| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.59 |
| Score | 0% | 72% |
Which of the following is not a prime number?
2 |
|
5 |
|
7 |
|
9 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
What is the least common multiple of 3 and 9?
| 25 | |
| 9 | |
| 19 | |
| 1 |
The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 9 are [9, 18, 27, 36, 45, 54, 63, 72, 81, 90]. The first few multiples they share are [9, 18, 27, 36, 45] making 9 the smallest multiple 3 and 9 have in common.
A factor is a positive __________ that divides evenly into a given number.
integer |
|
fraction |
|
mixed number |
|
improper fraction |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
What is -2c2 x 8c6?
| -16c2 | |
| -16c8 | |
| 6c6 | |
| -16c6 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
-2c2 x 8c6
(-2 x 8)c(2 + 6)
-16c8
A triathlon course includes a 400m swim, a 20.3km bike ride, and a 9.0km run. What is the total length of the race course?
| 49km | |
| 34.9km | |
| 31.3km | |
| 29.7km |
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 + 20.3km + 9.0km
total distance = 29.7km