ASVAB Arithmetic Reasoning Practice Test 684832 Results

Your Results Global Average
Questions 5 5
Correct 0 3.28
Score 0% 66%

Review

1

What is the greatest common factor of 20 and 56?

77% Answer Correctly
16
3
9
4

Solution

The factors of 20 are [1, 2, 4, 5, 10, 20] and the factors of 56 are [1, 2, 4, 7, 8, 14, 28, 56]. They share 3 factors [1, 2, 4] making 4 the greatest factor 20 and 56 have in common.


2

Convert a-2 to remove the negative exponent.

68% Answer Correctly
\( \frac{-2}{a} \)
\( \frac{1}{a^{-2}} \)
\( \frac{1}{a^2} \)
\( \frac{-1}{-2a^{2}} \)

Solution

To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.


3

Convert 0.0008737 to scientific notation.

63% Answer Correctly
8.737 x 10-5
8.737 x 105
87.37 x 10-5
8.737 x 10-4

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:

0.0008737 in scientific notation is 8.737 x 10-4


4

A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 5 to 2 and the ratio of baseball to basketball cards is 5 to 1, what is the ratio of football to basketball cards?

53% Answer Correctly
9:8
3:1
1:4
25:2

Solution

The ratio of football cards to baseball cards is 5:2 and the ratio of baseball cards to basketball cards is 5:1. 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 25:10 and the ratio of baseball cards to basketball cards as 10:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 25:10, 10:2 which reduces to 25:2.


5

Which of the following is not a prime number?

65% Answer Correctly

7

2

9

5


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.