| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.20 |
| Score | 0% | 64% |
4! = ?
4 x 3 |
|
3 x 2 x 1 |
|
4 x 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.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Charlie buys two shirts, each with a regular price of $23, how much will he pay for both shirts?
| $33.35 | |
| $3.45 | |
| $31.05 | |
| $42.55 |
By buying two shirts, Charlie will save $23 x \( \frac{15}{100} \) = \( \frac{$23 x 15}{100} \) = \( \frac{$345}{100} \) = $3.45 on the second shirt.
So, his total cost will be
$23.00 + ($23.00 - $3.45)
$23.00 + $19.55
$42.55
What is 2b5 x 7b7?
| 9b5 | |
| 14b12 | |
| 14b7 | |
| 14b-2 |
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:
2b5 x 7b7
(2 x 7)b(5 + 7)
14b12
How many 2 gallon cans worth of fuel would you need to pour into an empty 20 gallon tank to fill it exactly halfway?
| 2 | |
| 10 | |
| 3 | |
| 5 |
To fill a 20 gallon tank exactly halfway you'll need 10 gallons of fuel. Each fuel can holds 2 gallons so:
cans = \( \frac{10 \text{ gallons}}{2 \text{ gallons}} \) = 5
A circular logo is enlarged to fit the lid of a jar. The new diameter is 35% larger than the original. By what percentage has the area of the logo increased?
| 37\(\frac{1}{2}\)% | |
| 25% | |
| 17\(\frac{1}{2}\)% | |
| 27\(\frac{1}{2}\)% |
The area of a circle is given by the formula A = πr2 where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))2. If the diameter of the logo increases by 35% the radius (and, consequently, the total area) increases by \( \frac{35\text{%}}{2} \) = 17\(\frac{1}{2}\)%