| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.59 |
| Score | 0% | 72% |
How many hours does it take a car to travel 50 miles at an average speed of 25 miles per hour?
| 2 hours | |
| 5 hours | |
| 3 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 = \( \frac{50mi}{25mph} \)
2 hours
What is \( \frac{3}{9} \) x \( \frac{2}{8} \)?
| \(\frac{1}{12}\) | |
| \(\frac{3}{16}\) | |
| \(\frac{2}{3}\) | |
| \(\frac{2}{25}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{9} \) x \( \frac{2}{8} \) = \( \frac{3 x 2}{9 x 8} \) = \( \frac{6}{72} \) = \(\frac{1}{12}\)
A bread recipe calls for 3\(\frac{1}{2}\) cups of flour. If you only have 1\(\frac{1}{2}\) cups, how much more flour is needed?
| 3\(\frac{1}{8}\) cups | |
| 3\(\frac{1}{2}\) cups | |
| 2 cups | |
| 2\(\frac{3}{4}\) cups |
The amount of flour you need is (3\(\frac{1}{2}\) - 1\(\frac{1}{2}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{28}{8} \) - \( \frac{12}{8} \)) cups
\( \frac{16}{8} \) cups
2 cups
If a car travels 220 miles in 4 hours, what is the average speed?
| 30 mph | |
| 70 mph | |
| 15 mph | |
| 55 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 7 to 2 and the ratio of baseball to basketball cards is 7 to 1, what is the ratio of football to basketball cards?
| 1:4 | |
| 49:2 | |
| 5:6 | |
| 3:1 |
The ratio of football cards to baseball cards is 7:2 and the ratio of baseball cards to basketball cards is 7:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 49:14 and the ratio of baseball cards to basketball cards as 14:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 49:14, 14:2 which reduces to 49:2.