| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.20 |
| Score | 0% | 64% |
What is \( \frac{4}{5} \) x \( \frac{4}{8} \)?
| 3\(\frac{1}{5}\) | |
| 2 | |
| \(\frac{1}{8}\) | |
| \(\frac{2}{5}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{5} \) x \( \frac{4}{8} \) = \( \frac{4 x 4}{5 x 8} \) = \( \frac{16}{40} \) = \(\frac{2}{5}\)
Which of these numbers is a factor of 72?
| 9 | |
| 54 | |
| 76 | |
| 6 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.
What is the greatest common factor of 40 and 64?
| 20 | |
| 8 | |
| 25 | |
| 7 |
The factors of 40 are [1, 2, 4, 5, 8, 10, 20, 40] and the factors of 64 are [1, 2, 4, 8, 16, 32, 64]. They share 4 factors [1, 2, 4, 8] making 8 the greatest factor 40 and 64 have in common.
Christine scored 83% on her final exam. If each question was worth 3 points and there were 240 possible points on the exam, how many questions did Christine answer correctly?
| 66 | |
| 60 | |
| 76 | |
| 70 |
Christine scored 83% on the test meaning she earned 83% of the possible points on the test. There were 240 possible points on the test so she earned 240 x 0.83 = 198 points. Each question is worth 3 points so she got \( \frac{198}{3} \) = 66 questions right.
On average, the center for a basketball team hits 40% of his shots while a guard on the same team hits 50% of his shots. If the guard takes 20 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?
| 25 | |
| 24 | |
| 42 | |
| 17 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 20 x \( \frac{50}{100} \) = \( \frac{50 x 20}{100} \) = \( \frac{1000}{100} \) = 10 shots
The center makes 40% 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 = \( \frac{10}{\frac{40}{100}} \) = 10 x \( \frac{100}{40} \) = \( \frac{10 x 100}{40} \) = \( \frac{1000}{40} \) = 25 shots
to make the same number of shots as the guard and thus score the same number of points.