| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.20 |
| Score | 0% | 64% |
Which of these numbers is a factor of 72?
| 12 | |
| 15 | |
| 13 | |
| 35 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
PEDMAS |
|
associative |
|
distributive |
|
commutative |
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.
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?
| 37\(\frac{1}{2}\)% | |
| 17\(\frac{1}{2}\)% | |
| 20% | |
| 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 35% the radius (and, consequently, the total area) increases by \( \frac{35\text{%}}{2} \) = 17\(\frac{1}{2}\)%
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Frank buys two shirts, each with a regular price of $23, how much will he pay for both shirts?
| $25.30 | |
| $28.75 | |
| $42.55 | |
| $19.55 |
By buying two shirts, Frank will save $23 x \( \frac{15}{100} \) = \( \frac{$23 x 15}{100} \) = \( \frac{$345}{100} \) = $3.45 on the second shirt.
So, his total cost will be
$23.00 + ($23.00 - $3.45)
$23.00 + $19.55
$42.55
If a car travels 240 miles in 4 hours, what is the average speed?
| 60 mph | |
| 35 mph | |
| 75 mph | |
| 55 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)