| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.55 |
| Score | 0% | 71% |
Ezra loaned Jennifer $600 at an annual interest rate of 2%. If no payments are made, what is the total amount owed at the end of the first year?
| $606 | |
| $612 | |
| $648 | |
| $630 |
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 $600
i = 0.02 x $600
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $600 + $12What is the greatest common factor of 16 and 36?
| 12 | |
| 4 | |
| 13 | |
| 15 |
The factors of 16 are [1, 2, 4, 8, 16] and the factors of 36 are [1, 2, 3, 4, 6, 9, 12, 18, 36]. They share 3 factors [1, 2, 4] making 4 the greatest factor 16 and 36 have in common.
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?
| 27\(\frac{1}{2}\)% | |
| 30% | |
| 37\(\frac{1}{2}\)% | |
| 25% |
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%
If a car travels 245 miles in 7 hours, what is the average speed?
| 40 mph | |
| 45 mph | |
| 35 mph | |
| 65 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)A triathlon course includes a 300m swim, a 50.9km bike ride, and a 5.0km run. What is the total length of the race course?
| 56.2km | |
| 59.9km | |
| 31.8km | |
| 66.9km |
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 300 meters to kilometers, divide the distance by 1000 to get 0.3km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.3km + 50.9km + 5.0km
total distance = 56.2km