ASVAB Arithmetic Reasoning Practice Test 570950 Results

Your Results Global Average
Questions 5 5
Correct 0 2.99
Score 0% 60%

Review

1

A bread recipe calls for 1\(\frac{7}{8}\) cups of flour. If you only have \(\frac{3}{4}\) cup, how much more flour is needed?

62% Answer Correctly
1 cups
2\(\frac{5}{8}\) cups
1\(\frac{7}{8}\) cups
1\(\frac{1}{8}\) cups

Solution

The amount of flour you need is (1\(\frac{7}{8}\) - \(\frac{3}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{15}{8} \) - \( \frac{6}{8} \)) cups
\( \frac{9}{8} \) cups
1\(\frac{1}{8}\) cups


2

What is \( \frac{3a^9}{1a^2} \)?

60% Answer Correctly
3a-7
3a4\(\frac{1}{2}\)
3a7
\(\frac{1}{3}\)a11

Solution

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

\( \frac{3a^9}{a^2} \)
\( \frac{3}{1} \) a(9 - 2)
3a7


3

On average, the center for a basketball team hits 30% of his shots while a guard on the same team hits 50% of his shots. If the guard takes 25 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?

42% Answer Correctly
22
24
40
23

Solution
If the guard hits 50% of his shots and takes 25 shots he'll make:

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 25 x \( \frac{50}{100} \) = \( \frac{50 x 25}{100} \) = \( \frac{1250}{100} \) = 12 shots

The center makes 30% of his shots so he'll have to take:

shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)

to make as many shots as the guard. Plugging in values for the center gives us:

center shots taken = \( \frac{12}{\frac{30}{100}} \) = 12 x \( \frac{100}{30} \) = \( \frac{12 x 100}{30} \) = \( \frac{1200}{30} \) = 40 shots

to make the same number of shots as the guard and thus score the same number of points.


4

If there were a total of 450 raffle tickets sold and you bought 40 tickets, what's the probability that you'll win the raffle?

60% Answer Correctly
2%
11%
9%
18%

Solution

You have 40 out of the total of 450 raffle tickets sold so you have a (\( \frac{40}{450} \)) x 100 = \( \frac{40 \times 100}{450} \) = \( \frac{4000}{450} \) = 9% chance to win the raffle.


5

What is the least common multiple of 6 and 8?

72% Answer Correctly
36
24
28
15

Solution

The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80]. The first few multiples they share are [24, 48, 72, 96] making 24 the smallest multiple 6 and 8 have in common.