| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.95 |
| Score | 0% | 59% |
Which of these numbers is a factor of 20?
| 5 | |
| 2 | |
| 13 | |
| 20 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 20 are 1, 2, 4, 5, 10, 20.
A bread recipe calls for 2\(\frac{1}{2}\) cups of flour. If you only have \(\frac{1}{8}\) cup, how much more flour is needed?
| 1\(\frac{1}{4}\) cups | |
| 2\(\frac{1}{4}\) cups | |
| 2\(\frac{3}{8}\) cups | |
| 2\(\frac{5}{8}\) cups |
The amount of flour you need is (2\(\frac{1}{2}\) - \(\frac{1}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{20}{8} \) - \( \frac{1}{8} \)) cups
\( \frac{19}{8} \) cups
2\(\frac{3}{8}\) cups
If a mayor is elected with 70% of the votes cast and 76% of a town's 14,000 voters cast a vote, how many votes did the mayor receive?
| 7,874 | |
| 8,831 | |
| 7,448 | |
| 7,767 |
If 76% of the town's 14,000 voters cast ballots the number of votes cast is:
(\( \frac{76}{100} \)) x 14,000 = \( \frac{1,064,000}{100} \) = 10,640
The mayor got 70% of the votes cast which is:
(\( \frac{70}{100} \)) x 10,640 = \( \frac{744,800}{100} \) = 7,448 votes.
What is \( \frac{3}{7} \) x \( \frac{3}{6} \)?
| \(\frac{2}{27}\) | |
| 1\(\frac{1}{2}\) | |
| \(\frac{1}{12}\) | |
| \(\frac{3}{14}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{7} \) x \( \frac{3}{6} \) = \( \frac{3 x 3}{7 x 6} \) = \( \frac{9}{42} \) = \(\frac{3}{14}\)
What is 5\( \sqrt{8} \) x 8\( \sqrt{5} \)?
| 40\( \sqrt{8} \) | |
| 40\( \sqrt{5} \) | |
| 80\( \sqrt{10} \) | |
| 40\( \sqrt{13} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
5\( \sqrt{8} \) x 8\( \sqrt{5} \)
(5 x 8)\( \sqrt{8 \times 5} \)
40\( \sqrt{40} \)
Now we need to simplify the radical:
40\( \sqrt{40} \)
40\( \sqrt{10 \times 4} \)
40\( \sqrt{10 \times 2^2} \)
(40)(2)\( \sqrt{10} \)
80\( \sqrt{10} \)