ASVAB Arithmetic Reasoning Practice Test 583752 Results

Your Results Global Average
Questions 5 5
Correct 0 3.59
Score 0% 72%

Review

1

If a car travels 120 miles in 8 hours, what is the average speed?

86% Answer Correctly
45 mph
70 mph
15 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 = \( \frac{120mi}{8h} \)
15 mph


2

A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 9 to 2 and the ratio of baseball to basketball cards is 9 to 1, what is the ratio of football to basketball cards?

53% Answer Correctly
1:2
7:4
9:8
81:2

Solution

The ratio of football cards to baseball cards is 9:2 and the ratio of baseball cards to basketball cards is 9:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 81:18 and the ratio of baseball cards to basketball cards as 18:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 81:18, 18:2 which reduces to 81:2.


3

a(b + c) = ab + ac defines which of the following?

74% Answer Correctly

distributive property for division

commutative property for division

distributive property for multiplication

commutative property for multiplication


Solution

The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.


4

Find the average of the following numbers: 18, 10, 17, 11.

74% Answer Correctly
15
19
12
14

Solution

To find the average of these 4 numbers add them together then divide by 4:

\( \frac{18 + 10 + 17 + 11}{4} \) = \( \frac{56}{4} \) = 14


5

Charlie loaned Latoya $700 at an annual interest rate of 9%. If no payments are made, what is the total amount owed at the end of the first year?

71% Answer Correctly
$742
$763
$714
$721

Solution

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = (\( \frac{6}{100} \)) x $700
i = 0.09 x $700

No payments were made so the total amount due is the original amount + the accumulated interest:

total = $700 + $63
total = $763