| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.25 |
| Score | 0% | 65% |
A factor is a positive __________ that divides evenly into a given number.
improper fraction |
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fraction |
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integer |
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mixed number |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
A circular logo is enlarged to fit the lid of a jar. The new diameter is 65% larger than the original. By what percentage has the area of the logo increased?
| 20% | |
| 37\(\frac{1}{2}\)% | |
| 17\(\frac{1}{2}\)% | |
| 32\(\frac{1}{2}\)% |
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 65% the radius (and, consequently, the total area) increases by \( \frac{65\text{%}}{2} \) = 32\(\frac{1}{2}\)%
| 2.0 | |
| 4.0 | |
| 1 | |
| 6.3 |
1
What is \( \sqrt{\frac{36}{81}} \)?
| \(\frac{2}{3}\) | |
| 2\(\frac{1}{3}\) | |
| \(\frac{1}{2}\) | |
| \(\frac{3}{4}\) |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{36}{81}} \)
\( \frac{\sqrt{36}}{\sqrt{81}} \)
\( \frac{\sqrt{6^2}}{\sqrt{9^2}} \)
\(\frac{2}{3}\)
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 40% off." If Damon buys two shirts, each with a regular price of $38, how much money will he save?
| $15.20 | |
| $3.80 | |
| $1.90 | |
| $13.30 |
By buying two shirts, Damon will save $38 x \( \frac{40}{100} \) = \( \frac{$38 x 40}{100} \) = \( \frac{$1520}{100} \) = $15.20 on the second shirt.