ASVAB Arithmetic Reasoning Practice Test 894190 Results

Your Results Global Average
Questions 5 5
Correct 0 3.61
Score 0% 72%

Review

1

What is the distance in miles of a trip that takes 7 hours at an average speed of 55 miles per hour?

87% Answer Correctly
110 miles
200 miles
385 miles
540 miles

Solution

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

speed = \( \frac{\text{distance}}{\text{time}} \)

Solving for distance:

distance = \( \text{speed} \times \text{time} \)
distance = \( 55mph \times 7h \)
385 miles


2

Simplify \( \frac{16}{56} \).

77% Answer Correctly
\( \frac{4}{7} \)
\( \frac{9}{14} \)
\( \frac{5}{16} \)
\( \frac{2}{7} \)

Solution

To simplify this fraction, first find the greatest common factor between them. The factors of 16 are [1, 2, 4, 8, 16] and the factors of 56 are [1, 2, 4, 7, 8, 14, 28, 56]. They share 4 factors [1, 2, 4, 8] making 8 their greatest common factor (GCF).

Next, divide both numerator and denominator by the GCF:

\( \frac{16}{56} \) = \( \frac{\frac{16}{8}}{\frac{56}{8}} \) = \( \frac{2}{7} \)


3

Convert 6,000,000 to scientific notation.

62% Answer Correctly
0.6 x 107
6.0 x 106
6.0 x 105
6.0 x 10-6

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:

6,000,000 in scientific notation is 6.0 x 106


4

Solve 2 + (5 + 3) ÷ 5 x 3 - 32

53% Answer Correctly
1
\(\frac{1}{3}\)
1\(\frac{1}{2}\)
-2\(\frac{1}{5}\)

Solution

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

2 + (5 + 3) ÷ 5 x 3 - 32
P: 2 + (8) ÷ 5 x 3 - 32
E: 2 + 8 ÷ 5 x 3 - 9
MD: 2 + \( \frac{8}{5} \) x 3 - 9
MD: 2 + \( \frac{24}{5} \) - 9
AS: \( \frac{10}{5} \) + \( \frac{24}{5} \) - 9
AS: \( \frac{34}{5} \) - 9
AS: \( \frac{34 - 45}{5} \)
\( \frac{-11}{5} \)
-2\(\frac{1}{5}\)


5

Which of the following is a mixed number?

82% Answer Correctly

\(1 {2 \over 5} \)

\({7 \over 5} \)

\({5 \over 7} \)

\({a \over 5} \)


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.