| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.62 |
| Score | 0% | 72% |
If a car travels 75 miles in 5 hours, what is the average speed?
| 75 mph | |
| 15 mph | |
| 55 mph | |
| 65 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 \( \sqrt{\frac{36}{9}} \)?
| 2 | |
| 1\(\frac{1}{2}\) | |
| \(\frac{7}{8}\) | |
| 1\(\frac{1}{3}\) |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{36}{9}} \)
\( \frac{\sqrt{36}}{\sqrt{9}} \)
\( \frac{\sqrt{6^2}}{\sqrt{3^2}} \)
\( \frac{6}{3} \)
2
Solve for \( \frac{2!}{5!} \)
| \( \frac{1}{9} \) | |
| 30 | |
| 6720 | |
| \( \frac{1}{60} \) |
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{2!}{5!} \)
\( \frac{2 \times 1}{5 \times 4 \times 3 \times 2 \times 1} \)
\( \frac{1}{5 \times 4 \times 3} \)
\( \frac{1}{60} \)
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 5% off." If Charlie buys two shirts, each with a regular price of $48, how much money will he save?
| $12.00 | |
| $9.60 | |
| $21.60 | |
| $2.40 |
By buying two shirts, Charlie will save $48 x \( \frac{5}{100} \) = \( \frac{$48 x 5}{100} \) = \( \frac{$240}{100} \) = $2.40 on the second shirt.
What is the next number in this sequence: 1, 4, 10, 19, 31, __________ ?
| 46 | |
| 39 | |
| 41 | |
| 53 |
The equation for this sequence is:
an = an-1 + 3(n - 1)
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 + 3(6 - 1)
a6 = 31 + 3(5)
a6 = 46