ASVAB Arithmetic Reasoning Practice Test 452942 Results

Your Results Global Average
Questions 5 5
Correct 0 3.00
Score 0% 60%

Review

1

Monty loaned Jennifer $100 at an annual interest rate of 8%. If no payments are made, what is the total amount owed at the end of the first year?

71% Answer Correctly
$107
$108
$103
$106

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 $100
i = 0.08 x $100

No payments were made so the total amount due is the original amount + the accumulated interest:

total = $100 + $8
total = $108


2

Find the average of the following numbers: 9, 3, 9, 3.

75% Answer Correctly
11
7
6
2

Solution

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

\( \frac{9 + 3 + 9 + 3}{4} \) = \( \frac{24}{4} \) = 6


3

Convert 1,309,000 to scientific notation.

62% Answer Correctly
1.309 x 105
13.09 x 105
1.309 x 10-6
1.309 x 106

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:

1,309,000 in scientific notation is 1.309 x 106


4

What is \( 6 \)\( \sqrt{18} \) + \( 3 \)\( \sqrt{2} \)

35% Answer Correctly
9\( \sqrt{9} \)
18\( \sqrt{2} \)
9\( \sqrt{2} \)
21\( \sqrt{2} \)

Solution

To add these radicals together their radicands must be the same:

6\( \sqrt{18} \) + 3\( \sqrt{2} \)
6\( \sqrt{9 \times 2} \) + 3\( \sqrt{2} \)
6\( \sqrt{3^2 \times 2} \) + 3\( \sqrt{2} \)
(6)(3)\( \sqrt{2} \) + 3\( \sqrt{2} \)
18\( \sqrt{2} \) + 3\( \sqrt{2} \)

Now that the radicands are identical, you can add them together:

18\( \sqrt{2} \) + 3\( \sqrt{2} \)
(18 + 3)\( \sqrt{2} \)
21\( \sqrt{2} \)


5

Jennifer scored 98% on her final exam. If each question was worth 4 points and there were 320 possible points on the exam, how many questions did Jennifer answer correctly?

57% Answer Correctly
78
64
68
73

Solution

Jennifer scored 98% on the test meaning she earned 98% of the possible points on the test. There were 320 possible points on the test so she earned 320 x 0.98 = 312 points. Each question is worth 4 points so she got \( \frac{312}{4} \) = 78 questions right.