| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.52 |
| Score | 0% | 70% |
What is the next number in this sequence: 1, 3, 7, 13, 21, __________ ?
| 24 | |
| 31 | |
| 29 | |
| 40 |
The equation for this sequence is:
an = an-1 + 2(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 + 2(6 - 1)
a6 = 21 + 2(5)
a6 = 31
What is \( \frac{14\sqrt{35}}{7\sqrt{7}} \)?
| \(\frac{1}{2}\) \( \sqrt{5} \) | |
| 2 \( \sqrt{5} \) | |
| \(\frac{1}{5}\) \( \sqrt{2} \) | |
| \(\frac{1}{5}\) \( \sqrt{\frac{1}{2}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{14\sqrt{35}}{7\sqrt{7}} \)
\( \frac{14}{7} \) \( \sqrt{\frac{35}{7}} \)
2 \( \sqrt{5} \)
Which of the following is not a prime number?
5 |
|
9 |
|
2 |
|
7 |
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.
A triathlon course includes a 300m swim, a 50.1km bike ride, and a 5.5km run. What is the total length of the race course?
| 66.8km | |
| 55.9km | |
| 38.2km | |
| 42.4km |
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 + 50.1km + 5.5km
total distance = 55.9km
How many 8-passenger vans will it take to drive all 96 members of the football team to an away game?
| 3 vans | |
| 8 vans | |
| 12 vans | |
| 6 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{96}{8} \) = 12