ASVAB Arithmetic Reasoning Practice Test 251050 Results

Your Results Global Average
Questions 5 5
Correct 0 3.75
Score 0% 75%

Review

1

How many 6-passenger vans will it take to drive all 63 members of the football team to an away game?

80% Answer Correctly
13 vans
12 vans
11 vans
5 vans

Solution

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

vans = \( \frac{63}{6} \) = 10\(\frac{1}{2}\)

So, it will take 10 full vans and one partially full van to transport the entire team making a total of 11 vans.


2

What is -2z3 x 9z3?

75% Answer Correctly
-18z6
-18z0
-18z9
7z9

Solution

To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:

-2z3 x 9z3
(-2 x 9)z(3 + 3)
-18z6


3

Which of the following is an improper fraction?

70% Answer Correctly

\({a \over 5} \)

\(1 {2 \over 5} \)

\({7 \over 5} \)

\({2 \over 5} \)


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 a car travels 120 miles in 2 hours, what is the average speed?

86% Answer Correctly
70 mph
15 mph
45 mph
60 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 = \( \frac{120mi}{2h} \)
60 mph


5

If \(\left|a\right| = 7\), which of the following best describes a?

67% Answer Correctly

none of these is correct

a = 7 or a = -7

a = 7

a = -7


Solution

The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).