ASVAB Arithmetic Reasoning Practice Test 257932 Results

Your Results Global Average
Questions 5 5
Correct 0 3.60
Score 0% 72%

Review

1

Convert 5,660,000 to scientific notation.

62% Answer Correctly
56.6 x 105
5.66 x 106
5.66 x 107
5.66 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:

5,660,000 in scientific notation is 5.66 x 106


2

What is the greatest common factor of 48 and 44?

77% Answer Correctly
41
44
14
4

Solution

The factors of 48 are [1, 2, 3, 4, 6, 8, 12, 16, 24, 48] and the factors of 44 are [1, 2, 4, 11, 22, 44]. They share 3 factors [1, 2, 4] making 4 the greatest factor 48 and 44 have in common.


3

Which of the following is a mixed number?

82% Answer Correctly

\({a \over 5} \)

\({7 \over 5} \)

\(1 {2 \over 5} \)

\({5 \over 7} \)


Solution

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.


4

Simplify \( \sqrt{80} \)

62% Answer Correctly
4\( \sqrt{10} \)
5\( \sqrt{10} \)
6\( \sqrt{10} \)
4\( \sqrt{5} \)

Solution

To simplify a radical, factor out the perfect squares:

\( \sqrt{80} \)
\( \sqrt{16 \times 5} \)
\( \sqrt{4^2 \times 5} \)
4\( \sqrt{5} \)


5

Find the average of the following numbers: 11, 9, 14, 6.

74% Answer Correctly
8
6
12
10

Solution

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

\( \frac{11 + 9 + 14 + 6}{4} \) = \( \frac{40}{4} \) = 10