| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.32 |
| Score | 0% | 66% |
A triathlon course includes a 400m swim, a 50.4km bike ride, and a 16.1km run. What is the total length of the race course?
| 45.7km | |
| 66.9km | |
| 25.2km | |
| 58.6km |
To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 400 meters to kilometers, divide the distance by 1000 to get 0.4km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.4km + 50.4km + 16.1km
total distance = 66.9km
What is \( \frac{3}{9} \) x \( \frac{1}{6} \)?
| \(\frac{6}{35}\) | |
| \(\frac{1}{18}\) | |
| \(\frac{1}{30}\) | |
| \(\frac{3}{28}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{9} \) x \( \frac{1}{6} \) = \( \frac{3 x 1}{9 x 6} \) = \( \frac{3}{54} \) = \(\frac{1}{18}\)
What is the distance in miles of a trip that takes 5 hours at an average speed of 40 miles per hour?
| 90 miles | |
| 200 miles | |
| 250 miles | |
| 525 miles |
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 distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 40mph \times 5h \)
200 miles
If there were a total of 150 raffle tickets sold and you bought 12 tickets, what's the probability that you'll win the raffle?
| 18% | |
| 17% | |
| 8% | |
| 7% |
You have 12 out of the total of 150 raffle tickets sold so you have a (\( \frac{12}{150} \)) x 100 = \( \frac{12 \times 100}{150} \) = \( \frac{1200}{150} \) = 8% chance to win the raffle.
On average, the center for a basketball team hits 40% of his shots while a guard on the same team hits 55% 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?
| 10 | |
| 19 | |
| 25 | |
| 13 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 10 x \( \frac{55}{100} \) = \( \frac{55 x 10}{100} \) = \( \frac{550}{100} \) = 5 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 = \( \frac{5}{\frac{40}{100}} \) = 5 x \( \frac{100}{40} \) = \( \frac{5 x 100}{40} \) = \( \frac{500}{40} \) = 13 shots
to make the same number of shots as the guard and thus score the same number of points.