| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.56 |
| Score | 0% | 51% |
A tiger in a zoo has consumed 45 pounds of food in 5 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 108 pounds?
| 12 | |
| 7 | |
| 6 | |
| 11 |
If the tiger has consumed 45 pounds of food in 5 days that's \( \frac{45}{5} \) = 9 pounds of food per day. The tiger needs to consume 108 - 45 = 63 more pounds of food to reach 108 pounds total. At 9 pounds of food per day that's \( \frac{63}{9} \) = 7 more days.
Christine scored 87% on her final exam. If each question was worth 4 points and there were 400 possible points on the exam, how many questions did Christine answer correctly?
| 87 | |
| 100 | |
| 95 | |
| 76 |
Christine scored 87% on the test meaning she earned 87% of the possible points on the test. There were 400 possible points on the test so she earned 400 x 0.87 = 348 points. Each question is worth 4 points so she got \( \frac{348}{4} \) = 87 questions right.
A machine in a factory has an error rate of 6 parts per 100. The machine normally runs 24 hours a day and produces 7 parts per hour. Yesterday the machine was shut down for 4 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 131.6 | |
| 155.2 | |
| 141.4 | |
| 70.5 |
The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:
\( \frac{6}{100} \) x 7 = \( \frac{6 \times 7}{100} \) = \( \frac{42}{100} \) = 0.42 errors per hour
So, in an average hour, the machine will produce 7 - 0.42 = 6.58 error free parts.
The machine ran for 24 - 4 = 20 hours yesterday so you would expect that 20 x 6.58 = 131.6 error free parts were produced yesterday.
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 3 to 2 and the ratio of baseball to basketball cards is 3 to 1, what is the ratio of football to basketball cards?
| 7:6 | |
| 5:2 | |
| 7:4 | |
| 9:2 |
The ratio of football cards to baseball cards is 3:2 and the ratio of baseball cards to basketball cards is 3:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 9:6 and the ratio of baseball cards to basketball cards as 6:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 9:6, 6:2 which reduces to 9:2.
On average, the center for a basketball team hits 25% of his shots while a guard on the same team hits 40% of his shots. If the guard takes 10 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?
| 9 | |
| 16 | |
| 12 | |
| 10 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 10 x \( \frac{40}{100} \) = \( \frac{40 x 10}{100} \) = \( \frac{400}{100} \) = 4 shots
The center makes 25% 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 = \( \frac{4}{\frac{25}{100}} \) = 4 x \( \frac{100}{25} \) = \( \frac{4 x 100}{25} \) = \( \frac{400}{25} \) = 16 shots
to make the same number of shots as the guard and thus score the same number of points.