ASVAB Arithmetic Reasoning Practice Test 997032 Results

Your Results Global Average
Questions 5 5
Correct 0 3.18
Score 0% 64%

Review

1

Which of these numbers is a factor of 20?

68% Answer Correctly
2
10
14
15

Solution

The factors of a number are all positive integers that divide evenly into the number. The factors of 20 are 1, 2, 4, 5, 10, 20.


2

A triathlon course includes a 300m swim, a 20.6km bike ride, and a 10.8km run. What is the total length of the race course?

69% Answer Correctly
43.1km
31.7km
32km
36.1km

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 + 20.6km + 10.8km
total distance = 31.7km


3

What is 9a7 + 2a7?

66% Answer Correctly
7a-7
11a7
11a49
11a14

Solution

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:

9a7 + 2a7
(9 + 2)a7
11a7


4

What is 8\( \sqrt{5} \) x 8\( \sqrt{9} \)?

41% Answer Correctly
64\( \sqrt{9} \)
16\( \sqrt{9} \)
64\( \sqrt{14} \)
192\( \sqrt{5} \)

Solution

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

8\( \sqrt{5} \) x 8\( \sqrt{9} \)
(8 x 8)\( \sqrt{5 \times 9} \)
64\( \sqrt{45} \)

Now we need to simplify the radical:

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


5

Find the average of the following numbers: 13, 5, 13, 5.

74% Answer Correctly
9
11
10
8

Solution

To find the average of these 4 numbers add them together then divide by 4:

\( \frac{13 + 5 + 13 + 5}{4} \) = \( \frac{36}{4} \) = 9