| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.59 |
| Score | 0% | 72% |
What is the next number in this sequence: 1, 4, 10, 19, 31, __________ ?
| 46 | |
| 48 | |
| 50 | |
| 39 |
The equation for this sequence is:
an = an-1 + 3(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 + 3(6 - 1)
a6 = 31 + 3(5)
a6 = 46
How many hours does it take a car to travel 90 miles at an average speed of 30 miles per hour?
| 2 hours | |
| 4 hours | |
| 7 hours | |
| 3 hours |
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 time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{90mi}{30mph} \)
3 hours
If there were a total of 300 raffle tickets sold and you bought 18 tickets, what's the probability that you'll win the raffle?
| 16% | |
| 6% | |
| 11% | |
| 4% |
You have 18 out of the total of 300 raffle tickets sold so you have a (\( \frac{18}{300} \)) x 100 = \( \frac{18 \times 100}{300} \) = \( \frac{1800}{300} \) = 6% chance to win the raffle.
A triathlon course includes a 300m swim, a 30.6km bike ride, and a 12.7km run. What is the total length of the race course?
| 43.6km | |
| 49.6km | |
| 61km | |
| 67.2km |
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 + 30.6km + 12.7km
total distance = 43.6km
What is the greatest common factor of 64 and 64?
| 60 | |
| 64 | |
| 22 | |
| 3 |
The factors of 64 are [1, 2, 4, 8, 16, 32, 64] and the factors of 64 are [1, 2, 4, 8, 16, 32, 64]. They share 7 factors [1, 2, 4, 8, 16, 32, 64] making 64 the greatest factor 64 and 64 have in common.