ASVAB Arithmetic Reasoning Practice Test 670808 Results

Your Results Global Average
Questions 5 5
Correct 0 3.46
Score 0% 69%

Review

1

Convert 2,226,000 to scientific notation.

62% Answer Correctly
22.26 x 105
2.226 x 105
2.226 x 10-6
2.226 x 106

Solution

A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:

2,226,000 in scientific notation is 2.226 x 106


2

What is \( \frac{2}{8} \) ÷ \( \frac{3}{8} \)?

68% Answer Correctly
\(\frac{4}{35}\)
\(\frac{2}{3}\)
\(\frac{4}{45}\)
5\(\frac{1}{3}\)

Solution

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

\( \frac{2}{8} \) ÷ \( \frac{3}{8} \) = \( \frac{2}{8} \) x \( \frac{8}{3} \)

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

\( \frac{2}{8} \) x \( \frac{8}{3} \) = \( \frac{2 x 8}{8 x 3} \) = \( \frac{16}{24} \) = \(\frac{2}{3}\)


3

Convert z-3 to remove the negative exponent.

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

Solution

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


4

How many hours does it take a car to travel 135 miles at an average speed of 15 miles per hour?

85% Answer Correctly
1 hour
9 hours
7 hours
4 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 = \( \frac{135mi}{15mph} \)
9 hours


5

Which of the following is not a prime number?

65% Answer Correctly

5

7

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.