ASVAB Arithmetic Reasoning Practice Test 347726 Results

Your Results Global Average
Questions 5 5
Correct 0 3.10
Score 0% 62%

Review

1

What is \( 6 \)\( \sqrt{112} \) - \( 7 \)\( \sqrt{7} \)

38% Answer Correctly
17\( \sqrt{7} \)
-1\( \sqrt{112} \)
-1\( \sqrt{33} \)
-1\( \sqrt{7} \)

Solution

To subtract these radicals together their radicands must be the same:

6\( \sqrt{112} \) - 7\( \sqrt{7} \)
6\( \sqrt{16 \times 7} \) - 7\( \sqrt{7} \)
6\( \sqrt{4^2 \times 7} \) - 7\( \sqrt{7} \)
(6)(4)\( \sqrt{7} \) - 7\( \sqrt{7} \)
24\( \sqrt{7} \) - 7\( \sqrt{7} \)

Now that the radicands are identical, you can subtract them:

24\( \sqrt{7} \) - 7\( \sqrt{7} \)
(24 - 7)\( \sqrt{7} \)
17\( \sqrt{7} \)


2

A triathlon course includes a 300m swim, a 50.1km bike ride, and a 7.5km run. What is the total length of the race course?

69% Answer Correctly
25.7km
57.9km
24.9km
63.1km

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 + 50.1km + 7.5km
total distance = 57.9km


3

Which of the following is not a prime number?

64% Answer Correctly

2

5

9

7


Solution

A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.


4

The __________ is the greatest factor that divides two integers.

67% Answer Correctly

least common multiple

greatest common factor

absolute value

greatest common multiple


Solution

The greatest common factor (GCF) is the greatest factor that divides two integers.


5

What is \( \sqrt{\frac{64}{81}} \)?

70% Answer Correctly
1\(\frac{2}{5}\)
\(\frac{3}{5}\)
1\(\frac{1}{5}\)
\(\frac{8}{9}\)

Solution

To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

\( \sqrt{\frac{64}{81}} \)
\( \frac{\sqrt{64}}{\sqrt{81}} \)
\( \frac{\sqrt{8^2}}{\sqrt{9^2}} \)
\(\frac{8}{9}\)