| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.24 |
| Score | 0% | 65% |
A circular logo is enlarged to fit the lid of a jar. The new diameter is 70% larger than the original. By what percentage has the area of the logo increased?
| 15% | |
| 17\(\frac{1}{2}\)% | |
| 22\(\frac{1}{2}\)% | |
| 35% |
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 70% the radius (and, consequently, the total area) increases by \( \frac{70\text{%}}{2} \) = 35%
What is \( \frac{4}{7} \) x \( \frac{2}{8} \)?
| \(\frac{1}{14}\) | |
| \(\frac{1}{7}\) | |
| \(\frac{2}{15}\) | |
| 1 |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{7} \) x \( \frac{2}{8} \) = \( \frac{4 x 2}{7 x 8} \) = \( \frac{8}{56} \) = \(\frac{1}{7}\)
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
associative |
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commutative |
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distributive |
|
PEDMAS |
The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.
12 members of a bridal party need transported to a wedding reception but there are only 4 2-passenger taxis available to take them. How many will need to find other transportation?
| 2 | |
| 8 | |
| 9 | |
| 4 |
There are 4 2-passenger taxis available so that's 4 x 2 = 8 total seats. There are 12 people needing transportation leaving 12 - 8 = 4 who will have to find other transportation.
What is 9b6 + 8b6?
| 17b12 | |
| 17b6 | |
| 17b36 | |
| b-6 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
9b6 + 8b6
(9 + 8)b6
17b6