ASVAB Arithmetic Reasoning Practice Test 611162 Results

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

Review

1

Which of the following is not a prime number?

64% Answer Correctly

5

2

7

9


Solution

A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.


2

How many hours does it take a car to travel 80 miles at an average speed of 20 miles per hour?

85% Answer Correctly
4 hours
2 hours
5 hours
6 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 = \( \frac{80mi}{20mph} \)
4 hours


3

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
15%
30%
17\(\frac{1}{2}\)%
27\(\frac{1}{2}\)%

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\(\frac{1}{2}\)%


4

What is (x4)5?

79% Answer Correctly
x9
x20
x-1
5x4

Solution

To raise a term with an exponent to another exponent, retain the base and multiply the exponents:

(x4)5
x(4 * 5)
x20


5

This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.

59% Answer Correctly

associative

distributive

PEDMAS

commutative


Solution

The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.