| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.70 |
| Score | 0% | 54% |
A tiger in a zoo has consumed 18 pounds of food in 3 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 54 pounds?
| 2 | |
| 4 | |
| 6 | |
| 7 |
If the tiger has consumed 18 pounds of food in 3 days that's \( \frac{18}{3} \) = 6 pounds of food per day. The tiger needs to consume 54 - 18 = 36 more pounds of food to reach 54 pounds total. At 6 pounds of food per day that's \( \frac{36}{6} \) = 6 more days.
In a class of 25 students, 14 are taking German and 8 are taking Spanish. Of the students studying German or Spanish, 7 are taking both courses. How many students are not enrolled in either course?
| 13 | |
| 22 | |
| 19 | |
| 10 |
The number of students taking German or Spanish is 14 + 8 = 22. Of that group of 22, 7 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 22 - 7 = 15 who are taking at least one language. 25 - 15 = 10 students who are not taking either language.
On average, the center for a basketball team hits 35% of his shots while a guard on the same team hits 45% of his shots. If the guard takes 30 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?
| 27 | |
| 37 | |
| 41 | |
| 23 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 30 x \( \frac{45}{100} \) = \( \frac{45 x 30}{100} \) = \( \frac{1350}{100} \) = 13 shots
The center makes 35% 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 = \( \frac{13}{\frac{35}{100}} \) = 13 x \( \frac{100}{35} \) = \( \frac{13 x 100}{35} \) = \( \frac{1300}{35} \) = 37 shots
to make the same number of shots as the guard and thus score the same number of points.
A circular logo is enlarged to fit the lid of a jar. The new diameter is 45% larger than the original. By what percentage has the area of the logo increased?
| 20% | |
| 15% | |
| 22\(\frac{1}{2}\)% | |
| 37\(\frac{1}{2}\)% |
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 45% the radius (and, consequently, the total area) increases by \( \frac{45\text{%}}{2} \) = 22\(\frac{1}{2}\)%
The total water usage for a city is 20,000 gallons each day. Of that total, 14% is for personal use and 32% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 14,850 | |
| 2,600 | |
| 3,600 | |
| 9,450 |
32% of the water consumption is industrial use and 14% is personal use so (32% - 14%) = 18% more water is used for industrial purposes. 20,000 gallons are consumed daily so industry consumes \( \frac{18}{100} \) x 20,000 gallons = 3,600 gallons.