| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.20 |
| Score | 0% | 64% |
Jennifer scored 90% on her final exam. If each question was worth 2 points and there were 160 possible points on the exam, how many questions did Jennifer answer correctly?
| 82 | |
| 72 | |
| 83 | |
| 77 |
Jennifer scored 90% on the test meaning she earned 90% of the possible points on the test. There were 160 possible points on the test so she earned 160 x 0.9 = 144 points. Each question is worth 2 points so she got \( \frac{144}{2} \) = 72 questions right.
What is \( \frac{2}{9} \) x \( \frac{2}{9} \)?
| \(\frac{1}{12}\) | |
| \(\frac{3}{16}\) | |
| \(\frac{4}{9}\) | |
| \(\frac{4}{81}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{9} \) x \( \frac{2}{9} \) = \( \frac{2 x 2}{9 x 9} \) = \( \frac{4}{81} \) = \(\frac{4}{81}\)
In a class of 18 students, 8 are taking German and 8 are taking Spanish. Of the students studying German or Spanish, 4 are taking both courses. How many students are not enrolled in either course?
| 6 | |
| 12 | |
| 15 | |
| 17 |
The number of students taking German or Spanish is 8 + 8 = 16. Of that group of 16, 4 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 16 - 4 = 12 who are taking at least one language. 18 - 12 = 6 students who are not taking either language.
A circular logo is enlarged to fit the lid of a jar. The new diameter is 50% larger than the original. By what percentage has the area of the logo increased?
| 35% | |
| 20% | |
| 22\(\frac{1}{2}\)% | |
| 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 50% the radius (and, consequently, the total area) increases by \( \frac{50\text{%}}{2} \) = 25%
Find the average of the following numbers: 13, 7, 12, 8.
| 6 | |
| 10 | |
| 9 | |
| 12 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{13 + 7 + 12 + 8}{4} \) = \( \frac{40}{4} \) = 10