| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.78 |
| Score | 0% | 76% |
4! = ?
4 x 3 |
|
4 x 3 x 2 x 1 |
|
3 x 2 x 1 |
|
5 x 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.
What is 2b6 x 3b4?
| 6b4 | |
| 6b-2 | |
| 6b10 | |
| 5b10 |
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:
2b6 x 3b4
(2 x 3)b(6 + 4)
6b10
How many 12-passenger vans will it take to drive all 48 members of the football team to an away game?
| 6 vans | |
| 13 vans | |
| 4 vans | |
| 5 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{48}{12} \) = 4
How many 2\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 25 gallon tank to fill it exactly halfway?
| 5 | |
| 7 | |
| 8 | |
| 10 |
To fill a 25 gallon tank exactly halfway you'll need 12\(\frac{1}{2}\) gallons of fuel. Each fuel can holds 2\(\frac{1}{2}\) gallons so:
cans = \( \frac{12\frac{1}{2} \text{ gallons}}{2\frac{1}{2} \text{ gallons}} \) = 5
What is the distance in miles of a trip that takes 7 hours at an average speed of 45 miles per hour?
| 600 miles | |
| 50 miles | |
| 315 miles | |
| 150 miles |
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 distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 45mph \times 7h \)
315 miles