ASVAB Arithmetic Reasoning Practice Test 932495 Results

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

Review

1

What is \( \frac{1}{9} \) ÷ \( \frac{2}{9} \)?

68% Answer Correctly
\(\frac{3}{35}\)
\(\frac{2}{21}\)
1
\(\frac{1}{2}\)

Solution

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

\( \frac{1}{9} \) ÷ \( \frac{2}{9} \) = \( \frac{1}{9} \) x \( \frac{9}{2} \)

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

\( \frac{1}{9} \) x \( \frac{9}{2} \) = \( \frac{1 x 9}{9 x 2} \) = \( \frac{9}{18} \) = \(\frac{1}{2}\)


2

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Monty buys two shirts, each with a regular price of $18, how much will he pay for both shirts?

57% Answer Correctly
$27.00
$22.50
$25.20
$23.40

Solution

By buying two shirts, Monty will save $18 x \( \frac{50}{100} \) = \( \frac{$18 x 50}{100} \) = \( \frac{$900}{100} \) = $9.00 on the second shirt.

So, his total cost will be
$18.00 + ($18.00 - $9.00)
$18.00 + $9.00
$27.00


3

If there were a total of 400 raffle tickets sold and you bought 32 tickets, what's the probability that you'll win the raffle?

60% Answer Correctly
8%
5%
3%
12%

Solution

You have 32 out of the total of 400 raffle tickets sold so you have a (\( \frac{32}{400} \)) x 100 = \( \frac{32 \times 100}{400} \) = \( \frac{3200}{400} \) = 8% chance to win the raffle.


4

What is \( 9 \)\( \sqrt{125} \) - \( 6 \)\( \sqrt{5} \)

39% Answer Correctly
54\( \sqrt{125} \)
3\( \sqrt{125} \)
39\( \sqrt{5} \)
3\( \sqrt{625} \)

Solution

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

9\( \sqrt{125} \) - 6\( \sqrt{5} \)
9\( \sqrt{25 \times 5} \) - 6\( \sqrt{5} \)
9\( \sqrt{5^2 \times 5} \) - 6\( \sqrt{5} \)
(9)(5)\( \sqrt{5} \) - 6\( \sqrt{5} \)
45\( \sqrt{5} \) - 6\( \sqrt{5} \)

Now that the radicands are identical, you can subtract them:

45\( \sqrt{5} \) - 6\( \sqrt{5} \)
(45 - 6)\( \sqrt{5} \)
39\( \sqrt{5} \)


5

What is -z5 x 4z2?

75% Answer Correctly
3z7
-4z2
-4z-3
-4z7

Solution

To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:

-z5 x 4z2
(-1 x 4)z(5 + 2)
-4z7