ASVAB Arithmetic Reasoning Practice Test 246303 Results

Your Results Global Average
Questions 5 5
Correct 0 3.27
Score 0% 65%

Review

1

If there were a total of 100 raffle tickets sold and you bought 3 tickets, what's the probability that you'll win the raffle?

60% Answer Correctly
3%
19%
2%
7%

Solution

You have 3 out of the total of 100 raffle tickets sold so you have a (\( \frac{3}{100} \)) x 100 = \( \frac{3 \times 100}{100} \) = \( \frac{300}{100} \) = 3% chance to win the raffle.


2

How many 15-passenger vans will it take to drive all 61 members of the football team to an away game?

81% Answer Correctly
5 vans
8 vans
4 vans
3 vans

Solution

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

vans = \( \frac{61}{15} \) = 4\(\frac{1}{15}\)

So, it will take 4 full vans and one partially full van to transport the entire team making a total of 5 vans.


3

A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 9 to 2 and the ratio of baseball to basketball cards is 9 to 1, what is the ratio of football to basketball cards?

53% Answer Correctly
9:6
7:6
3:2
81:2

Solution

The ratio of football cards to baseball cards is 9:2 and the ratio of baseball cards to basketball cards is 9:1. 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 81:18 and the ratio of baseball cards to basketball cards as 18:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 81:18, 18:2 which reduces to 81:2.


4

A triathlon course includes a 300m swim, a 40.4km bike ride, and a 13.4km run. What is the total length of the race course?

69% Answer Correctly
54.1km
36.8km
55.7km
51.7km

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 + 40.4km + 13.4km
total distance = 54.1km


5

In a class of 31 students, 12 are taking German and 10 are taking Spanish. Of the students studying German or Spanish, 5 are taking both courses. How many students are not enrolled in either course?

63% Answer Correctly
13
14
27
11

Solution

The number of students taking German or Spanish is 12 + 10 = 22. Of that group of 22, 5 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 22 - 5 = 17 who are taking at least one language. 31 - 17 = 14 students who are not taking either language.