ASVAB Arithmetic Reasoning Practice Test 126709 Results

Your Results Global Average
Questions 5 5
Correct 0 3.11
Score 0% 62%

Review

1

How many 2 gallon cans worth of fuel would you need to pour into an empty 8 gallon tank to fill it exactly halfway?

52% Answer Correctly
6
4
5
2
Solution

To fill a 8 gallon tank exactly halfway you'll need 4 gallons of fuel. Each fuel can holds 2 gallons so:

cans = \( \frac{4 \text{ gallons}}{2 \text{ gallons}} \) = 2

2

A factor is a positive __________ that divides evenly into a given number.

78% Answer Correctly

mixed number

fraction

integer

improper fraction
Solution

A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.

3

Solve 5 + (5 + 2) ÷ 3 x 2 - 32

53% Answer Correctly
2\(\frac{2}{3}\)
\(\frac{8}{9}\)
1\(\frac{1}{2}\)
\(\frac{2}{3}\)
Solution

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

5 + (5 + 2) ÷ 3 x 2 - 32
P: 5 + (7) ÷ 3 x 2 - 32
E: 5 + 7 ÷ 3 x 2 - 9
MD: 5 + \( \frac{7}{3} \) x 2 - 9
MD: 5 + \( \frac{14}{3} \) - 9
AS: \( \frac{15}{3} \) + \( \frac{14}{3} \) - 9
AS: \( \frac{29}{3} \) - 9
AS: \( \frac{29 - 27}{3} \)
\( \frac{2}{3} \)
\(\frac{2}{3}\)

4

The total water usage for a city is 15,000 gallons each day. Of that total, 17% is for personal use and 50% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?

58% Answer Correctly
4,950
10,200
8,100
6,600
Solution

50% of the water consumption is industrial use and 17% is personal use so (50% - 17%) = 33% more water is used for industrial purposes. 15,000 gallons are consumed daily so industry consumes \( \frac{33}{100} \) x 15,000 gallons = 4,950 gallons.

5

A triathlon course includes a 300m swim, a 50.3km bike ride, and a 11.3km run. What is the total length of the race course?

69% Answer Correctly
31.5km
61.9km
37.5km
31.7km
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 + 50.3km + 11.3km
total distance = 61.9km