| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.17 |
| Score | 0% | 63% |
If the ratio of home fans to visiting fans in a crowd is 5:1 and all 35,000 seats in a stadium are filled, how many home fans are in attendance?
| 37,500 | |
| 40,833 | |
| 29,167 | |
| 28,800 |
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:
35,000 fans x \( \frac{5}{6} \) = \( \frac{175000}{6} \) = 29,167 fans.
Simplify \( \frac{16}{64} \).
| \( \frac{5}{17} \) | |
| \( \frac{1}{4} \) | |
| \( \frac{1}{2} \) | |
| \( \frac{4}{7} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 16 are [1, 2, 4, 8, 16] and the factors of 64 are [1, 2, 4, 8, 16, 32, 64]. They share 5 factors [1, 2, 4, 8, 16] making 16 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{16}{64} \) = \( \frac{\frac{16}{16}}{\frac{64}{16}} \) = \( \frac{1}{4} \)
| 3.2 | |
| 4.0 | |
| 3.0 | |
| 1 |
1
Which of the following is not a prime number?
9 |
|
5 |
|
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.
What is \( \sqrt{\frac{25}{4}} \)?
| 2\(\frac{1}{2}\) | |
| \(\frac{5}{8}\) | |
| \(\frac{1}{3}\) | |
| 3\(\frac{1}{2}\) |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{25}{4}} \)
\( \frac{\sqrt{25}}{\sqrt{4}} \)
\( \frac{\sqrt{5^2}}{\sqrt{2^2}} \)
\( \frac{5}{2} \)
2\(\frac{1}{2}\)