| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.79 |
| Score | 0% | 76% |
A factor is a positive __________ that divides evenly into a given number.
fraction |
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improper fraction |
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mixed number |
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integer |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
A triathlon course includes a 500m swim, a 40.3km bike ride, and a 9.7km run. What is the total length of the race course?
| 50.5km | |
| 38.9km | |
| 50.6km | |
| 35km |
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 500 meters to kilometers, divide the distance by 1000 to get 0.5km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.5km + 40.3km + 9.7km
total distance = 50.5km
What is \( \frac{1}{5} \) x \( \frac{3}{7} \)?
| \(\frac{1}{36}\) | |
| \(\frac{3}{35}\) | |
| \(\frac{3}{7}\) | |
| \(\frac{3}{5}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{5} \) x \( \frac{3}{7} \) = \( \frac{1 x 3}{5 x 7} \) = \( \frac{3}{35} \) = \(\frac{3}{35}\)
How many hours does it take a car to travel 65 miles at an average speed of 65 miles per hour?
| 5 hours | |
| 3 hours | |
| 8 hours | |
| 1 hour |
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 = \( \frac{65mi}{65mph} \)
1 hour
Find the average of the following numbers: 12, 4, 9, 7.
| 8 | |
| 7 | |
| 10 | |
| 3 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{12 + 4 + 9 + 7}{4} \) = \( \frac{32}{4} \) = 8