| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.63 |
| Score | 0% | 73% |
In a class of 28 students, 11 are taking German and 14 are taking Spanish. Of the students studying German or Spanish, 3 are taking both courses. How many students are not enrolled in either course?
| 26 | |
| 6 | |
| 20 | |
| 27 |
The number of students taking German or Spanish is 11 + 14 = 25. Of that group of 25, 3 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 25 - 3 = 22 who are taking at least one language. 28 - 22 = 6 students who are not taking either language.
Find the average of the following numbers: 16, 12, 17, 11.
| 18 | |
| 14 | |
| 12 | |
| 11 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{16 + 12 + 17 + 11}{4} \) = \( \frac{56}{4} \) = 14
What is the least common multiple of 6 and 10?
| 30 | |
| 38 | |
| 23 | |
| 6 |
The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [30, 60, 90] making 30 the smallest multiple 6 and 10 have in common.
Which of these numbers is a factor of 32?
| 30 | |
| 5 | |
| 11 | |
| 1 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 32 are 1, 2, 4, 8, 16, 32.
Which of the following is a mixed number?
\({a \over 5} \) |
|
\(1 {2 \over 5} \) |
|
\({7 \over 5} \) |
|
\({5 \over 7} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.