| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.44 |
| Score | 0% | 69% |
Which of the following is not an integer?
\({1 \over 2}\) |
|
0 |
|
-1 |
|
1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 9 to 2 and the ratio of baseball to basketball cards is 9 to 1, what is the ratio of football to basketball cards?
| 7:2 | |
| 1:1 | |
| 9:6 | |
| 81:2 |
The ratio of football cards to baseball cards is 9:2 and the ratio of baseball cards to basketball cards is 9:1. 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 81:18 and the ratio of baseball cards to basketball cards as 18:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 81:18, 18:2 which reduces to 81:2.
13 members of a bridal party need transported to a wedding reception but there are only 3 4-passenger taxis available to take them. How many will need to find other transportation?
| 1 | |
| 6 | |
| 3 | |
| 7 |
There are 3 4-passenger taxis available so that's 3 x 4 = 12 total seats. There are 13 people needing transportation leaving 13 - 12 = 1 who will have to find other transportation.
What is \( \frac{2}{7} \) x \( \frac{3}{9} \)?
| \(\frac{2}{21}\) | |
| \(\frac{1}{15}\) | |
| \(\frac{4}{15}\) | |
| \(\frac{1}{5}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{7} \) x \( \frac{3}{9} \) = \( \frac{2 x 3}{7 x 9} \) = \( \frac{6}{63} \) = \(\frac{2}{21}\)
In a class of 20 students, 7 are taking German and 11 are taking Spanish. Of the students studying German or Spanish, 4 are taking both courses. How many students are not enrolled in either course?
| 19 | |
| 6 | |
| 17 | |
| 10 |
The number of students taking German or Spanish is 7 + 11 = 18. Of that group of 18, 4 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 18 - 4 = 14 who are taking at least one language. 20 - 14 = 6 students who are not taking either language.