| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.35 |
| Score | 0% | 67% |
A bread recipe calls for 2\(\frac{3}{8}\) cups of flour. If you only have 1\(\frac{5}{8}\) cups, how much more flour is needed?
| 2\(\frac{1}{2}\) cups | |
| 2 cups | |
| 3 cups | |
| \(\frac{3}{4}\) cups |
The amount of flour you need is (2\(\frac{3}{8}\) - 1\(\frac{5}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{19}{8} \) - \( \frac{13}{8} \)) cups
\( \frac{6}{8} \) cups
\(\frac{3}{4}\) cups
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 \( \frac{2}{6} \) ÷ \( \frac{3}{8} \)?
| \(\frac{1}{7}\) | |
| 5\(\frac{1}{3}\) | |
| \(\frac{2}{7}\) | |
| \(\frac{8}{9}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{2}{6} \) ÷ \( \frac{3}{8} \) = \( \frac{2}{6} \) x \( \frac{8}{3} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{6} \) x \( \frac{8}{3} \) = \( \frac{2 x 8}{6 x 3} \) = \( \frac{16}{18} \) = \(\frac{8}{9}\)
Solve for \( \frac{6!}{2!} \)
| 360 | |
| 30 | |
| 1680 | |
| 3024 |
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:
\( \frac{6!}{2!} \)
\( \frac{6 \times 5 \times 4 \times 3 \times 2 \times 1}{2 \times 1} \)
\( \frac{6 \times 5 \times 4 \times 3}{1} \)
\( 6 \times 5 \times 4 \times 3 \)
360
Alex loaned Charlie $900 at an annual interest rate of 5%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $8 | |
| $21 | |
| $49 | |
| $45 |
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 $900
i = 0.05 x $900
i = $45