ASVAB Arithmetic Reasoning Practice Test 479939 Results

Your Results Global Average
Questions 5 5
Correct 0 3.54
Score 0% 71%

Review

1

What is \( \sqrt{\frac{49}{25}} \)?

70% Answer Correctly
1\(\frac{1}{2}\)
1
1\(\frac{2}{5}\)
1\(\frac{2}{7}\)

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:

\( \sqrt{\frac{49}{25}} \)
\( \frac{\sqrt{49}}{\sqrt{25}} \)
\( \frac{\sqrt{7^2}}{\sqrt{5^2}} \)
\( \frac{7}{5} \)
1\(\frac{2}{5}\)


2

Find the average of the following numbers: 10, 8, 13, 5.

75% Answer Correctly
12
4
13
9

Solution

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

\( \frac{10 + 8 + 13 + 5}{4} \) = \( \frac{36}{4} \) = 9


3

Simplify \( \sqrt{18} \)

62% Answer Correctly
3\( \sqrt{2} \)
8\( \sqrt{4} \)
9\( \sqrt{4} \)
6\( \sqrt{2} \)

Solution

To simplify a radical, factor out the perfect squares:

\( \sqrt{18} \)
\( \sqrt{9 \times 2} \)
\( \sqrt{3^2 \times 2} \)
3\( \sqrt{2} \)


4

A bread recipe calls for 1\(\frac{7}{8}\) cups of flour. If you only have 1\(\frac{1}{4}\) cups, how much more flour is needed?

62% Answer Correctly
1\(\frac{3}{8}\) cups
\(\frac{7}{8}\) cups
\(\frac{5}{8}\) cups
1\(\frac{7}{8}\) cups

Solution

The amount of flour you need is (1\(\frac{7}{8}\) - 1\(\frac{1}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{15}{8} \) - \( \frac{10}{8} \)) cups
\( \frac{5}{8} \) cups
\(\frac{5}{8}\) cups


5

Which of the following is a mixed number?

83% Answer Correctly

\(1 {2 \over 5} \)

\({7 \over 5} \)

\({a \over 5} \)

\({5 \over 7} \)


Solution

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.