| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.06 |
| Score | 0% | 61% |
If a mayor is elected with 76% of the votes cast and 31% of a town's 21,000 voters cast a vote, how many votes did the mayor receive?
| 3,841 | |
| 4,232 | |
| 4,817 | |
| 4,948 |
If 31% of the town's 21,000 voters cast ballots the number of votes cast is:
(\( \frac{31}{100} \)) x 21,000 = \( \frac{651,000}{100} \) = 6,510
The mayor got 76% of the votes cast which is:
(\( \frac{76}{100} \)) x 6,510 = \( \frac{494,760}{100} \) = 4,948 votes.
On average, the center for a basketball team hits 50% of his shots while a guard on the same team hits 60% of his shots. If the guard takes 15 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?
| 35 | |
| 18 | |
| 30 | |
| 33 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 15 x \( \frac{60}{100} \) = \( \frac{60 x 15}{100} \) = \( \frac{900}{100} \) = 9 shots
The center makes 50% 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 = \( \frac{9}{\frac{50}{100}} \) = 9 x \( \frac{100}{50} \) = \( \frac{9 x 100}{50} \) = \( \frac{900}{50} \) = 18 shots
to make the same number of shots as the guard and thus score the same number of points.
Damon loaned Ezra $1,000 at an annual interest rate of 8%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $12 | |
| $80 | |
| $91 | |
| $72 |
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 $1,000
i = 0.08 x $1,000
i = $80
What is the greatest common factor of 60 and 48?
| 41 | |
| 34 | |
| 12 | |
| 17 |
The factors of 60 are [1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60] and the factors of 48 are [1, 2, 3, 4, 6, 8, 12, 16, 24, 48]. They share 6 factors [1, 2, 3, 4, 6, 12] making 12 the greatest factor 60 and 48 have in common.
If there were a total of 100 raffle tickets sold and you bought 4 tickets, what's the probability that you'll win the raffle?
| 15% | |
| 4% | |
| 8% | |
| 11% |
You have 4 out of the total of 100 raffle tickets sold so you have a (\( \frac{4}{100} \)) x 100 = \( \frac{4 \times 100}{100} \) = \( \frac{400}{100} \) = 4% chance to win the raffle.