| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.01 |
| Score | 0% | 60% |
If a mayor is elected with 68% of the votes cast and 69% of a town's 44,000 voters cast a vote, how many votes did the mayor receive?
| 20,645 | |
| 24,895 | |
| 23,074 | |
| 16,698 |
If 69% of the town's 44,000 voters cast ballots the number of votes cast is:
(\( \frac{69}{100} \)) x 44,000 = \( \frac{3,036,000}{100} \) = 30,360
The mayor got 68% of the votes cast which is:
(\( \frac{68}{100} \)) x 30,360 = \( \frac{2,064,480}{100} \) = 20,645 votes.
How many hours does it take a car to travel 270 miles at an average speed of 45 miles per hour?
| 4 hours | |
| 9 hours | |
| 6 hours | |
| 2 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 = \( \frac{270mi}{45mph} \)
6 hours
How many 1\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 15 gallon tank to fill it exactly halfway?
| 5 | |
| 9 | |
| 10 | |
| 8 |
To fill a 15 gallon tank exactly halfway you'll need 7\(\frac{1}{2}\) gallons of fuel. Each fuel can holds 1\(\frac{1}{2}\) gallons so:
cans = \( \frac{7\frac{1}{2} \text{ gallons}}{1\frac{1}{2} \text{ gallons}} \) = 5
Cooks are needed to prepare for a large party. Each cook can bake either 2 large cakes or 15 small cakes per hour. The kitchen is available for 2 hours and 34 large cakes and 300 small cakes need to be baked.
How many cooks are required to bake the required number of cakes during the time the kitchen is available?
| 9 | |
| 12 | |
| 5 | |
| 19 |
If a single cook can bake 2 large cakes per hour and the kitchen is available for 2 hours, a single cook can bake 2 x 2 = 4 large cakes during that time. 34 large cakes are needed for the party so \( \frac{34}{4} \) = 8\(\frac{1}{2}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 15 small cakes per hour and the kitchen is available for 2 hours, a single cook can bake 15 x 2 = 30 small cakes during that time. 300 small cakes are needed for the party so \( \frac{300}{30} \) = 10 cooks are needed to bake the required number of small cakes.
Because you can't employ a fractional cook, round the number of cooks needed for each type of cake up to the next whole number resulting in 9 + 10 = 19 cooks.
Find the average of the following numbers: 12, 4, 10, 6.
| 8 | |
| 11 | |
| 12 | |
| 13 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{12 + 4 + 10 + 6}{4} \) = \( \frac{32}{4} \) = 8