| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.11 |
| Score | 0% | 62% |
A circular logo is enlarged to fit the lid of a jar. The new diameter is 45% larger than the original. By what percentage has the area of the logo increased?
| 30% | |
| 17\(\frac{1}{2}\)% | |
| 32\(\frac{1}{2}\)% | |
| 22\(\frac{1}{2}\)% |
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 45% the radius (and, consequently, the total area) increases by \( \frac{45\text{%}}{2} \) = 22\(\frac{1}{2}\)%
What is (c3)4?
| c12 | |
| c | |
| 4c3 | |
| 3c4 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(c3)4
| 2.7 | |
| 1 | |
| 2.8 | |
| 5.4 |
1
What is \( \frac{2}{5} \) ÷ \( \frac{2}{7} \)?
| \(\frac{2}{7}\) | |
| 1\(\frac{2}{5}\) | |
| \(\frac{1}{27}\) | |
| 2\(\frac{4}{5}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{2}{5} \) ÷ \( \frac{2}{7} \) = \( \frac{2}{5} \) x \( \frac{7}{2} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{5} \) x \( \frac{7}{2} \) = \( \frac{2 x 7}{5 x 2} \) = \( \frac{14}{10} \) = 1\(\frac{2}{5}\)
Christine scored 95% on her final exam. If each question was worth 4 points and there were 240 possible points on the exam, how many questions did Christine answer correctly?
| 49 | |
| 68 | |
| 57 | |
| 53 |
Christine scored 95% on the test meaning she earned 95% of the possible points on the test. There were 240 possible points on the test so she earned 240 x 0.95 = 228 points. Each question is worth 4 points so she got \( \frac{228}{4} \) = 57 questions right.