ASVAB Arithmetic Reasoning Practice Test 515713 Results

Your Results Global Average
Questions 5 5
Correct 0 3.68
Score 0% 74%

Review

1

If a car travels 350 miles in 7 hours, what is the average speed?

86% Answer Correctly
75 mph
15 mph
50 mph
55 mph

Solution

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

speed = \( \frac{\text{distance}}{\text{time}} \)
speed = \( \frac{350mi}{7h} \)
50 mph


2

How many 14-passenger vans will it take to drive all 96 members of the football team to an away game?

81% Answer Correctly
6 vans
11 vans
7 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 = \( \frac{96}{14} \) = 6\(\frac{6}{7}\)

So, it will take 6 full vans and one partially full van to transport the entire team making a total of 7 vans.


3

Which of the following is a mixed number?

82% Answer Correctly

\({7 \over 5} \)

\({5 \over 7} \)

\({a \over 5} \)

\(1 {2 \over 5} \)


Solution

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.


4

If the ratio of home fans to visiting fans in a crowd is 3:1 and all 32,000 seats in a stadium are filled, how many home fans are in attendance?

50% Answer Correctly
24,000
22,667
30,000
26,250

Solution

A ratio of 3:1 means that there are 3 home fans for every one visiting fan. So, of every 4 fans, 3 are home fans and \( \frac{3}{4} \) of every fan in the stadium is a home fan:

32,000 fans x \( \frac{3}{4} \) = \( \frac{96000}{4} \) = 24,000 fans.


5

Which of these numbers is a factor of 40?

68% Answer Correctly
40
20
30
33

Solution

The factors of a number are all positive integers that divide evenly into the number. The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40.