ASVAB Arithmetic Reasoning Practice Test 779926 Results

Your Results Global Average
Questions 5 5
Correct 0 3.32
Score 0% 66%

Review

1

Convert 0.0005899 to scientific notation.

62% Answer Correctly
5.899 x 10-5
5.899 x 10-4
5.899 x 10-3
5.899 x 105

Solution

A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:

0.0005899 in scientific notation is 5.899 x 10-4


2

A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 3 to 2 and the ratio of baseball to basketball cards is 3 to 1, what is the ratio of football to basketball cards?

53% Answer Correctly
1:4
9:2
1:1
9:6

Solution

The ratio of football cards to baseball cards is 3:2 and the ratio of baseball cards to basketball cards is 3:1. 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 9:6 and the ratio of baseball cards to basketball cards as 6:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 9:6, 6:2 which reduces to 9:2.


3

Find the average of the following numbers: 17, 9, 16, 10.

74% Answer Correctly
13
10
12
15

Solution

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

\( \frac{17 + 9 + 16 + 10}{4} \) = \( \frac{52}{4} \) = 13


4

In a class of 25 students, 7 are taking German and 8 are taking Spanish. Of the students studying German or Spanish, 4 are taking both courses. How many students are not enrolled in either course?

63% Answer Correctly
25
11
14
23

Solution

The number of students taking German or Spanish is 7 + 8 = 15. Of that group of 15, 4 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 15 - 4 = 11 who are taking at least one language. 25 - 11 = 14 students who are not taking either language.


5

Which of the following is not an integer?

77% Answer Correctly

\({1 \over 2}\)

-1

1

0


Solution

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