| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.11 |
| Score | 0% | 62% |
4! = ?
3 x 2 x 1 |
|
5 x 4 x 3 x 2 x 1 |
|
4 x 3 |
|
4 x 3 x 2 x 1 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
Which of the following is not a prime number?
2 |
|
9 |
|
7 |
|
5 |
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 3\( \sqrt{5} \) x 5\( \sqrt{6} \)?
| 8\( \sqrt{30} \) | |
| 15\( \sqrt{11} \) | |
| 15\( \sqrt{30} \) | |
| 15\( \sqrt{5} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
3\( \sqrt{5} \) x 5\( \sqrt{6} \)
(3 x 5)\( \sqrt{5 \times 6} \)
15\( \sqrt{30} \)
A triathlon course includes a 300m swim, a 40.5km bike ride, and a 15.6km run. What is the total length of the race course?
| 38.9km | |
| 31.8km | |
| 56.4km | |
| 57.6km |
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 + 40.5km + 15.6km
total distance = 56.4km
Solve 2 + (3 + 4) ÷ 2 x 5 - 42
| 1\(\frac{1}{8}\) | |
| 2 | |
| 3\(\frac{1}{2}\) | |
| \(\frac{3}{8}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
2 + (3 + 4) ÷ 2 x 5 - 42
P: 2 + (7) ÷ 2 x 5 - 42
E: 2 + 7 ÷ 2 x 5 - 16
MD: 2 + \( \frac{7}{2} \) x 5 - 16
MD: 2 + \( \frac{35}{2} \) - 16
AS: \( \frac{4}{2} \) + \( \frac{35}{2} \) - 16
AS: \( \frac{39}{2} \) - 16
AS: \( \frac{39 - 32}{2} \)
\( \frac{7}{2} \)
3\(\frac{1}{2}\)