ASVAB Arithmetic Reasoning Practice Test 568950 Results

Your Results Global Average
Questions 5 5
Correct 0 3.65
Score 0% 73%

Review

1

Find the average of the following numbers: 7, 5, 7, 5.

75% Answer Correctly
11
5
6
4

Solution

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

\( \frac{7 + 5 + 7 + 5}{4} \) = \( \frac{24}{4} \) = 6


2

What is 9b3 + 2b3?

66% Answer Correctly
11b3
11b-6
11b9
-7b-3

Solution

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:

9b3 + 2b3
(9 + 2)b3
11b3


3

What is the distance in miles of a trip that takes 1 hour at an average speed of 65 miles per hour?

87% Answer Correctly
220 miles
15 miles
245 miles
65 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 = \( 65mph \times 1h \)
65 miles


4

What is \( \frac{2}{6} \) + \( \frac{7}{14} \)?

60% Answer Correctly
2 \( \frac{2}{9} \)
\(\frac{5}{6}\)
\( \frac{8}{13} \)
1 \( \frac{1}{42} \)

Solution

To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 14 are [14, 28, 42, 56, 70, 84, 98]. The first few multiples they share are [42, 84] making 42 the smallest multiple 6 and 14 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{2 x 7}{6 x 7} \) + \( \frac{7 x 3}{14 x 3} \)

\( \frac{14}{42} \) + \( \frac{21}{42} \)

Now, because the fractions share a common denominator, you can add them:

\( \frac{14 + 21}{42} \) = \( \frac{35}{42} \) = \(\frac{5}{6}\)


5

What is (x4)3?

80% Answer Correctly
4x3
x12
x-1
x

Solution

To raise a term with an exponent to another exponent, retain the base and multiply the exponents:

(x4)3
x(4 * 3)
x12