| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
How many hours does it take a car to travel 135 miles at an average speed of 45 miles per hour?
| 4 hours | |
| 8 hours | |
| 5 hours | |
| 3 hours |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{135mi}{45mph} \)
3 hours
A tiger in a zoo has consumed 110 pounds of food in 11 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 150 pounds?
| 2 | |
| 11 | |
| 10 | |
| 4 |
If the tiger has consumed 110 pounds of food in 11 days that's \( \frac{110}{11} \) = 10 pounds of food per day. The tiger needs to consume 150 - 110 = 40 more pounds of food to reach 150 pounds total. At 10 pounds of food per day that's \( \frac{40}{10} \) = 4 more days.
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?
| 16 | |
| 14 | |
| 9 | |
| 7 |
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.
Which of the following is an improper fraction?
\({a \over 5} \) |
|
\({7 \over 5} \) |
|
\(1 {2 \over 5} \) |
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\({2 \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.
What is the greatest common factor of 24 and 28?
| 16 | |
| 11 | |
| 4 | |
| 12 |
The factors of 24 are [1, 2, 3, 4, 6, 8, 12, 24] and the factors of 28 are [1, 2, 4, 7, 14, 28]. They share 3 factors [1, 2, 4] making 4 the greatest factor 24 and 28 have in common.