ASVAB Arithmetic Reasoning Practice Test 401553 Results

Your Results Global Average
Questions 5 5
Correct 0 3.16
Score 0% 63%

Review

1

If a car travels 480 miles in 8 hours, what is the average speed?

86% Answer Correctly
35 mph
65 mph
60 mph
30 mph

Solution

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

speed = \( \frac{\text{distance}}{\text{time}} \)
speed = \( \frac{480mi}{8h} \)
60 mph


2

A triathlon course includes a 200m swim, a 50.5km bike ride, and a 5.6km run. What is the total length of the race course?

69% Answer Correctly
51km
41.8km
56.3km
59.4km

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 200 meters to kilometers, divide the distance by 1000 to get 0.2km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.2km + 50.5km + 5.6km
total distance = 56.3km


3

Which of the following statements about exponents is false?

47% Answer Correctly

all of these are false

b1 = 1

b0 = 1

b1 = b


Solution

A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).


4

A machine in a factory has an error rate of 2 parts per 100. The machine normally runs 24 hours a day and produces 9 parts per hour. Yesterday the machine was shut down for 8 hours for maintenance.

How many error-free parts did the machine produce yesterday?

49% Answer Correctly
107.5
118.4
141.1
169

Solution

The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:

\( \frac{2}{100} \) x 9 = \( \frac{2 \times 9}{100} \) = \( \frac{18}{100} \) = 0.18 errors per hour

So, in an average hour, the machine will produce 9 - 0.18 = 8.82 error free parts.

The machine ran for 24 - 8 = 16 hours yesterday so you would expect that 16 x 8.82 = 141.1 error free parts were produced yesterday.


5

What is \( \frac{2}{9} \) ÷ \( \frac{3}{6} \)?

68% Answer Correctly
4
\(\frac{1}{14}\)
\(\frac{4}{9}\)
\(\frac{2}{63}\)

Solution

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

\( \frac{2}{9} \) ÷ \( \frac{3}{6} \) = \( \frac{2}{9} \) x \( \frac{6}{3} \)

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

\( \frac{2}{9} \) x \( \frac{6}{3} \) = \( \frac{2 x 6}{9 x 3} \) = \( \frac{12}{27} \) = \(\frac{4}{9}\)