| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.97 |
| Score | 0% | 59% |
What is \( \frac{2}{7} \) ÷ \( \frac{1}{6} \)?
| \(\frac{2}{21}\) | |
| \(\frac{1}{56}\) | |
| 1\(\frac{5}{7}\) | |
| \(\frac{3}{49}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{2}{7} \) ÷ \( \frac{1}{6} \) = \( \frac{2}{7} \) x \( \frac{6}{1} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{7} \) x \( \frac{6}{1} \) = \( \frac{2 x 6}{7 x 1} \) = \( \frac{12}{7} \) = 1\(\frac{5}{7}\)
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 45% off." If Frank buys two shirts, each with a regular price of $37, how much money will he save?
| $9.25 | |
| $16.65 | |
| $11.10 | |
| $5.55 |
By buying two shirts, Frank will save $37 x \( \frac{45}{100} \) = \( \frac{$37 x 45}{100} \) = \( \frac{$1665}{100} \) = $16.65 on the second shirt.
Which of the following is not a prime number?
9 |
|
5 |
|
7 |
|
2 |
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.
Cooks are needed to prepare for a large party. Each cook can bake either 5 large cakes or 10 small cakes per hour. The kitchen is available for 4 hours and 36 large cakes and 200 small cakes need to be baked.
How many cooks are required to bake the required number of cakes during the time the kitchen is available?
| 21 | |
| 5 | |
| 15 | |
| 7 |
If a single cook can bake 5 large cakes per hour and the kitchen is available for 4 hours, a single cook can bake 5 x 4 = 20 large cakes during that time. 36 large cakes are needed for the party so \( \frac{36}{20} \) = 1\(\frac{4}{5}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 10 small cakes per hour and the kitchen is available for 4 hours, a single cook can bake 10 x 4 = 40 small cakes during that time. 200 small cakes are needed for the party so \( \frac{200}{40} \) = 5 cooks are needed to bake the required number of small cakes.
Because you can't employ a fractional cook, round the number of cooks needed for each type of cake up to the next whole number resulting in 2 + 5 = 7 cooks.
Solve 4 + (4 + 3) ÷ 2 x 3 - 32
| 1\(\frac{1}{2}\) | |
| 1\(\frac{1}{8}\) | |
| \(\frac{4}{9}\) | |
| 5\(\frac{1}{2}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
4 + (4 + 3) ÷ 2 x 3 - 32
P: 4 + (7) ÷ 2 x 3 - 32
E: 4 + 7 ÷ 2 x 3 - 9
MD: 4 + \( \frac{7}{2} \) x 3 - 9
MD: 4 + \( \frac{21}{2} \) - 9
AS: \( \frac{8}{2} \) + \( \frac{21}{2} \) - 9
AS: \( \frac{29}{2} \) - 9
AS: \( \frac{29 - 18}{2} \)
\( \frac{11}{2} \)
5\(\frac{1}{2}\)