| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.27 |
| Score | 0% | 65% |
How many hours does it take a car to travel 225 miles at an average speed of 25 miles per hour?
| 8 hours | |
| 9 hours | |
| 4 hours | |
| 2 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 = \( \frac{225mi}{25mph} \)
9 hours
If all of a roofing company's 8 workers are required to staff 2 roofing crews, how many workers need to be added during the busy season in order to send 4 complete crews out on jobs?
| 8 | |
| 5 | |
| 12 | |
| 10 |
In order to find how many additional workers are needed to staff the extra crews you first need to calculate how many workers are on a crew. There are 8 workers at the company now and that's enough to staff 2 crews so there are \( \frac{8}{2} \) = 4 workers on a crew. 4 crews are needed for the busy season which, at 4 workers per crew, means that the roofing company will need 4 x 4 = 16 total workers to staff the crews during the busy season. The company already employs 8 workers so they need to add 16 - 8 = 8 new staff for the busy season.
Convert 0.0004608 to scientific notation.
| 0.461 x 10-3 | |
| 4.608 x 105 | |
| 4.608 x 10-3 | |
| 4.608 x 10-4 |
A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:
0.0004608 in scientific notation is 4.608 x 10-4
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?
| 15% | |
| 30% | |
| 32\(\frac{1}{2}\)% | |
| 17\(\frac{1}{2}\)% |
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\(\frac{1}{2}\)%
Find the average of the following numbers: 16, 10, 16, 10.
| 12 | |
| 8 | |
| 11 | |
| 13 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{16 + 10 + 16 + 10}{4} \) = \( \frac{52}{4} \) = 13