| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.45 |
| Score | 0% | 69% |
What is the next number in this sequence: 1, 5, 13, 25, 41, __________ ?
| 59 | |
| 61 | |
| 53 | |
| 54 |
The equation for this sequence is:
an = an-1 + 4(n - 1)
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 4(6 - 1)
a6 = 41 + 4(5)
a6 = 61
A triathlon course includes a 300m swim, a 40.4km bike ride, and a 15.8km run. What is the total length of the race course?
| 49.4km | |
| 56.5km | |
| 58.6km | |
| 51.8km |
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 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 + 40.4km + 15.8km
total distance = 56.5km
Which of these numbers is a factor of 20?
| 2 | |
| 17 | |
| 11 | |
| 18 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 20 are 1, 2, 4, 5, 10, 20.
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common factor |
|
least common multiple |
|
greatest common factor |
|
absolute value |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
If a car travels 240 miles in 4 hours, what is the average speed?
| 35 mph | |
| 30 mph | |
| 60 mph | |
| 20 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)