| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.74 |
| Score | 0% | 55% |
If a mayor is elected with 86% of the votes cast and 84% of a town's 50,000 voters cast a vote, how many votes did the mayor receive?
| 35,280 | |
| 26,460 | |
| 36,120 | |
| 24,780 |
If 84% of the town's 50,000 voters cast ballots the number of votes cast is:
(\( \frac{84}{100} \)) x 50,000 = \( \frac{4,200,000}{100} \) = 42,000
The mayor got 86% of the votes cast which is:
(\( \frac{86}{100} \)) x 42,000 = \( \frac{3,612,000}{100} \) = 36,120 votes.
Which of the following is an improper fraction?
\({7 \over 5} \) |
|
\(1 {2 \over 5} \) |
|
\({a \over 5} \) |
|
\({2 \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.
How many 1 gallon cans worth of fuel would you need to pour into an empty 6 gallon tank to fill it exactly halfway?
| 7 | |
| 2 | |
| 6 | |
| 3 |
To fill a 6 gallon tank exactly halfway you'll need 3 gallons of fuel. Each fuel can holds 1 gallons so:
cans = \( \frac{3 \text{ gallons}}{1 \text{ gallons}} \) = 3
If the ratio of home fans to visiting fans in a crowd is 3:1 and all 36,000 seats in a stadium are filled, how many home fans are in attendance?
| 27,000 | |
| 34,500 | |
| 23,250 | |
| 28,500 |
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:
36,000 fans x \( \frac{3}{4} \) = \( \frac{108000}{4} \) = 27,000 fans.
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?
| 17\(\frac{1}{2}\)% | |
| 25% | |
| 35% | |
| 37\(\frac{1}{2}\)% |
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 50% the radius (and, consequently, the total area) increases by \( \frac{50\text{%}}{2} \) = 25%