ASVAB Arithmetic Reasoning Practice Test 772506 Results

Your Results Global Average
Questions 5 5
Correct 0 3.25
Score 0% 65%

Review

1

On average, the center for a basketball team hits 40% of his shots while a guard on the same team hits 50% of his shots. If the guard takes 30 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?

42% Answer Correctly
38
42
60
27

Solution
If the guard hits 50% of his shots and takes 30 shots he'll make:

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 30 x \( \frac{50}{100} \) = \( \frac{50 x 30}{100} \) = \( \frac{1500}{100} \) = 15 shots

The center makes 40% of his shots so he'll have to take:

shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)

to make as many shots as the guard. Plugging in values for the center gives us:

center shots taken = \( \frac{15}{\frac{40}{100}} \) = 15 x \( \frac{100}{40} \) = \( \frac{15 x 100}{40} \) = \( \frac{1500}{40} \) = 38 shots

to make the same number of shots as the guard and thus score the same number of points.


2

A triathlon course includes a 400m swim, a 50.8km bike ride, and a 15.9km run. What is the total length of the race course?

69% Answer Correctly
67.1km
39.9km
42.8km
36.2km

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 400 meters to kilometers, divide the distance by 1000 to get 0.4km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.4km + 50.8km + 15.9km
total distance = 67.1km


3

53% Answer Correctly
1.2
7.0
1
0.6

Solution


1


4

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

78% Answer Correctly

integer

fraction

improper fraction

mixed number


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.


5

What is the greatest common factor of 28 and 40?

77% Answer Correctly
4
28
12
20

Solution

The factors of 28 are [1, 2, 4, 7, 14, 28] and the factors of 40 are [1, 2, 4, 5, 8, 10, 20, 40]. They share 3 factors [1, 2, 4] making 4 the greatest factor 28 and 40 have in common.