| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
What is 2\( \sqrt{8} \) x 7\( \sqrt{3} \)?
| 9\( \sqrt{24} \) | |
| 9\( \sqrt{3} \) | |
| 28\( \sqrt{6} \) | |
| 14\( \sqrt{11} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
2\( \sqrt{8} \) x 7\( \sqrt{3} \)
(2 x 7)\( \sqrt{8 \times 3} \)
14\( \sqrt{24} \)
Now we need to simplify the radical:
14\( \sqrt{24} \)
14\( \sqrt{6 \times 4} \)
14\( \sqrt{6 \times 2^2} \)
(14)(2)\( \sqrt{6} \)
28\( \sqrt{6} \)
A triathlon course includes a 100m swim, a 40.9km bike ride, and a 5.0km run. What is the total length of the race course?
| 33km | |
| 54.5km | |
| 46km | |
| 50.6km |
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 100 meters to kilometers, divide the distance by 1000 to get 0.1km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.1km + 40.9km + 5.0km
total distance = 46km
What is the greatest common factor of 80 and 40?
| 14 | |
| 28 | |
| 40 | |
| 10 |
The factors of 80 are [1, 2, 4, 5, 8, 10, 16, 20, 40, 80] and the factors of 40 are [1, 2, 4, 5, 8, 10, 20, 40]. They share 8 factors [1, 2, 4, 5, 8, 10, 20, 40] making 40 the greatest factor 80 and 40 have in common.
Which of the following is not a prime number?
5 |
|
7 |
|
2 |
|
9 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
If there were a total of 50 raffle tickets sold and you bought 4 tickets, what's the probability that you'll win the raffle?
| 9% | |
| 13% | |
| 2% | |
| 8% |
You have 4 out of the total of 50 raffle tickets sold so you have a (\( \frac{4}{50} \)) x 100 = \( \frac{4 \times 100}{50} \) = \( \frac{400}{50} \) = 9% chance to win the raffle.