| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
A circular logo is enlarged to fit the lid of a jar. The new diameter is 30% larger than the original. By what percentage has the area of the logo increased?
| 15% | |
| 17\(\frac{1}{2}\)% | |
| 25% | |
| 27\(\frac{1}{2}\)% |
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 30% the radius (and, consequently, the total area) increases by \( \frac{30\text{%}}{2} \) = 15%
A factor is a positive __________ that divides evenly into a given number.
mixed number |
|
fraction |
|
integer |
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improper fraction |
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.
Diane scored 86% on her final exam. If each question was worth 3 points and there were 150 possible points on the exam, how many questions did Diane answer correctly?
| 58 | |
| 32 | |
| 51 | |
| 43 |
Diane scored 86% on the test meaning she earned 86% of the possible points on the test. There were 150 possible points on the test so she earned 150 x 0.86 = 129 points. Each question is worth 3 points so she got \( \frac{129}{3} \) = 43 questions right.
If the ratio of home fans to visiting fans in a crowd is 3:1 and all 42,000 seats in a stadium are filled, how many home fans are in attendance?
| 27,750 | |
| 34,167 | |
| 31,667 | |
| 31,500 |
A ratio of 3:1 means that there are 3 home fans for every one visiting fan. So, of every 4 fans, 3 are home fans and \( \frac{3}{4} \) of every fan in the stadium is a home fan:
42,000 fans x \( \frac{3}{4} \) = \( \frac{126000}{4} \) = 31,500 fans.
What is \( \frac{4}{8} \) x \( \frac{3}{9} \)?
| \(\frac{4}{21}\) | |
| 1\(\frac{1}{3}\) | |
| \(\frac{1}{6}\) | |
| \(\frac{1}{48}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{8} \) x \( \frac{3}{9} \) = \( \frac{4 x 3}{8 x 9} \) = \( \frac{12}{72} \) = \(\frac{1}{6}\)