ASVAB Arithmetic Reasoning Practice Test 905502 Results

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

Review

1

53% Answer Correctly
3.6
1
2.5
1.6

Solution


1


2

A bread recipe calls for 2\(\frac{1}{4}\) cups of flour. If you only have \(\frac{5}{8}\) cup, how much more flour is needed?

62% Answer Correctly
1\(\frac{5}{8}\) cups
1\(\frac{7}{8}\) cups
2\(\frac{1}{2}\) cups
3\(\frac{5}{8}\) cups

Solution

The amount of flour you need is (2\(\frac{1}{4}\) - \(\frac{5}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{18}{8} \) - \( \frac{5}{8} \)) cups
\( \frac{13}{8} \) cups
1\(\frac{5}{8}\) cups


3

Convert 0.0000443 to scientific notation.

63% Answer Correctly
44.3 x 10-6
4.43 x 10-4
0.443 x 10-4
4.43 x 10-5

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:

0.0000443 in scientific notation is 4.43 x 10-5


4

Simplify \( \frac{28}{72} \).

78% Answer Correctly
\( \frac{7}{18} \)
\( \frac{1}{3} \)
\( \frac{8}{15} \)
\( \frac{9}{19} \)

Solution

To simplify this fraction, first find the greatest common factor between them. The factors of 28 are [1, 2, 4, 7, 14, 28] and the factors of 72 are [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).

Next, divide both numerator and denominator by the GCF:

\( \frac{28}{72} \) = \( \frac{\frac{28}{4}}{\frac{72}{4}} \) = \( \frac{7}{18} \)


5

Charlie loaned Alex $1,400 at an annual interest rate of 9%. If no payments are made, what is the interest owed on this loan at the end of the first year?

74% Answer Correctly
$126
$91
$72
$40

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 $1,400
i = 0.09 x $1,400
i = $126