| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.78 |
| Score | 0% | 56% |
Which of these numbers is a factor of 40?
| 23 | |
| 40 | |
| 2 | |
| 14 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40.
A triathlon course includes a 200m swim, a 50.8km bike ride, and a 11.0km run. What is the total length of the race course?
| 67.5km | |
| 59km | |
| 40.7km | |
| 62km |
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 + 50.8km + 11.0km
total distance = 62km
How many 1\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 6 gallon tank to fill it exactly halfway?
| 8 | |
| 2 | |
| 7 | |
| 2 |
To fill a 6 gallon tank exactly halfway you'll need 3 gallons of fuel. Each fuel can holds 1\(\frac{1}{2}\) gallons so:
cans = \( \frac{3 \text{ gallons}}{1\frac{1}{2} \text{ gallons}} \) = 2
What is \( 9 \)\( \sqrt{27} \) - \( 3 \)\( \sqrt{3} \)
| 27\( \sqrt{81} \) | |
| 27\( \sqrt{27} \) | |
| 6\( \sqrt{27} \) | |
| 24\( \sqrt{3} \) |
To subtract these radicals together their radicands must be the same:
9\( \sqrt{27} \) - 3\( \sqrt{3} \)
9\( \sqrt{9 \times 3} \) - 3\( \sqrt{3} \)
9\( \sqrt{3^2 \times 3} \) - 3\( \sqrt{3} \)
(9)(3)\( \sqrt{3} \) - 3\( \sqrt{3} \)
27\( \sqrt{3} \) - 3\( \sqrt{3} \)
Now that the radicands are identical, you can subtract them:
27\( \sqrt{3} \) - 3\( \sqrt{3} \)If a mayor is elected with 64% of the votes cast and 77% of a town's 31,000 voters cast a vote, how many votes did the mayor receive?
| 19,096 | |
| 12,890 | |
| 15,277 | |
| 18,141 |
If 77% of the town's 31,000 voters cast ballots the number of votes cast is:
(\( \frac{77}{100} \)) x 31,000 = \( \frac{2,387,000}{100} \) = 23,870
The mayor got 64% of the votes cast which is:
(\( \frac{64}{100} \)) x 23,870 = \( \frac{1,527,680}{100} \) = 15,277 votes.