ASVAB Arithmetic Reasoning Practice Test 922740 Results

Your Results Global Average
Questions 5 5
Correct 0 3.56
Score 0% 71%

Review

1

Which of these numbers is a factor of 16?

69% Answer Correctly
11
8
14
2

Solution

The factors of a number are all positive integers that divide evenly into the number. The factors of 16 are 1, 2, 4, 8, 16.


2

How many hours does it take a car to travel 390 miles at an average speed of 65 miles per hour?

86% Answer Correctly
9 hours
6 hours
7 hours
5 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 = \( \frac{390mi}{65mph} \)
6 hours


3

A triathlon course includes a 300m swim, a 20.7km bike ride, and a 12.5km run. What is the total length of the race course?

69% Answer Correctly
66.6km
39.6km
57.2km
33.5km

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 300 meters to kilometers, divide the distance by 1000 to get 0.3km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.3km + 20.7km + 12.5km
total distance = 33.5km


4

Simplify \( \sqrt{45} \)

63% Answer Correctly
2\( \sqrt{5} \)
9\( \sqrt{5} \)
6\( \sqrt{10} \)
3\( \sqrt{5} \)

Solution

To simplify a radical, factor out the perfect squares:

\( \sqrt{45} \)
\( \sqrt{9 \times 5} \)
\( \sqrt{3^2 \times 5} \)
3\( \sqrt{5} \)


5

What is \( \frac{18\sqrt{18}}{6\sqrt{6}} \)?

72% Answer Correctly
\(\frac{1}{3}\) \( \sqrt{\frac{1}{3}} \)
\(\frac{1}{3}\) \( \sqrt{3} \)
3 \( \sqrt{\frac{1}{3}} \)
3 \( \sqrt{3} \)

Solution

To divide terms with radicals, divide the coefficients and radicands separately:

\( \frac{18\sqrt{18}}{6\sqrt{6}} \)
\( \frac{18}{6} \) \( \sqrt{\frac{18}{6}} \)
3 \( \sqrt{3} \)