ASVAB Arithmetic Reasoning Practice Test 57057 Results

Your Results Global Average
Questions 5 5
Correct 0 3.19
Score 0% 64%

Review

1

What is \( \frac{3}{7} \) ÷ \( \frac{3}{6} \)?

68% Answer Correctly
\(\frac{2}{21}\)
\(\frac{1}{12}\)
\(\frac{1}{7}\)
\(\frac{6}{7}\)

Solution

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

\( \frac{3}{7} \) ÷ \( \frac{3}{6} \) = \( \frac{3}{7} \) x \( \frac{6}{3} \)

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

\( \frac{3}{7} \) x \( \frac{6}{3} \) = \( \frac{3 x 6}{7 x 3} \) = \( \frac{18}{21} \) = \(\frac{6}{7}\)


2

A bread recipe calls for 2\(\frac{3}{8}\) cups of flour. If you only have \(\frac{5}{8}\) cup, how much more flour is needed?

62% Answer Correctly
1\(\frac{3}{4}\) cups
\(\frac{3}{4}\) cups
2\(\frac{5}{8}\) cups
2\(\frac{1}{2}\) cups

Solution

The amount of flour you need is (2\(\frac{3}{8}\) - \(\frac{5}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{19}{8} \) - \( \frac{5}{8} \)) cups
\( \frac{14}{8} \) cups
1\(\frac{3}{4}\) cups


3

What is -9y4 - 8y4?

71% Answer Correctly
-y8
-17y4
17y4
17y-4

Solution

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:

-9y4 - 8y4
(-9 - 8)y4
-17y4


4

Which of the following statements about exponents is false?

47% Answer Correctly

all of these are false

b0 = 1

b1 = 1

b1 = b


Solution

A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).


5

Find the average of the following numbers: 18, 12, 16, 14.

74% Answer Correctly
10
15
18
17

Solution

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

\( \frac{18 + 12 + 16 + 14}{4} \) = \( \frac{60}{4} \) = 15