| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
If a car travels 210 miles in 7 hours, what is the average speed?
| 35 mph | |
| 70 mph | |
| 75 mph | |
| 30 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)If a mayor is elected with 78% of the votes cast and 34% of a town's 35,000 voters cast a vote, how many votes did the mayor receive?
| 10,234 | |
| 9,282 | |
| 8,687 | |
| 10,472 |
If 34% of the town's 35,000 voters cast ballots the number of votes cast is:
(\( \frac{34}{100} \)) x 35,000 = \( \frac{1,190,000}{100} \) = 11,900
The mayor got 78% of the votes cast which is:
(\( \frac{78}{100} \)) x 11,900 = \( \frac{928,200}{100} \) = 9,282 votes.
What is \( \frac{4}{7} \) x \( \frac{3}{8} \)?
| \(\frac{1}{6}\) | |
| 1\(\frac{1}{2}\) | |
| \(\frac{3}{14}\) | |
| \(\frac{1}{32}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{7} \) x \( \frac{3}{8} \) = \( \frac{4 x 3}{7 x 8} \) = \( \frac{12}{56} \) = \(\frac{3}{14}\)
In a class of 27 students, 10 are taking German and 12 are taking Spanish. Of the students studying German or Spanish, 3 are taking both courses. How many students are not enrolled in either course?
| 15 | |
| 26 | |
| 14 | |
| 8 |
The number of students taking German or Spanish is 10 + 12 = 22. Of that group of 22, 3 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 22 - 3 = 19 who are taking at least one language. 27 - 19 = 8 students who are not taking either language.
Cooks are needed to prepare for a large party. Each cook can bake either 5 large cakes or 12 small cakes per hour. The kitchen is available for 2 hours and 39 large cakes and 450 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?
| 15 | |
| 12 | |
| 23 | |
| 7 |
If a single cook can bake 5 large cakes per hour and the kitchen is available for 2 hours, a single cook can bake 5 x 2 = 10 large cakes during that time. 39 large cakes are needed for the party so \( \frac{39}{10} \) = 3\(\frac{9}{10}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 12 small cakes per hour and the kitchen is available for 2 hours, a single cook can bake 12 x 2 = 24 small cakes during that time. 450 small cakes are needed for the party so \( \frac{450}{24} \) = 18\(\frac{3}{4}\) 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 4 + 19 = 23 cooks.