| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
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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commutative |
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PEDMAS |
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associative |
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.
If the ratio of home fans to visiting fans in a crowd is 2:1 and all 46,000 seats in a stadium are filled, how many home fans are in attendance?
| 33,000 | |
| 24,000 | |
| 33,750 | |
| 30,667 |
A ratio of 2:1 means that there are 2 home fans for every one visiting fan. So, of every 3 fans, 2 are home fans and \( \frac{2}{3} \) of every fan in the stadium is a home fan:
46,000 fans x \( \frac{2}{3} \) = \( \frac{92000}{3} \) = 30,667 fans.
How many hours does it take a car to travel 375 miles at an average speed of 75 miles per hour?
| 5 hours | |
| 2 hours | |
| 4 hours | |
| 6 hours |
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 time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{375mi}{75mph} \)
5 hours
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?
| 17\(\frac{1}{2}\)% | |
| 22\(\frac{1}{2}\)% | |
| 27\(\frac{1}{2}\)% | |
| 37\(\frac{1}{2}\)% |
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\(\frac{1}{2}\)%
15 members of a bridal party need transported to a wedding reception but there are only 4 3-passenger taxis available to take them. How many will need to find other transportation?
| 5 | |
| 3 | |
| 9 | |
| 2 |
There are 4 3-passenger taxis available so that's 4 x 3 = 12 total seats. There are 15 people needing transportation leaving 15 - 12 = 3 who will have to find other transportation.