ASVAB Arithmetic Reasoning Practice Test 204126 Results

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

Review

1

Find the average of the following numbers: 16, 12, 15, 13.

75% Answer Correctly
11
18
19
14

Solution

To find the average of these 4 numbers add them together then divide by 4:

\( \frac{16 + 12 + 15 + 13}{4} \) = \( \frac{56}{4} \) = 14


2

A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 3 to 2 and the ratio of baseball to basketball cards is 3 to 1, what is the ratio of football to basketball cards?

53% Answer Correctly
3:8
7:4
1:6
9:2

Solution

The ratio of football cards to baseball cards is 3:2 and the ratio of baseball cards to basketball cards is 3:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 9:6 and the ratio of baseball cards to basketball cards as 6:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 9:6, 6:2 which reduces to 9:2.


3

What is \( \frac{-4z^8}{2z^2} \)?

60% Answer Correctly
-2z6
-\(\frac{1}{2}\)z6
-2z\(\frac{1}{4}\)
-2z16

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:

\( \frac{-4z^8}{2z^2} \)
\( \frac{-4}{2} \) z(8 - 2)
-2z6


4

What is \( \frac{1}{7} \) ÷ \( \frac{3}{5} \)?

68% Answer Correctly
\(\frac{1}{14}\)
\(\frac{2}{35}\)
\(\frac{1}{8}\)
\(\frac{5}{21}\)

Solution

To divide fractions, invert the second fraction and then multiply:

\( \frac{1}{7} \) ÷ \( \frac{3}{5} \) = \( \frac{1}{7} \) x \( \frac{5}{3} \)

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

\( \frac{1}{7} \) x \( \frac{5}{3} \) = \( \frac{1 x 5}{7 x 3} \) = \( \frac{5}{21} \) = \(\frac{5}{21}\)


5

If \(\left|a\right| = 7\), which of the following best describes a?

67% Answer Correctly

a = 7

a = -7

none of these is correct

a = 7 or a = -7


Solution

The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).