| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.15 |
| Score | 0% | 63% |
The __________ is the smallest positive integer that is a multiple of two or more integers.
greatest common factor |
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least common factor |
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absolute value |
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least common multiple |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
A circular logo is enlarged to fit the lid of a jar. The new diameter is 60% larger than the original. By what percentage has the area of the logo increased?
| 32\(\frac{1}{2}\)% | |
| 30% | |
| 35% | |
| 25% |
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 60% the radius (and, consequently, the total area) increases by \( \frac{60\text{%}}{2} \) = 30%
What is \( \frac{4}{6} \) x \( \frac{2}{6} \)?
| \(\frac{1}{12}\) | |
| \(\frac{4}{35}\) | |
| \(\frac{3}{28}\) | |
| \(\frac{2}{9}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{6} \) x \( \frac{2}{6} \) = \( \frac{4 x 2}{6 x 6} \) = \( \frac{8}{36} \) = \(\frac{2}{9}\)
Find the average of the following numbers: 13, 7, 11, 9.
| 10 | |
| 15 | |
| 7 | |
| 9 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{13 + 7 + 11 + 9}{4} \) = \( \frac{40}{4} \) = 10
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
commutative |
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distributive |
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associative |
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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.