ASVAB Mathematics Knowledge Test || A+ Practice
Test: Instant Prep, Verified Results!!
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 answers 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 answers 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
D. 10 correct answers 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 answers 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) =
A. -6
B. -¾
C. 1
D. 2 correct answers The correct answer is (C) 1. Remember your order of operations:
Complete operations within parentheses first.
Calculate exponents.
Then multiply and divide in order from left to right.
Then add and subtract in order from left to right.
2 − 8 ÷ (24 ÷ 2) =
2 − 8 ÷ (16 ÷ 2) =
2−8÷8=
2−1=
1
3(x − 4) = 18, what is the value of x?
A. 3/2
B. 22/3
C. 6
D. 10 correct answers The correct answer is (D) 10. Begin by dividing both sides by 3 to
open the parenthesis:
x−4=6
Add 4 to both sides to find x:
x = 10
A scoutmaster is preparing his troop for their annual fishing expedition. He surveys each of
his scouts to find out how many fishing poles they own.
fishing pole owned
What is the mode of this data set?
A. 0
Test: Instant Prep, Verified Results!!
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 answers 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 answers 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
D. 10 correct answers 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 answers 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) =
A. -6
B. -¾
C. 1
D. 2 correct answers The correct answer is (C) 1. Remember your order of operations:
Complete operations within parentheses first.
Calculate exponents.
Then multiply and divide in order from left to right.
Then add and subtract in order from left to right.
2 − 8 ÷ (24 ÷ 2) =
2 − 8 ÷ (16 ÷ 2) =
2−8÷8=
2−1=
1
3(x − 4) = 18, what is the value of x?
A. 3/2
B. 22/3
C. 6
D. 10 correct answers The correct answer is (D) 10. Begin by dividing both sides by 3 to
open the parenthesis:
x−4=6
Add 4 to both sides to find x:
x = 10
A scoutmaster is preparing his troop for their annual fishing expedition. He surveys each of
his scouts to find out how many fishing poles they own.
fishing pole owned
What is the mode of this data set?
A. 0
