ASVAB Arithmetic Reasoning Practice Test 688929 Results

Your Results Global Average
Questions 5 5
Correct 0 3.24
Score 0% 65%

Review

1

Which of these numbers is a factor of 32?

68% Answer Correctly
1
19
6
35

Solution

The factors of a number are all positive integers that divide evenly into the number. The factors of 32 are 1, 2, 4, 8, 16, 32.


2

What is -3c6 x 8c3?

75% Answer Correctly
-24c18
-24c3
5c9
-24c9

Solution

To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:

-3c6 x 8c3
(-3 x 8)c(6 + 3)
-24c9


3

Christine scored 90% on her final exam. If each question was worth 4 points and there were 360 possible points on the exam, how many questions did Christine answer correctly?

57% Answer Correctly
81
88
90
68

Solution

Christine scored 90% on the test meaning she earned 90% of the possible points on the test. There were 360 possible points on the test so she earned 360 x 0.9 = 324 points. Each question is worth 4 points so she got \( \frac{324}{4} \) = 81 questions right.


4

What is \( \frac{1}{9} \) x \( \frac{1}{8} \)?

72% Answer Correctly
\(\frac{8}{35}\)
\(\frac{1}{72}\)
\(\frac{1}{18}\)
\(\frac{1}{9}\)

Solution

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{1}{9} \) x \( \frac{1}{8} \) = \( \frac{1 x 1}{9 x 8} \) = \( \frac{1}{72} \) = \(\frac{1}{72}\)


5

Solve 3 + (2 + 5) ÷ 2 x 3 - 32

52% Answer Correctly
\(\frac{1}{4}\)
1\(\frac{2}{7}\)
1\(\frac{2}{5}\)
4\(\frac{1}{2}\)

Solution

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

3 + (2 + 5) ÷ 2 x 3 - 32
P: 3 + (7) ÷ 2 x 3 - 32
E: 3 + 7 ÷ 2 x 3 - 9
MD: 3 + \( \frac{7}{2} \) x 3 - 9
MD: 3 + \( \frac{21}{2} \) - 9
AS: \( \frac{6}{2} \) + \( \frac{21}{2} \) - 9
AS: \( \frac{27}{2} \) - 9
AS: \( \frac{27 - 18}{2} \)
\( \frac{9}{2} \)
4\(\frac{1}{2}\)