ASVAB Arithmetic Reasoning Practice Test 384058 Results

Your Results Global Average
Questions 5 5
Correct 0 3.64
Score 0% 73%

Review

1

A triathlon course includes a 500m swim, a 30.9km bike ride, and a 13.9km run. What is the total length of the race course?

69% Answer Correctly
65.4km
42.3km
36.7km
45.3km

Solution

To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 500 meters to kilometers, divide the distance by 1000 to get 0.5km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.5km + 30.9km + 13.9km
total distance = 45.3km


2

Which of the following is a mixed number?

83% Answer Correctly

\(1 {2 \over 5} \)

\({5 \over 7} \)

\({a \over 5} \)

\({7 \over 5} \)


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.


3

What is \( \sqrt{\frac{16}{64}} \)?

70% Answer Correctly
\(\frac{1}{2}\)
1\(\frac{1}{6}\)
\(\frac{2}{5}\)
\(\frac{2}{3}\)

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:

\( \sqrt{\frac{16}{64}} \)
\( \frac{\sqrt{16}}{\sqrt{64}} \)
\( \frac{\sqrt{4^2}}{\sqrt{8^2}} \)
\(\frac{1}{2}\)


4

Which of the following is not an integer?

78% Answer Correctly

\({1 \over 2}\)

-1

1

0


Solution

An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.


5

Simplify \( \sqrt{75} \)

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

Solution

To simplify a radical, factor out the perfect squares:

\( \sqrt{75} \)
\( \sqrt{25 \times 3} \)
\( \sqrt{5^2 \times 3} \)
5\( \sqrt{3} \)