ASVAB Arithmetic Reasoning Practice Test 824255 Results

Your Results Global Average
Questions 5 5
Correct 0 3.24
Score 0% 65%

Review

1

How many hours does it take a car to travel 300 miles at an average speed of 50 miles per hour?

85% Answer Correctly
6 hours
8 hours
1 hour
9 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 = \( \frac{300mi}{50mph} \)
6 hours


2

Convert 0.0000321 to scientific notation.

62% Answer Correctly
3.21 x 106
32.1 x 10-6
3.21 x 105
3.21 x 10-5

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:

0.0000321 in scientific notation is 3.21 x 10-5


3

If a mayor is elected with 89% of the votes cast and 52% of a town's 44,000 voters cast a vote, how many votes did the mayor receive?

49% Answer Correctly
20,363
16,245
20,592
20,134

Solution

If 52% of the town's 44,000 voters cast ballots the number of votes cast is:

(\( \frac{52}{100} \)) x 44,000 = \( \frac{2,288,000}{100} \) = 22,880

The mayor got 89% of the votes cast which is:

(\( \frac{89}{100} \)) x 22,880 = \( \frac{2,036,320}{100} \) = 20,363 votes.


4

What is \( \frac{-8c^8}{3c^2} \)?

60% Answer Correctly
-\(\frac{3}{8}\)c6
-2\(\frac{2}{3}\)c-6
-2\(\frac{2}{3}\)c10
-2\(\frac{2}{3}\)c6

Solution

To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:

\( \frac{-8c^8}{3c^2} \)
\( \frac{-8}{3} \) c(8 - 2)
-2\(\frac{2}{3}\)c6


5

Convert a-4 to remove the negative exponent.

67% Answer Correctly
\( \frac{-1}{a^{-4}} \)
\( \frac{-4}{a} \)
\( \frac{-4}{-a} \)
\( \frac{1}{a^4} \)

Solution

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