| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.70 |
| Score | 0% | 74% |
If a car travels 495 miles in 9 hours, what is the average speed?
| 20 mph | |
| 55 mph | |
| 15 mph | |
| 40 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)What is the greatest common factor of 28 and 32?
| 17 | |
| 4 | |
| 19 | |
| 12 |
The factors of 28 are [1, 2, 4, 7, 14, 28] and the factors of 32 are [1, 2, 4, 8, 16, 32]. They share 3 factors [1, 2, 4] making 4 the greatest factor 28 and 32 have in common.
4! = ?
4 x 3 x 2 x 1 |
|
5 x 4 x 3 x 2 x 1 |
|
4 x 3 |
|
3 x 2 x 1 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
What is \( \frac{2}{5} \) x \( \frac{2}{6} \)?
| \(\frac{4}{5}\) | |
| \(\frac{2}{15}\) | |
| \(\frac{2}{3}\) | |
| \(\frac{4}{45}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{5} \) x \( \frac{2}{6} \) = \( \frac{2 x 2}{5 x 6} \) = \( \frac{4}{30} \) = \(\frac{2}{15}\)
How many 2 gallon cans worth of fuel would you need to pour into an empty 20 gallon tank to fill it exactly halfway?
| 5 | |
| 7 | |
| 2 | |
| 6 |
To fill a 20 gallon tank exactly halfway you'll need 10 gallons of fuel. Each fuel can holds 2 gallons so:
cans = \( \frac{10 \text{ gallons}}{2 \text{ gallons}} \) = 5