| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.80 |
| Score | 0% | 56% |
How many 12-passenger vans will it take to drive all 61 members of the football team to an away game?
| 5 vans | |
| 13 vans | |
| 7 vans | |
| 6 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{61}{12} \) = 5\(\frac{1}{12}\)
So, it will take 5 full vans and one partially full van to transport the entire team making a total of 6 vans.
The total water usage for a city is 10,000 gallons each day. Of that total, 32% is for personal use and 52% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 850 | |
| 1,300 | |
| 900 | |
| 2,000 |
52% of the water consumption is industrial use and 32% is personal use so (52% - 32%) = 20% more water is used for industrial purposes. 10,000 gallons are consumed daily so industry consumes \( \frac{20}{100} \) x 10,000 gallons = 2,000 gallons.
A circular logo is enlarged to fit the lid of a jar. The new diameter is 30% larger than the original. By what percentage has the area of the logo increased?
| 32\(\frac{1}{2}\)% | |
| 37\(\frac{1}{2}\)% | |
| 15% | |
| 25% |
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 30% the radius (and, consequently, the total area) increases by \( \frac{30\text{%}}{2} \) = 15%
What is \( 3 \)\( \sqrt{50} \) + \( 3 \)\( \sqrt{2} \)
| 6\( \sqrt{100} \) | |
| 9\( \sqrt{2} \) | |
| 18\( \sqrt{2} \) | |
| 9\( \sqrt{25} \) |
To add these radicals together their radicands must be the same:
3\( \sqrt{50} \) + 3\( \sqrt{2} \)
3\( \sqrt{25 \times 2} \) + 3\( \sqrt{2} \)
3\( \sqrt{5^2 \times 2} \) + 3\( \sqrt{2} \)
(3)(5)\( \sqrt{2} \) + 3\( \sqrt{2} \)
15\( \sqrt{2} \) + 3\( \sqrt{2} \)
Now that the radicands are identical, you can add them together:
15\( \sqrt{2} \) + 3\( \sqrt{2} \)If all of a roofing company's 6 workers are required to staff 2 roofing crews, how many workers need to be added during the busy season in order to send 6 complete crews out on jobs?
| 5 | |
| 12 | |
| 7 | |
| 17 |
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 6 workers at the company now and that's enough to staff 2 crews so there are \( \frac{6}{2} \) = 3 workers on a crew. 6 crews are needed for the busy season which, at 3 workers per crew, means that the roofing company will need 6 x 3 = 18 total workers to staff the crews during the busy season. The company already employs 6 workers so they need to add 18 - 6 = 12 new staff for the busy season.