| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.95 |
| Score | 0% | 59% |
On average, the center for a basketball team hits 45% of his shots while a guard on the same team hits 55% of his shots. If the guard takes 30 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?
| 36 | |
| 29 | |
| 43 | |
| 40 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 30 x \( \frac{55}{100} \) = \( \frac{55 x 30}{100} \) = \( \frac{1650}{100} \) = 16 shots
The center makes 45% 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 = \( \frac{16}{\frac{45}{100}} \) = 16 x \( \frac{100}{45} \) = \( \frac{16 x 100}{45} \) = \( \frac{1600}{45} \) = 36 shots
to make the same number of shots as the guard and thus score the same number of points.
If a mayor is elected with 87% of the votes cast and 82% of a town's 44,000 voters cast a vote, how many votes did the mayor receive?
| 28,142 | |
| 27,421 | |
| 23,452 | |
| 31,390 |
If 82% of the town's 44,000 voters cast ballots the number of votes cast is:
(\( \frac{82}{100} \)) x 44,000 = \( \frac{3,608,000}{100} \) = 36,080
The mayor got 87% of the votes cast which is:
(\( \frac{87}{100} \)) x 36,080 = \( \frac{3,138,960}{100} \) = 31,390 votes.
What is the greatest common factor of 28 and 16?
| 16 | |
| 1 | |
| 3 | |
| 4 |
The factors of 28 are [1, 2, 4, 7, 14, 28] and the factors of 16 are [1, 2, 4, 8, 16]. They share 3 factors [1, 2, 4] making 4 the greatest factor 28 and 16 have in common.
A bread recipe calls for 3\(\frac{1}{2}\) cups of flour. If you only have \(\frac{1}{4}\) cup, how much more flour is needed?
| 3\(\frac{1}{8}\) cups | |
| 1\(\frac{1}{8}\) cups | |
| 2\(\frac{1}{4}\) cups | |
| 3\(\frac{1}{4}\) cups |
The amount of flour you need is (3\(\frac{1}{2}\) - \(\frac{1}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{28}{8} \) - \( \frac{2}{8} \)) cups
\( \frac{26}{8} \) cups
3\(\frac{1}{4}\) cups
If there were a total of 300 raffle tickets sold and you bought 27 tickets, what's the probability that you'll win the raffle?
| 9% | |
| 18% | |
| 5% | |
| 17% |
You have 27 out of the total of 300 raffle tickets sold so you have a (\( \frac{27}{300} \)) x 100 = \( \frac{27 \times 100}{300} \) = \( \frac{2700}{300} \) = 9% chance to win the raffle.