ASVAB Arithmetic Reasoning Practice Test 186107 Results

Your Results Global Average
Questions 5 5
Correct 0 3.81
Score 0% 76%

Review

1

How many hours does it take a car to travel 30 miles at an average speed of 30 miles per hour?

85% Answer Correctly
5 hours
4 hours
1 hour
7 hours

Solution

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

speed = \( \frac{\text{distance}}{\text{time}} \)

Solving for time:

time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{30mi}{30mph} \)
1 hour


2

What is (y5)5?

80% Answer Correctly
5y5
y10
y0
y25

Solution

To raise a term with an exponent to another exponent, retain the base and multiply the exponents:

(y5)5
y(5 * 5)
y25


3

The __________ is the greatest factor that divides two integers.

67% Answer Correctly

greatest common multiple

absolute value

least common multiple

greatest common factor


Solution

The greatest common factor (GCF) is the greatest factor that divides two integers.


4

Convert y-3 to remove the negative exponent.

67% Answer Correctly
\( \frac{1}{y^{-3}} \)
\( \frac{-3}{y} \)
\( \frac{-1}{-3y^{3}} \)
\( \frac{1}{y^3} \)

Solution

To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.


5

Which of the following is a mixed number?

82% Answer Correctly

\({a \over 5} \)

\({5 \over 7} \)

\({7 \over 5} \)

\(1 {2 \over 5} \)


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.