| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.12 |
| Score | 0% | 62% |
The total water usage for a city is 10,000 gallons each day. Of that total, 30% is for personal use and 54% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 4,600 | |
| 8,000 | |
| 7,200 | |
| 2,400 |
54% of the water consumption is industrial use and 30% is personal use so (54% - 30%) = 24% more water is used for industrial purposes. 10,000 gallons are consumed daily so industry consumes \( \frac{24}{100} \) x 10,000 gallons = 2,400 gallons.
If there were a total of 400 raffle tickets sold and you bought 24 tickets, what's the probability that you'll win the raffle?
| 14% | |
| 6% | |
| 8% | |
| 11% |
You have 24 out of the total of 400 raffle tickets sold so you have a (\( \frac{24}{400} \)) x 100 = \( \frac{24 \times 100}{400} \) = \( \frac{2400}{400} \) = 6% chance to win the raffle.
How many 8-passenger vans will it take to drive all 38 members of the football team to an away game?
| 7 vans | |
| 3 vans | |
| 5 vans | |
| 8 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{38}{8} \) = 4\(\frac{3}{4}\)
So, it will take 4 full vans and one partially full van to transport the entire team making a total of 5 vans.
On average, the center for a basketball team hits 40% of his shots while a guard on the same team hits 55% of his shots. If the guard takes 10 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?
| 19 | |
| 13 | |
| 9 | |
| 22 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 10 x \( \frac{55}{100} \) = \( \frac{55 x 10}{100} \) = \( \frac{550}{100} \) = 5 shots
The center makes 40% of his shots so he'll have to take:
shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)
to make as many shots as the guard. Plugging in values for the center gives us:
center shots taken = \( \frac{5}{\frac{40}{100}} \) = 5 x \( \frac{100}{40} \) = \( \frac{5 x 100}{40} \) = \( \frac{500}{40} \) = 13 shots
to make the same number of shots as the guard and thus score the same number of points.
What is \( \frac{3}{6} \) ÷ \( \frac{1}{5} \)?
| \(\frac{1}{8}\) | |
| 2\(\frac{1}{2}\) | |
| \(\frac{1}{18}\) | |
| \(\frac{2}{45}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{3}{6} \) ÷ \( \frac{1}{5} \) = \( \frac{3}{6} \) x \( \frac{5}{1} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{6} \) x \( \frac{5}{1} \) = \( \frac{3 x 5}{6 x 1} \) = \( \frac{15}{6} \) = 2\(\frac{1}{2}\)