ASVAB Arithmetic Reasoning Practice Test 227621 Results

Your Results Global Average
Questions 5 5
Correct 0 3.65
Score 0% 73%

Review

1

What is \( \frac{3}{9} \) x \( \frac{2}{7} \)?

72% Answer Correctly
\(\frac{4}{25}\)
\(\frac{6}{7}\)
\(\frac{2}{21}\)
\(\frac{4}{27}\)

Solution

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

\( \frac{3}{9} \) x \( \frac{2}{7} \) = \( \frac{3 x 2}{9 x 7} \) = \( \frac{6}{63} \) = \(\frac{2}{21}\)


2

Simplify \( \sqrt{48} \)

62% Answer Correctly
9\( \sqrt{3} \)
5\( \sqrt{3} \)
3\( \sqrt{6} \)
4\( \sqrt{3} \)

Solution

To simplify a radical, factor out the perfect squares:

\( \sqrt{48} \)
\( \sqrt{16 \times 3} \)
\( \sqrt{4^2 \times 3} \)
4\( \sqrt{3} \)


3

What is \( \frac{4}{7} \) ÷ \( \frac{1}{8} \)?

68% Answer Correctly
\(\frac{1}{49}\)
\(\frac{3}{16}\)
4\(\frac{4}{7}\)
\(\frac{1}{8}\)

Solution

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

\( \frac{4}{7} \) ÷ \( \frac{1}{8} \) = \( \frac{4}{7} \) x \( \frac{8}{1} \)

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

\( \frac{4}{7} \) x \( \frac{8}{1} \) = \( \frac{4 x 8}{7 x 1} \) = \( \frac{32}{7} \) = 4\(\frac{4}{7}\)


4

4! = ?

84% Answer Correctly

4 x 3

3 x 2 x 1

5 x 4 x 3 x 2 x 1

4 x 3 x 2 x 1


Solution

A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.


5

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

78% Answer Correctly

improper fraction

mixed number

integer

fraction


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.