ASVAB Arithmetic Reasoning Practice Test 670235 Results

Your Results Global Average
Questions 5 5
Correct 0 3.44
Score 0% 69%

Review

1

What is (b2)4?

79% Answer Correctly
b-2
b6
4b2
b8

Solution

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

(b2)4
b(2 * 4)
b8


2

Convert 9,070,000 to scientific notation.

62% Answer Correctly
0.907 x 107
9.07 x 107
9.07 x 10-5
9.07 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:

9,070,000 in scientific notation is 9.07 x 106


3

Which of these numbers is a factor of 36?

68% Answer Correctly
29
13
18
2

Solution

The factors of a number are all positive integers that divide evenly into the number. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36.


4

Solve 2 + (4 + 2) ÷ 5 x 4 - 32

52% Answer Correctly
-2\(\frac{1}{5}\)
\(\frac{4}{5}\)
2\(\frac{1}{4}\)
1

Solution

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

2 + (4 + 2) ÷ 5 x 4 - 32
P: 2 + (6) ÷ 5 x 4 - 32
E: 2 + 6 ÷ 5 x 4 - 9
MD: 2 + \( \frac{6}{5} \) x 4 - 9
MD: 2 + \( \frac{24}{5} \) - 9
AS: \( \frac{10}{5} \) + \( \frac{24}{5} \) - 9
AS: \( \frac{34}{5} \) - 9
AS: \( \frac{34 - 45}{5} \)
\( \frac{-11}{5} \)
-2\(\frac{1}{5}\)


5

How many hours does it take a car to travel 315 miles at an average speed of 45 miles per hour?

85% Answer Correctly
3 hours
5 hours
4 hours
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 = \( \frac{315mi}{45mph} \)
7 hours