| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.89 |
| Score | 0% | 58% |
Cooks are needed to prepare for a large party. Each cook can bake either 2 large cakes or 20 small cakes per hour. The kitchen is available for 2 hours and 34 large cakes and 100 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?
| 12 | |
| 9 | |
| 15 | |
| 54 |
If a single cook can bake 2 large cakes per hour and the kitchen is available for 2 hours, a single cook can bake 2 x 2 = 4 large cakes during that time. 34 large cakes are needed for the party so \( \frac{34}{4} \) = 8\(\frac{1}{2}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 20 small cakes per hour and the kitchen is available for 2 hours, a single cook can bake 20 x 2 = 40 small cakes during that time. 100 small cakes are needed for the party so \( \frac{100}{40} \) = 2\(\frac{1}{2}\) 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 9 + 3 = 12 cooks.
What is the least common multiple of 8 and 10?
| 18 | |
| 40 | |
| 5 | |
| 9 |
The first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [40, 80] making 40 the smallest multiple 8 and 10 have in common.
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 5 to 2 and the ratio of baseball to basketball cards is 5 to 1, what is the ratio of football to basketball cards?
| 1:6 | |
| 25:2 | |
| 7:8 | |
| 1:8 |
The ratio of football cards to baseball cards is 5:2 and the ratio of baseball cards to basketball cards is 5:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 25:10 and the ratio of baseball cards to basketball cards as 10:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 25:10, 10:2 which reduces to 25:2.
If there were a total of 150 raffle tickets sold and you bought 6 tickets, what's the probability that you'll win the raffle?
| 17% | |
| 18% | |
| 4% | |
| 14% |
You have 6 out of the total of 150 raffle tickets sold so you have a (\( \frac{6}{150} \)) x 100 = \( \frac{6 \times 100}{150} \) = \( \frac{600}{150} \) = 4% chance to win the raffle.
If \( \left|a + 4\right| \) - 5 = 9, which of these is a possible value for a?
| 3 | |
| -2 | |
| -18 | |
| 6 |
First, solve for \( \left|a + 4\right| \):
\( \left|a + 4\right| \) - 5 = 9
\( \left|a + 4\right| \) = 9 + 5
\( \left|a + 4\right| \) = 14
The value inside the absolute value brackets can be either positive or negative so (a + 4) must equal + 14 or -14 for \( \left|a + 4\right| \) to equal 14:
| a + 4 = 14 a = 14 - 4 a = 10 | a + 4 = -14 a = -14 - 4 a = -18 |
So, a = -18 or a = 10.