| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.50 |
| Score | 0% | 70% |
If a mayor is elected with 55% of the votes cast and 80% of a town's 23,000 voters cast a vote, how many votes did the mayor receive?
| 11,960 | |
| 10,120 | |
| 12,512 | |
| 9,752 |
If 80% of the town's 23,000 voters cast ballots the number of votes cast is:
(\( \frac{80}{100} \)) x 23,000 = \( \frac{1,840,000}{100} \) = 18,400
The mayor got 55% of the votes cast which is:
(\( \frac{55}{100} \)) x 18,400 = \( \frac{1,012,000}{100} \) = 10,120 votes.
How many hours does it take a car to travel 200 miles at an average speed of 40 miles per hour?
| 6 hours | |
| 1 hour | |
| 5 hours | |
| 2 hours |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{200mi}{40mph} \)
5 hours
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 3 to 2 and the ratio of baseball to basketball cards is 3 to 1, what is the ratio of football to basketball cards?
| 1:1 | |
| 3:2 | |
| 5:4 | |
| 9:2 |
The ratio of football cards to baseball cards is 3:2 and the ratio of baseball cards to basketball cards is 3:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 9:6 and the ratio of baseball cards to basketball cards as 6:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 9:6, 6:2 which reduces to 9:2.
What is the next number in this sequence: 1, 4, 7, 10, 13, __________ ?
| 9 | |
| 16 | |
| 21 | |
| 14 |
The equation for this sequence is:
an = an-1 + 3
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 3
a6 = 13 + 3
a6 = 16
What is the next number in this sequence: 1, 5, 13, 25, 41, __________ ?
| 65 | |
| 61 | |
| 57 | |
| 60 |
The equation for this sequence is:
an = an-1 + 4(n - 1)
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 4(6 - 1)
a6 = 41 + 4(5)
a6 = 61