| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.81 |
| Score | 0% | 76% |
What is the least common multiple of 6 and 8?
| 2 | |
| 24 | |
| 36 | |
| 18 |
The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80]. The first few multiples they share are [24, 48, 72, 96] making 24 the smallest multiple 6 and 8 have in common.
How many hours does it take a car to travel 525 miles at an average speed of 75 miles per hour?
| 7 hours | |
| 4 hours | |
| 6 hours | |
| 8 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 = \( \frac{525mi}{75mph} \)
7 hours
A triathlon course includes a 200m swim, a 30.9km bike ride, and a 13.7km run. What is the total length of the race course?
| 65km | |
| 34.7km | |
| 44.8km | |
| 62.3km |
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 200 meters to kilometers, divide the distance by 1000 to get 0.2km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.2km + 30.9km + 13.7km
total distance = 44.8km
Bob loaned Betty $500 at an annual interest rate of 9%. If no payments are made, what is the total amount owed at the end of the first year?
| $535 | |
| $525 | |
| $515 | |
| $545 |
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 $500
i = 0.09 x $500
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $500 + $454! = ?
3 x 2 x 1 |
|
4 x 3 x 2 x 1 |
|
5 x 4 x 3 x 2 x 1 |
|
4 x 3 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.