ASVAB Arithmetic Reasoning Practice Test 365035 Results

Your Results Global Average
Questions 5 5
Correct 0 3.33
Score 0% 67%

Review

1

What is the distance in miles of a trip that takes 7 hours at an average speed of 75 miles per hour?

86% Answer Correctly
525 miles
140 miles
320 miles
60 miles

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 distance:

distance = \( \text{speed} \times \text{time} \)
distance = \( 75mph \times 7h \)
525 miles


2

A bread recipe calls for 3\(\frac{1}{4}\) cups of flour. If you only have \(\frac{7}{8}\) cup, how much more flour is needed?

62% Answer Correctly
1\(\frac{3}{8}\) cups
3\(\frac{5}{8}\) cups
2\(\frac{3}{8}\) cups
2\(\frac{1}{2}\) cups

Solution

The amount of flour you need is (3\(\frac{1}{4}\) - \(\frac{7}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{26}{8} \) - \( \frac{7}{8} \)) cups
\( \frac{19}{8} \) cups
2\(\frac{3}{8}\) cups


3

A triathlon course includes a 100m swim, a 50.7km bike ride, and a 12.7km run. What is the total length of the race course?

69% Answer Correctly
48.6km
63.5km
62.3km
57.5km

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 100 meters to kilometers, divide the distance by 1000 to get 0.1km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.1km + 50.7km + 12.7km
total distance = 63.5km


4

If all of a roofing company's 4 workers are required to staff 2 roofing crews, how many workers need to be added during the busy season in order to send 6 complete crews out on jobs?

55% Answer Correctly
8
9
1
2

Solution

In order to find how many additional workers are needed to staff the extra crews you first need to calculate how many workers are on a crew. There are 4 workers at the company now and that's enough to staff 2 crews so there are \( \frac{4}{2} \) = 2 workers on a crew. 6 crews are needed for the busy season which, at 2 workers per crew, means that the roofing company will need 6 x 2 = 12 total workers to staff the crews during the busy season. The company already employs 4 workers so they need to add 12 - 4 = 8 new staff for the busy season.


5

Simplify \( \sqrt{80} \)

62% Answer Correctly
3\( \sqrt{10} \)
4\( \sqrt{5} \)
6\( \sqrt{10} \)
5\( \sqrt{5} \)

Solution

To simplify a radical, factor out the perfect squares:

\( \sqrt{80} \)
\( \sqrt{16 \times 5} \)
\( \sqrt{4^2 \times 5} \)
4\( \sqrt{5} \)