| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.61 |
| Score | 0% | 72% |
What is the least common multiple of 3 and 5?
| 9 | |
| 3 | |
| 15 | |
| 12 |
The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 5 are [5, 10, 15, 20, 25, 30, 35, 40, 45, 50]. The first few multiples they share are [15, 30, 45, 60, 75] making 15 the smallest multiple 3 and 5 have in common.
A tiger in a zoo has consumed 40 pounds of food in 8 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 65 pounds?
| 8 | |
| 5 | |
| 11 | |
| 10 |
If the tiger has consumed 40 pounds of food in 8 days that's \( \frac{40}{8} \) = 5 pounds of food per day. The tiger needs to consume 65 - 40 = 25 more pounds of food to reach 65 pounds total. At 5 pounds of food per day that's \( \frac{25}{5} \) = 5 more days.
Which of the following is a mixed number?
\({7 \over 5} \) |
|
\(1 {2 \over 5} \) |
|
\({a \over 5} \) |
|
\({5 \over 7} \) |
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.
4! = ?
3 x 2 x 1 |
|
4 x 3 x 2 x 1 |
|
4 x 3 |
|
5 x 4 x 3 x 2 x 1 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
In a class of 36 students, 15 are taking German and 14 are taking Spanish. Of the students studying German or Spanish, 8 are taking both courses. How many students are not enrolled in either course?
| 35 | |
| 22 | |
| 12 | |
| 15 |
The number of students taking German or Spanish is 15 + 14 = 29. Of that group of 29, 8 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 29 - 8 = 21 who are taking at least one language. 36 - 21 = 15 students who are not taking either language.