ASVAB Arithmetic Reasoning Practice Test 907572 Results

Your Results Global Average
Questions 5 5
Correct 0 2.84
Score 0% 57%

Review

1

How many 11-passenger vans will it take to drive all 60 members of the football team to an away game?

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

Solution

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

vans = \( \frac{60}{11} \) = 5\(\frac{5}{11}\)

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


2

If there were a total of 450 raffle tickets sold and you bought 13 tickets, what's the probability that you'll win the raffle?

60% Answer Correctly
9%
3%
13%
19%

Solution

You have 13 out of the total of 450 raffle tickets sold so you have a (\( \frac{13}{450} \)) x 100 = \( \frac{13 \times 100}{450} \) = \( \frac{1300}{450} \) = 3% chance to win the raffle.


3

What is \( 4 \)\( \sqrt{80} \) - \( 9 \)\( \sqrt{5} \)

38% Answer Correctly
7\( \sqrt{5} \)
36\( \sqrt{80} \)
36\( \sqrt{16} \)
-5\( \sqrt{5} \)

Solution

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

4\( \sqrt{80} \) - 9\( \sqrt{5} \)
4\( \sqrt{16 \times 5} \) - 9\( \sqrt{5} \)
4\( \sqrt{4^2 \times 5} \) - 9\( \sqrt{5} \)
(4)(4)\( \sqrt{5} \) - 9\( \sqrt{5} \)
16\( \sqrt{5} \) - 9\( \sqrt{5} \)

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

16\( \sqrt{5} \) - 9\( \sqrt{5} \)
(16 - 9)\( \sqrt{5} \)
7\( \sqrt{5} \)


4

How many 1\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 6 gallon tank to fill it exactly halfway?

51% Answer Correctly
4
5
9
2

Solution

To fill a 6 gallon tank exactly halfway you'll need 3 gallons of fuel. Each fuel can holds 1\(\frac{1}{2}\) gallons so:

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


5

A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 3 to 2 and the ratio of baseball to basketball cards is 3 to 1, what is the ratio of football to basketball cards?

53% Answer Correctly
9:4
5:1
1:4
9:2

Solution

The ratio of football cards to baseball cards is 3:2 and the ratio of baseball cards to basketball cards is 3:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 9:6 and the ratio of baseball cards to basketball cards as 6:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 9:6, 6:2 which reduces to 9:2.