| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.37 |
| Score | 0% | 67% |
What is the distance in miles of a trip that takes 1 hour at an average speed of 65 miles per hour?
| 65 miles | |
| 160 miles | |
| 40 miles | |
| 585 miles |
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 distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 65mph \times 1h \)
65 miles
A triathlon course includes a 200m swim, a 30.5km bike ride, and a 12.5km run. What is the total length of the race course?
| 41.2km | |
| 43.2km | |
| 28km | |
| 45.8km |
To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 200 meters to kilometers, divide the distance by 1000 to get 0.2km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.2km + 30.5km + 12.5km
total distance = 43.2km
If there were a total of 150 raffle tickets sold and you bought 13 tickets, what's the probability that you'll win the raffle?
| 9% | |
| 8% | |
| 4% | |
| 11% |
You have 13 out of the total of 150 raffle tickets sold so you have a (\( \frac{13}{150} \)) x 100 = \( \frac{13 \times 100}{150} \) = \( \frac{1300}{150} \) = 9% chance to win the raffle.
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?
| 37\(\frac{1}{2}\)% | |
| 27\(\frac{1}{2}\)% | |
| 32\(\frac{1}{2}\)% | |
| 30% |
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\(\frac{1}{2}\)%
Ezra loaned Betty $200 at an annual interest rate of 5%. If no payments are made, what is the total amount owed at the end of the first year?
| $212 | |
| $204 | |
| $210 | |
| $202 |
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 $200
i = 0.05 x $200
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $200 + $10