| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.44 |
| Score | 0% | 69% |
A circular logo is enlarged to fit the lid of a jar. The new diameter is 35% larger than the original. By what percentage has the area of the logo increased?
| 20% | |
| 17\(\frac{1}{2}\)% | |
| 32\(\frac{1}{2}\)% | |
| 15% |
The area of a circle is given by the formula A = πr2 where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))2. If the diameter of the logo increases by 35% the radius (and, consequently, the total area) increases by \( \frac{35\text{%}}{2} \) = 17\(\frac{1}{2}\)%
Find the average of the following numbers: 8, 6, 10, 4.
| 3 | |
| 8 | |
| 7 | |
| 9 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{8 + 6 + 10 + 4}{4} \) = \( \frac{28}{4} \) = 7
| 6.4 | |
| 4.0 | |
| 8.1 | |
| 1 |
1
What is the greatest common factor of 36 and 20?
| 14 | |
| 3 | |
| 4 | |
| 19 |
The factors of 36 are [1, 2, 3, 4, 6, 9, 12, 18, 36] and the factors of 20 are [1, 2, 4, 5, 10, 20]. They share 3 factors [1, 2, 4] making 4 the greatest factor 36 and 20 have in common.
4! = ?
5 x 4 x 3 x 2 x 1 |
|
4 x 3 |
|
3 x 2 x 1 |
|
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.