| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.96 |
| Score | 0% | 79% |
4! = ?
4 x 3 |
|
3 x 2 x 1 |
|
4 x 3 x 2 x 1 |
|
5 x 4 x 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.
Which of these numbers is a factor of 36?
| 32 | |
| 24 | |
| 11 | |
| 18 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36.
If a car travels 120 miles in 3 hours, what is the average speed?
| 60 mph | |
| 15 mph | |
| 45 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 next number in this sequence: 1, 6, 11, 16, 21, __________ ?
| 26 | |
| 30 | |
| 33 | |
| 23 |
The equation for this sequence is:
an = an-1 + 5
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 5
a6 = 21 + 5
a6 = 26
What is \( \frac{2}{8} \) ÷ \( \frac{3}{8} \)?
| 5\(\frac{1}{3}\) | |
| \(\frac{2}{3}\) | |
| \(\frac{1}{5}\) | |
| \(\frac{1}{8}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{2}{8} \) ÷ \( \frac{3}{8} \) = \( \frac{2}{8} \) x \( \frac{8}{3} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{8} \) x \( \frac{8}{3} \) = \( \frac{2 x 8}{8 x 3} \) = \( \frac{16}{24} \) = \(\frac{2}{3}\)