| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.81 |
| Score | 0% | 56% |
The total water usage for a city is 35,000 gallons each day. Of that total, 18% is for personal use and 42% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 8,400 | |
| 5,400 | |
| 2,750 | |
| 6,650 |
42% of the water consumption is industrial use and 18% is personal use so (42% - 18%) = 24% more water is used for industrial purposes. 35,000 gallons are consumed daily so industry consumes \( \frac{24}{100} \) x 35,000 gallons = 8,400 gallons.
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 3 to 2 and the ratio of baseball to basketball cards is 3 to 1, what is the ratio of football to basketball cards?
| 7:4 | |
| 1:4 | |
| 9:2 | |
| 1:8 |
The ratio of football cards to baseball cards is 3:2 and the ratio of baseball cards to basketball cards is 3:1. 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 9:6 and the ratio of baseball cards to basketball cards as 6:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 9:6, 6:2 which reduces to 9:2.
Which of the following is not a prime number?
5 |
|
2 |
|
7 |
|
9 |
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 2 large cakes or 16 small cakes per hour. The kitchen is available for 4 hours and 32 large cakes and 440 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?
| 11 | |
| 7 | |
| 12 | |
| 14 |
If a single cook can bake 2 large cakes per hour and the kitchen is available for 4 hours, a single cook can bake 2 x 4 = 8 large cakes during that time. 32 large cakes are needed for the party so \( \frac{32}{8} \) = 4 cooks are needed to bake the required number of large cakes.
If a single cook can bake 16 small cakes per hour and the kitchen is available for 4 hours, a single cook can bake 16 x 4 = 64 small cakes during that time. 440 small cakes are needed for the party so \( \frac{440}{64} \) = 6\(\frac{7}{8}\) 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 4 + 7 = 11 cooks.
In a class of 29 students, 13 are taking German and 13 are taking Spanish. Of the students studying German or Spanish, 7 are taking both courses. How many students are not enrolled in either course?
| 29 | |
| 20 | |
| 10 | |
| 22 |
The number of students taking German or Spanish is 13 + 13 = 26. Of that group of 26, 7 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 26 - 7 = 19 who are taking at least one language. 29 - 19 = 10 students who are not taking either language.