ASVAB Arithmetic Reasoning Practice Test 834509 Results

Your Results Global Average
Questions 5 5
Correct 0 3.28
Score 0% 66%

Review

1

Solve 3 + (3 + 3) ÷ 2 x 5 - 32

52% Answer Correctly
\(\frac{8}{9}\)
1\(\frac{1}{3}\)
9
\(\frac{3}{4}\)

Solution

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

3 + (3 + 3) ÷ 2 x 5 - 32
P: 3 + (6) ÷ 2 x 5 - 32
E: 3 + 6 ÷ 2 x 5 - 9
MD: 3 + \( \frac{6}{2} \) x 5 - 9
MD: 3 + \( \frac{30}{2} \) - 9
AS: \( \frac{6}{2} \) + \( \frac{30}{2} \) - 9
AS: \( \frac{36}{2} \) - 9
AS: \( \frac{36 - 18}{2} \)
\( \frac{18}{2} \)
9


2

Which of these numbers is a factor of 36?

68% Answer Correctly
10
2
18
17

Solution

The factors of a number are all positive integers that divide evenly into the number. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36.


3

What is \( \sqrt{\frac{9}{81}} \)?

70% Answer Correctly
\(\frac{1}{3}\)
1\(\frac{2}{7}\)
1\(\frac{1}{7}\)
\(\frac{8}{9}\)

Solution

To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

\( \sqrt{\frac{9}{81}} \)
\( \frac{\sqrt{9}}{\sqrt{81}} \)
\( \frac{\sqrt{3^2}}{\sqrt{9^2}} \)
\(\frac{1}{3}\)


4

What is \( \frac{-1z^6}{3z^3} \)?

60% Answer Correctly
-\(\frac{1}{3}\)z2
-\(\frac{1}{3}\)z3
-\(\frac{1}{3}\)z18
-3z-3

Solution

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

\( \frac{-z^6}{3z^3} \)
\( \frac{-1}{3} \) z(6 - 3)
-\(\frac{1}{3}\)z3


5

A factor is a positive __________ that divides evenly into a given number.

78% Answer Correctly

improper fraction

mixed number

fraction

integer


Solution

A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.