| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.68 |
| Score | 0% | 74% |
What is the greatest common factor of 28 and 24?
| 12 | |
| 19 | |
| 4 | |
| 9 |
The factors of 28 are [1, 2, 4, 7, 14, 28] and the factors of 24 are [1, 2, 3, 4, 6, 8, 12, 24]. They share 3 factors [1, 2, 4] making 4 the greatest factor 28 and 24 have in common.
If a car travels 300 miles in 6 hours, what is the average speed?
| 50 mph | |
| 55 mph | |
| 65 mph | |
| 20 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Convert 0.0000597 to scientific notation.
| 5.97 x 10-5 | |
| 5.97 x 106 | |
| 0.597 x 10-4 | |
| 5.97 x 10-4 |
A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:
0.0000597 in scientific notation is 5.97 x 10-5
Roger loaned Bob $600 at an annual interest rate of 8%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $30 | |
| $48 | |
| $40 | |
| $63 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $600
i = 0.08 x $600
i = $48
Solve for \( \frac{2!}{5!} \)
| 15120 | |
| \( \frac{1}{60} \) | |
| \( \frac{1}{840} \) | |
| 30 |
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:
\( \frac{2!}{5!} \)
\( \frac{2 \times 1}{5 \times 4 \times 3 \times 2 \times 1} \)
\( \frac{1}{5 \times 4 \times 3} \)
\( \frac{1}{60} \)