. 12 cm 3
B. 15 cm 3
C. 20 cm 3
D. 60 cm3 - correct answer The correct answer is (D) 60 cm3. The volume of a cubic rectangle is length x
width x height:
3 x 4 x 5 = 60
If n is a positive integer divisible by 7, and if n < 70, what is the greatest possible value of n?
A. 49
B. 56
C. 63
D. 69 - correct answer The correct answer is (C) 63. If you know one multiple of a number, you can find
the other multiples by adding and subtracting that number. The number 70 is divisible by 7. The greatest
multiple that is less than 70 will be 70 − 7 = 63.
Blair's average (arithmetic mean) on two physics tests is 7. What should Blair's score be on the next test
to have an overall average of 8 for all the tests?
A. 7
B. 8
C. 9
, ASVAB Mathematics Knowledge Test
D. 10 - correct answer The correct answer is (D) 10. The arithmetic mean is defined as the sum of the
terms divided by the number of terms.
7 = sum / 2
14 = sum
Adding the next test's score will change the average to an 8, and the total terms to 3.
8 = (14 + new score) / 3
24 = 14 + new score
10 = new score
(4x + 2) (x + 1) =
A. 5x + 3
B. 4x2 + 6x + 2
C. 4x + 2x + 2
D. 4x2 + 2 - correct answer The correct answer is (B) 4x2 + 6x + 2
. This is a multiplying binomials problem. Multiply the first term in the first binomial by both terms in the
second binomial:
4x2 + 4x
Then multiply the second term in the first binomial by each term in the second binomial:
2x + 2
Adding them all together you get:
4x2 + 4x + 2x + 2
4x2 + 6x + 2
2 − 8 ÷ (24 ÷ 2) =
Vision a box...
Side box 5cm
bottom right long side 4 cm
front bottom short side 3cm
The volume of this box is
A. 12 cm 3
B. 15 cm 3
C. 20 cm 3
D. 60 cm3 - correct answer The correct answer is (D) 60 cm3. The volume of a cubic rectangle is length x
width x height:
3 x 4 x 5 = 60
If n is a positive integer divisible by 7, and if n < 70, what is the greatest possible value of n?
A. 49
B. 56
C. 63
D. 69 - correct answer The correct answer is (C) 63. If you know one multiple of a number, you can find
the other multiples by adding and subtracting that number. The number 70 is divisible by 7. The greatest
multiple that is less than 70 will be 70 − 7 = 63.
Blair's average (arithmetic mean) on two physics tests is 7. What should Blair's score be on the next test
to have an overall average of 8 for all the tests?
A. 7
B. 8
C. 9
, ASVAB Mathematics Knowledge Test
D. 10 - correct answer The correct answer is (D) 10. The arithmetic mean is defined as the sum of the
terms divided by the number of terms.
7 = sum / 2
14 = sum
Adding the next test's score will change the average to an 8, and the total terms to 3.
8 = (14 + new score) / 3
24 = 14 + new score
10 = new score
(4x + 2) (x + 1) =
A. 5x + 3
B. 4x2 + 6x + 2
C. 4x + 2x + 2
D. 4x2 + 2 - correct answer The correct answer is (B) 4x2 + 6x + 2
. This is a multiplying binomials problem. Multiply the first term in the first binomial by both terms in the
second binomial:
4x2 + 4x
Then multiply the second term in the first binomial by each term in the second binomial:
2x + 2
Adding them all together you get:
4x2 + 4x + 2x + 2
4x2 + 6x + 2
2 − 8 ÷ (24 ÷ 2) =
