| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.23 |
| Score | 0% | 65% |
Which of the following is not a prime number?
2 |
|
7 |
|
9 |
|
5 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
What is \( \sqrt{\frac{4}{16}} \)?
| \(\frac{1}{2}\) | |
| 4 | |
| \(\frac{2}{3}\) | |
| \(\frac{5}{9}\) |
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:
\( \sqrt{\frac{4}{16}} \)
\( \frac{\sqrt{4}}{\sqrt{16}} \)
\( \frac{\sqrt{2^2}}{\sqrt{4^2}} \)
\(\frac{1}{2}\)
If all of a roofing company's 10 workers are required to staff 5 roofing crews, how many workers need to be added during the busy season in order to send 10 complete crews out on jobs?
| 2 | |
| 12 | |
| 10 | |
| 9 |
In order to find how many additional workers are needed to staff the extra crews you first need to calculate how many workers are on a crew. There are 10 workers at the company now and that's enough to staff 5 crews so there are \( \frac{10}{5} \) = 2 workers on a crew. 10 crews are needed for the busy season which, at 2 workers per crew, means that the roofing company will need 10 x 2 = 20 total workers to staff the crews during the busy season. The company already employs 10 workers so they need to add 20 - 10 = 10 new staff for the busy season.
Convert 0.0006857 to scientific notation.
| 6.857 x 105 | |
| 6.857 x 10-3 | |
| 6.857 x 10-5 | |
| 6.857 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:
0.0006857 in scientific notation is 6.857 x 10-4
What is \( \frac{3}{6} \) x \( \frac{2}{9} \)?
| \(\frac{16}{35}\) | |
| \(\frac{1}{9}\) | |
| \(\frac{4}{81}\) | |
| 1 |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{6} \) x \( \frac{2}{9} \) = \( \frac{3 x 2}{6 x 9} \) = \( \frac{6}{54} \) = \(\frac{1}{9}\)