| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.32 |
| Score | 0% | 66% |
A circular logo is enlarged to fit the lid of a jar. The new diameter is 60% larger than the original. By what percentage has the area of the logo increased?
| 25% | |
| 15% | |
| 17\(\frac{1}{2}\)% | |
| 30% |
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 60% the radius (and, consequently, the total area) increases by \( \frac{60\text{%}}{2} \) = 30%
If there were a total of 150 raffle tickets sold and you bought 7 tickets, what's the probability that you'll win the raffle?
| 16% | |
| 1% | |
| 5% | |
| 3% |
You have 7 out of the total of 150 raffle tickets sold so you have a (\( \frac{7}{150} \)) x 100 = \( \frac{7 \times 100}{150} \) = \( \frac{700}{150} \) = 5% chance to win the raffle.
6 members of a bridal party need transported to a wedding reception but there are only 2 2-passenger taxis available to take them. How many will need to find other transportation?
| 2 | |
| 6 | |
| 7 | |
| 9 |
There are 2 2-passenger taxis available so that's 2 x 2 = 4 total seats. There are 6 people needing transportation leaving 6 - 4 = 2 who will have to find other transportation.
What is the distance in miles of a trip that takes 9 hours at an average speed of 75 miles per hour?
| 450 miles | |
| 360 miles | |
| 50 miles | |
| 675 miles |
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 distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 75mph \times 9h \)
675 miles
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
commutative |
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PEDMAS |
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distributive |
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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.