ASVAB Arithmetic Reasoning Practice Test 338700 Results

Your Results Global Average
Questions 5 5
Correct 0 3.44
Score 0% 69%

Review

1

What is \( \frac{1}{6} \) x \( \frac{4}{9} \)?

72% Answer Correctly
\(\frac{2}{27}\)
\(\frac{1}{7}\)
\(\frac{3}{20}\)
\(\frac{1}{81}\)

Solution

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

\( \frac{1}{6} \) x \( \frac{4}{9} \) = \( \frac{1 x 4}{6 x 9} \) = \( \frac{4}{54} \) = \(\frac{2}{27}\)


2

Solve for \( \frac{5!}{4!} \)

66% Answer Correctly
5
3024
6720
30

Solution

A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:

\( \frac{5!}{4!} \)
\( \frac{5 \times 4 \times 3 \times 2 \times 1}{4 \times 3 \times 2 \times 1} \)
\( \frac{5}{1} \)
5


3

Which of the following is not a prime number?

64% Answer Correctly

7

5

2

9


Solution

A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.


4

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

78% Answer Correctly

improper fraction

fraction

mixed number

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.


5

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\(\frac{1}{8}\) cups
1\(\frac{3}{4}\) cups
1\(\frac{5}{8}\) cups
2\(\frac{3}{4}\) 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