| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
If the ratio of home fans to visiting fans in a crowd is 5:1 and all 50,000 seats in a stadium are filled, how many home fans are in attendance?
| 41,667 | |
| 32,250 | |
| 26,667 | |
| 29,167 |
A ratio of 5:1 means that there are 5 home fans for every one visiting fan. So, of every 6 fans, 5 are home fans and \( \frac{5}{6} \) of every fan in the stadium is a home fan:
50,000 fans x \( \frac{5}{6} \) = \( \frac{250000}{6} \) = 41,667 fans.
4! = ?
3 x 2 x 1 |
|
4 x 3 x 2 x 1 |
|
5 x 4 x 3 x 2 x 1 |
|
4 x 3 |
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 the next number in this sequence: 1, 3, 7, 13, 21, __________ ?
| 39 | |
| 22 | |
| 38 | |
| 31 |
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
How many 2 gallon cans worth of fuel would you need to pour into an empty 16 gallon tank to fill it exactly halfway?
| 8 | |
| 4 | |
| 3 | |
| 5 |
To fill a 16 gallon tank exactly halfway you'll need 8 gallons of fuel. Each fuel can holds 2 gallons so:
cans = \( \frac{8 \text{ gallons}}{2 \text{ gallons}} \) = 4
Solve 5 + (2 + 4) ÷ 4 x 5 - 32
| 3\(\frac{1}{2}\) | |
| 2\(\frac{1}{2}\) | |
| 2\(\frac{1}{4}\) | |
| 1\(\frac{1}{2}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
5 + (2 + 4) ÷ 4 x 5 - 32
P: 5 + (6) ÷ 4 x 5 - 32
E: 5 + 6 ÷ 4 x 5 - 9
MD: 5 + \( \frac{6}{4} \) x 5 - 9
MD: 5 + \( \frac{30}{4} \) - 9
AS: \( \frac{20}{4} \) + \( \frac{30}{4} \) - 9
AS: \( \frac{50}{4} \) - 9
AS: \( \frac{50 - 36}{4} \)
\( \frac{14}{4} \)
3\(\frac{1}{2}\)