| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.50 |
| Score | 0% | 70% |
What is the greatest common factor of 68 and 76?
| 21 | |
| 44 | |
| 4 | |
| 8 |
The factors of 68 are [1, 2, 4, 17, 34, 68] and the factors of 76 are [1, 2, 4, 19, 38, 76]. They share 3 factors [1, 2, 4] making 4 the greatest factor 68 and 76 have in common.
Which of these numbers is a factor of 56?
| 7 | |
| 52 | |
| 56 | |
| 45 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56.
A triathlon course includes a 400m swim, a 50.1km bike ride, and a 9.8km run. What is the total length of the race course?
| 47km | |
| 62.9km | |
| 62.2km | |
| 60.3km |
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 400 meters to kilometers, divide the distance by 1000 to get 0.4km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.4km + 50.1km + 9.8km
total distance = 60.3km
What is 2c6 + 7c6?
| -5c6 | |
| 9c-12 | |
| 9c12 | |
| 9c6 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
2c6 + 7c6
(2 + 7)c6
9c6
Roger loaned Monica $1,100 at an annual interest rate of 6%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,188 | |
| $1,166 | |
| $1,111 | |
| $1,155 |
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 $1,100
i = 0.06 x $1,100
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,100 + $66