ASVAB Arithmetic Reasoning Practice Test 549384 Results

Your Results Global Average
Questions 5 5
Correct 0 3.40
Score 0% 68%

Review

1

\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?

56% Answer Correctly

distributive property for division

commutative property for multiplication

commutative property for division

distributive property for multiplication


Solution

The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).


2

If there were a total of 300 raffle tickets sold and you bought 6 tickets, what's the probability that you'll win the raffle?

60% Answer Correctly
18%
16%
17%
2%

Solution

You have 6 out of the total of 300 raffle tickets sold so you have a (\( \frac{6}{300} \)) x 100 = \( \frac{6 \times 100}{300} \) = \( \frac{600}{300} \) = 2% chance to win the raffle.


3

How many hours does it take a car to travel 270 miles at an average speed of 45 miles per hour?

86% Answer Correctly
8 hours
6 hours
5 hours
9 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 = \( \frac{270mi}{45mph} \)
6 hours


4

Which of the following is not an integer?

77% Answer Correctly

1

0

-1

\({1 \over 2}\)


Solution

An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.


5

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

60% 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.