| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
How many 12-passenger vans will it take to drive all 47 members of the football team to an away game?
| 5 vans | |
| 15 vans | |
| 3 vans | |
| 4 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{47}{12} \) = 3\(\frac{11}{12}\)
So, it will take 3 full vans and one partially full van to transport the entire team making a total of 4 vans.
A bread recipe calls for 2 cups of flour. If you only have 1\(\frac{1}{4}\) cups, how much more flour is needed?
| 2\(\frac{1}{2}\) cups | |
| \(\frac{3}{4}\) cups | |
| 1\(\frac{5}{8}\) cups | |
| 2 cups |
The amount of flour you need is (2 - 1\(\frac{1}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{16}{8} \) - \( \frac{10}{8} \)) cups
\( \frac{6}{8} \) cups
\(\frac{3}{4}\) cups
What is the greatest common factor of 28 and 64?
| 16 | |
| 24 | |
| 4 | |
| 11 |
The factors of 28 are [1, 2, 4, 7, 14, 28] and the factors of 64 are [1, 2, 4, 8, 16, 32, 64]. They share 3 factors [1, 2, 4] making 4 the greatest factor 28 and 64 have in common.
What is \( \frac{2}{5} \) x \( \frac{1}{8} \)?
| \(\frac{1}{5}\) | |
| \(\frac{12}{35}\) | |
| \(\frac{1}{20}\) | |
| \(\frac{1}{35}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{5} \) x \( \frac{1}{8} \) = \( \frac{2 x 1}{5 x 8} \) = \( \frac{2}{40} \) = \(\frac{1}{20}\)
Cooks are needed to prepare for a large party. Each cook can bake either 3 large cakes or 15 small cakes per hour. The kitchen is available for 4 hours and 21 large cakes and 470 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?
| 10 | |
| 11 | |
| 13 | |
| 6 |
If a single cook can bake 3 large cakes per hour and the kitchen is available for 4 hours, a single cook can bake 3 x 4 = 12 large cakes during that time. 21 large cakes are needed for the party so \( \frac{21}{12} \) = 1\(\frac{3}{4}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 15 small cakes per hour and the kitchen is available for 4 hours, a single cook can bake 15 x 4 = 60 small cakes during that time. 470 small cakes are needed for the party so \( \frac{470}{60} \) = 7\(\frac{5}{6}\) 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 + 8 = 10 cooks.