ASVAB MATHEMATICS KNOWLEDGE TEST QUESTIONS AND ANSWERS WITH SOLUTIONS 2024

ASVAB MATHEMATICS KNOWLEDGE
TEST QUESTIONS AND ANSWERS WITH
SOLUTIONS 2024
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 - 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 - 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

D. 10 - 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 - 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: