| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.76 |
| Score | 0% | 75% |
If a mayor is elected with 62% of the votes cast and 45% of a town's 42,000 voters cast a vote, how many votes did the mayor receive?
| 11,718 | |
| 13,419 | |
| 10,584 | |
| 9,639 |
If 45% of the town's 42,000 voters cast ballots the number of votes cast is:
(\( \frac{45}{100} \)) x 42,000 = \( \frac{1,890,000}{100} \) = 18,900
The mayor got 62% of the votes cast which is:
(\( \frac{62}{100} \)) x 18,900 = \( \frac{1,171,800}{100} \) = 11,718 votes.
Which of the following is a mixed number?
\({5 \over 7} \) |
|
\({7 \over 5} \) |
|
\({a \over 5} \) |
|
\(1 {2 \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.
What is the least common multiple of 2 and 4?
| 4 | |
| 2 | |
| 1 | |
| 5 |
The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40]. The first few multiples they share are [4, 8, 12, 16, 20] making 4 the smallest multiple 2 and 4 have in common.
If a car travels 180 miles in 6 hours, what is the average speed?
| 50 mph | |
| 20 mph | |
| 60 mph | |
| 30 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)How many hours does it take a car to travel 240 miles at an average speed of 60 miles per hour?
| 9 hours | |
| 2 hours | |
| 4 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 = \( \frac{240mi}{60mph} \)
4 hours