| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.88 |
| Score | 0% | 58% |
If the ratio of home fans to visiting fans in a crowd is 4:1 and all 39,000 seats in a stadium are filled, how many home fans are in attendance?
| 38,400 | |
| 28,667 | |
| 31,200 | |
| 39,200 |
A ratio of 4:1 means that there are 4 home fans for every one visiting fan. So, of every 5 fans, 4 are home fans and \( \frac{4}{5} \) of every fan in the stadium is a home fan:
39,000 fans x \( \frac{4}{5} \) = \( \frac{156000}{5} \) = 31,200 fans.
Simplify \( \sqrt{27} \)
| 5\( \sqrt{6} \) | |
| 5\( \sqrt{3} \) | |
| 4\( \sqrt{3} \) | |
| 3\( \sqrt{3} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{27} \)
\( \sqrt{9 \times 3} \)
\( \sqrt{3^2 \times 3} \)
3\( \sqrt{3} \)
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
distributive |
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associative |
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commutative |
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PEDMAS |
The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.
Which of the following is not a prime number?
7 |
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2 |
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9 |
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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.
A circular logo is enlarged to fit the lid of a jar. The new diameter is 55% larger than the original. By what percentage has the area of the logo increased?
| 37\(\frac{1}{2}\)% | |
| 17\(\frac{1}{2}\)% | |
| 27\(\frac{1}{2}\)% | |
| 35% |
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 55% the radius (and, consequently, the total area) increases by \( \frac{55\text{%}}{2} \) = 27\(\frac{1}{2}\)%