ASVAB Arithmetic Reasoning Practice Test 427018 Results

Your Results Global Average
Questions 5 5
Correct 0 3.24
Score 0% 65%

Review

1

If there were a total of 450 raffle tickets sold and you bought 36 tickets, what's the probability that you'll win the raffle?

60% Answer Correctly
12%
8%
14%
4%

Solution

You have 36 out of the total of 450 raffle tickets sold so you have a (\( \frac{36}{450} \)) x 100 = \( \frac{36 \times 100}{450} \) = \( \frac{3600}{450} \) = 8% chance to win the raffle.


2

What is \( \frac{1}{5} \) ÷ \( \frac{3}{6} \)?

68% Answer Correctly
\(\frac{2}{5}\)
2
\(\frac{1}{9}\)
\(\frac{1}{6}\)

Solution

To divide fractions, invert the second fraction and then multiply:

\( \frac{1}{5} \) ÷ \( \frac{3}{6} \) = \( \frac{1}{5} \) x \( \frac{6}{3} \)

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{1}{5} \) x \( \frac{6}{3} \) = \( \frac{1 x 6}{5 x 3} \) = \( \frac{6}{15} \) = \(\frac{2}{5}\)


3

Convert 9,399,000 to scientific notation.

62% Answer Correctly
9.399 x 10-6
0.94 x 107
9.399 x 105
9.399 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:

9,399,000 in scientific notation is 9.399 x 106


4

Simplify \( \sqrt{8} \)

62% Answer Correctly
3\( \sqrt{2} \)
4\( \sqrt{2} \)
2\( \sqrt{2} \)
6\( \sqrt{2} \)

Solution

To simplify a radical, factor out the perfect squares:

\( \sqrt{8} \)
\( \sqrt{4 \times 2} \)
\( \sqrt{2^2 \times 2} \)
2\( \sqrt{2} \)


5

Ezra loaned Christine $1,200 at an annual interest rate of 1%. If no payments are made, what is the total amount owed at the end of the first year?

71% Answer Correctly
$1,236
$1,260
$1,212
$1,224

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 $1,200
i = 0.01 x $1,200

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

total = $1,200 + $12
total = $1,212