| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
A factor is a positive __________ that divides evenly into a given number.
fraction |
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integer |
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improper fraction |
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mixed number |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
If a mayor is elected with 81% of the votes cast and 44% of a town's 24,000 voters cast a vote, how many votes did the mayor receive?
| 8,554 | |
| 5,597 | |
| 9,187 | |
| 7,392 |
If 44% of the town's 24,000 voters cast ballots the number of votes cast is:
(\( \frac{44}{100} \)) x 24,000 = \( \frac{1,056,000}{100} \) = 10,560
The mayor got 81% of the votes cast which is:
(\( \frac{81}{100} \)) x 10,560 = \( \frac{855,360}{100} \) = 8,554 votes.
If all of a roofing company's 10 workers are required to staff 5 roofing crews, how many workers need to be added during the busy season in order to send 10 complete crews out on jobs?
| 16 | |
| 10 | |
| 7 | |
| 8 |
In order to find how many additional workers are needed to staff the extra crews you first need to calculate how many workers are on a crew. There are 10 workers at the company now and that's enough to staff 5 crews so there are \( \frac{10}{5} \) = 2 workers on a crew. 10 crews are needed for the busy season which, at 2 workers per crew, means that the roofing company will need 10 x 2 = 20 total workers to staff the crews during the busy season. The company already employs 10 workers so they need to add 20 - 10 = 10 new staff for the busy season.
What is the distance in miles of a trip that takes 1 hour at an average speed of 65 miles per hour?
| 55 miles | |
| 260 miles | |
| 120 miles | |
| 65 miles |
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 distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 65mph \times 1h \)
65 miles
A bread recipe calls for 2\(\frac{3}{8}\) cups of flour. If you only have 1\(\frac{1}{4}\) cups, how much more flour is needed?
| 3\(\frac{1}{2}\) cups | |
| 2\(\frac{1}{8}\) cups | |
| 1\(\frac{1}{8}\) cups | |
| 2\(\frac{1}{4}\) cups |
The amount of flour you need is (2\(\frac{3}{8}\) - 1\(\frac{1}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{19}{8} \) - \( \frac{10}{8} \)) cups
\( \frac{9}{8} \) cups
1\(\frac{1}{8}\) cups