| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.01 |
| Score | 0% | 60% |
If a mayor is elected with 58% of the votes cast and 41% of a town's 48,000 voters cast a vote, how many votes did the mayor receive?
| 11,021 | |
| 13,776 | |
| 11,414 | |
| 16,334 |
If 41% of the town's 48,000 voters cast ballots the number of votes cast is:
(\( \frac{41}{100} \)) x 48,000 = \( \frac{1,968,000}{100} \) = 19,680
The mayor got 58% of the votes cast which is:
(\( \frac{58}{100} \)) x 19,680 = \( \frac{1,141,440}{100} \) = 11,414 votes.
What is 7y5 x 4y6?
| 28y5 | |
| 28y6 | |
| 28y11 | |
| 28y-1 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
7y5 x 4y6
(7 x 4)y(5 + 6)
28y11
A bread recipe calls for 2\(\frac{7}{8}\) cups of flour. If you only have 1\(\frac{5}{8}\) cups, how much more flour is needed?
| 2\(\frac{3}{4}\) cups | |
| 1\(\frac{3}{4}\) cups | |
| 1\(\frac{1}{4}\) cups | |
| 1\(\frac{1}{8}\) cups |
The amount of flour you need is (2\(\frac{7}{8}\) - 1\(\frac{5}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{23}{8} \) - \( \frac{13}{8} \)) cups
\( \frac{10}{8} \) cups
1\(\frac{1}{4}\) cups
In a class of 28 students, 12 are taking German and 8 are taking Spanish. Of the students studying German or Spanish, 6 are taking both courses. How many students are not enrolled in either course?
| 21 | |
| 14 | |
| 23 | |
| 13 |
The number of students taking German or Spanish is 12 + 8 = 20. Of that group of 20, 6 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 20 - 6 = 14 who are taking at least one language. 28 - 14 = 14 students who are not taking either language.
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% | |
| 25% | |
| 32\(\frac{1}{2}\)% | |
| 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 65% the radius (and, consequently, the total area) increases by \( \frac{65\text{%}}{2} \) = 32\(\frac{1}{2}\)%