ASVAB Arithmetic Reasoning Practice Test 606585 Results

Your Results Global Average
Questions 5 5
Correct 0 3.03
Score 0% 61%

Review

1

How many 1\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 9 gallon tank to fill it exactly halfway?

52% Answer Correctly
6
3
57
2

Solution

To fill a 9 gallon tank exactly halfway you'll need 4\(\frac{1}{2}\) gallons of fuel. Each fuel can holds 1\(\frac{1}{2}\) gallons so:

cans = \( \frac{4\frac{1}{2} \text{ gallons}}{1\frac{1}{2} \text{ gallons}} \) = 3


2

How many 10-passenger vans will it take to drive all 51 members of the football team to an away game?

81% Answer Correctly
7 vans
10 vans
6 vans
9 vans

Solution

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

vans = \( \frac{51}{10} \) = 5\(\frac{1}{10}\)

So, it will take 5 full vans and one partially full van to transport the entire team making a total of 6 vans.


3

This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.

60% Answer Correctly

PEDMAS

distributive

associative

commutative


Solution

The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.


4

What is \( 4 \)\( \sqrt{125} \) + \( 3 \)\( \sqrt{5} \)

35% Answer Correctly
12\( \sqrt{625} \)
12\( \sqrt{125} \)
23\( \sqrt{5} \)
7\( \sqrt{625} \)

Solution

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

4\( \sqrt{125} \) + 3\( \sqrt{5} \)
4\( \sqrt{25 \times 5} \) + 3\( \sqrt{5} \)
4\( \sqrt{5^2 \times 5} \) + 3\( \sqrt{5} \)
(4)(5)\( \sqrt{5} \) + 3\( \sqrt{5} \)
20\( \sqrt{5} \) + 3\( \sqrt{5} \)

Now that the radicands are identical, you can add them together:

20\( \sqrt{5} \) + 3\( \sqrt{5} \)
(20 + 3)\( \sqrt{5} \)
23\( \sqrt{5} \)


5

21 members of a bridal party need transported to a wedding reception but there are only 4 4-passenger taxis available to take them. How many will need to find other transportation?

75% Answer Correctly
3
4
5
1

Solution

There are 4 4-passenger taxis available so that's 4 x 4 = 16 total seats. There are 21 people needing transportation leaving 21 - 16 = 5 who will have to find other transportation.