ASVAB Arithmetic Reasoning Practice Test 441934 Results

Your Results Global Average
Questions 5 5
Correct 0 3.38
Score 0% 68%

Review

1

What is 6x4 - x4?

71% Answer Correctly
5x4
-5x-4
7x-8
-5x4

Solution

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:

6x4 - 1x4
(6 - 1)x4
5x4


2

How many hours does it take a car to travel 520 miles at an average speed of 65 miles per hour?

85% Answer Correctly
3 hours
8 hours
4 hours
2 hours

Solution

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

speed = \( \frac{\text{distance}}{\text{time}} \)

Solving for time:

time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{520mi}{65mph} \)
8 hours


3

How many 2\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 10 gallon tank to fill it exactly halfway?

52% Answer Correctly
4
9
2
7

Solution

To fill a 10 gallon tank exactly halfway you'll need 5 gallons of fuel. Each fuel can holds 2\(\frac{1}{2}\) gallons so:

cans = \( \frac{5 \text{ gallons}}{2\frac{1}{2} \text{ gallons}} \) = 2


4

How many 16-passenger vans will it take to drive all 88 members of the football team to an away game?

80% Answer Correctly
5 vans
9 vans
11 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 = \( \frac{88}{16} \) = 5\(\frac{1}{2}\)

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


5

A circular logo is enlarged to fit the lid of a jar. The new diameter is 35% larger than the original. By what percentage has the area of the logo increased?

50% Answer Correctly
32\(\frac{1}{2}\)%
27\(\frac{1}{2}\)%
17\(\frac{1}{2}\)%
30%

Solution

The area of a circle is given by the formula A = πr2 where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))2. If the diameter of the logo increases by 35% the radius (and, consequently, the total area) increases by \( \frac{35\text{%}}{2} \) = 17\(\frac{1}{2}\)%