ASVAB Arithmetic Reasoning Practice Test 45923 Results

Your Results Global Average
Questions 5 5
Correct 0 3.15
Score 0% 63%

Review

1

What is \( 9 \)\( \sqrt{18} \) - \( 5 \)\( \sqrt{2} \)

38% Answer Correctly
4\( \sqrt{18} \)
4\( \sqrt{-5} \)
4\( \sqrt{36} \)
22\( \sqrt{2} \)

Solution

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

9\( \sqrt{18} \) - 5\( \sqrt{2} \)
9\( \sqrt{9 \times 2} \) - 5\( \sqrt{2} \)
9\( \sqrt{3^2 \times 2} \) - 5\( \sqrt{2} \)
(9)(3)\( \sqrt{2} \) - 5\( \sqrt{2} \)
27\( \sqrt{2} \) - 5\( \sqrt{2} \)

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

27\( \sqrt{2} \) - 5\( \sqrt{2} \)
(27 - 5)\( \sqrt{2} \)
22\( \sqrt{2} \)


2

The __________ is the greatest factor that divides two integers.

67% Answer Correctly

absolute value

greatest common factor

least common multiple

greatest common multiple


Solution

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


3

Find the average of the following numbers: 13, 7, 13, 7.

74% Answer Correctly
11
13
8
10

Solution

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

\( \frac{13 + 7 + 13 + 7}{4} \) = \( \frac{40}{4} \) = 10


4

How many 6-passenger vans will it take to drive all 76 members of the football team to an away game?

80% Answer Correctly
8 vans
5 vans
13 vans
4 vans

Solution

Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:

vans = \( \frac{76}{6} \) = 12\(\frac{2}{3}\)

So, it will take 12 full vans and one partially full van to transport the entire team making a total of 13 vans.


5

52% Answer Correctly
4.9
4.8
1
4.5

Solution


1