| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.14 |
| Score | 0% | 63% |
How many hours does it take a car to travel 280 miles at an average speed of 40 miles per hour?
| 8 hours | |
| 7 hours | |
| 3 hours | |
| 1 hour |
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 = \( \frac{280mi}{40mph} \)
7 hours
Monty loaned Christine $900 at an annual interest rate of 4%. If no payments are made, what is the total amount owed at the end of the first year?
| $909 | |
| $927 | |
| $936 | |
| $945 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $900
i = 0.04 x $900
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $900 + $36A circular logo is enlarged to fit the lid of a jar. The new diameter is 75% larger than the original. By what percentage has the area of the logo increased?
| 20% | |
| 35% | |
| 27\(\frac{1}{2}\)% | |
| 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 75% the radius (and, consequently, the total area) increases by \( \frac{75\text{%}}{2} \) = 37\(\frac{1}{2}\)%
Monica scored 92% on her final exam. If each question was worth 3 points and there were 300 possible points on the exam, how many questions did Monica answer correctly?
| 92 | |
| 89 | |
| 88 | |
| 95 |
Monica scored 92% on the test meaning she earned 92% of the possible points on the test. There were 300 possible points on the test so she earned 300 x 0.92 = 276 points. Each question is worth 3 points so she got \( \frac{276}{3} \) = 92 questions right.
If a mayor is elected with 85% of the votes cast and 43% of a town's 26,000 voters cast a vote, how many votes did the mayor receive?
| 6,484 | |
| 5,702 | |
| 7,826 | |
| 9,503 |
If 43% of the town's 26,000 voters cast ballots the number of votes cast is:
(\( \frac{43}{100} \)) x 26,000 = \( \frac{1,118,000}{100} \) = 11,180
The mayor got 85% of the votes cast which is:
(\( \frac{85}{100} \)) x 11,180 = \( \frac{950,300}{100} \) = 9,503 votes.