| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.82 |
| Score | 0% | 56% |
The total water usage for a city is 20,000 gallons each day. Of that total, 13% is for personal use and 45% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 6,600 | |
| 10,850 | |
| 4,900 | |
| 6,400 |
45% of the water consumption is industrial use and 13% is personal use so (45% - 13%) = 32% more water is used for industrial purposes. 20,000 gallons are consumed daily so industry consumes \( \frac{32}{100} \) x 20,000 gallons = 6,400 gallons.
A tiger in a zoo has consumed 150 pounds of food in 10 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 195 pounds?
| 3 | |
| 7 | |
| 13 | |
| 4 |
If the tiger has consumed 150 pounds of food in 10 days that's \( \frac{150}{10} \) = 15 pounds of food per day. The tiger needs to consume 195 - 150 = 45 more pounds of food to reach 195 pounds total. At 15 pounds of food per day that's \( \frac{45}{15} \) = 3 more days.
If a mayor is elected with 73% of the votes cast and 52% of a town's 50,000 voters cast a vote, how many votes did the mayor receive?
| 13,260 | |
| 21,840 | |
| 18,720 | |
| 18,980 |
If 52% of the town's 50,000 voters cast ballots the number of votes cast is:
(\( \frac{52}{100} \)) x 50,000 = \( \frac{2,600,000}{100} \) = 26,000
The mayor got 73% of the votes cast which is:
(\( \frac{73}{100} \)) x 26,000 = \( \frac{1,898,000}{100} \) = 18,980 votes.
A machine in a factory has an error rate of 8 parts per 100. The machine normally runs 24 hours a day and produces 5 parts per hour. Yesterday the machine was shut down for 3 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 122.9 | |
| 96.6 | |
| 205.8 | |
| 88.2 |
The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:
\( \frac{8}{100} \) x 5 = \( \frac{8 \times 5}{100} \) = \( \frac{40}{100} \) = 0.4 errors per hour
So, in an average hour, the machine will produce 5 - 0.4 = 4.6 error free parts.
The machine ran for 24 - 3 = 21 hours yesterday so you would expect that 21 x 4.6 = 96.6 error free parts were produced yesterday.
A triathlon course includes a 400m swim, a 40.7km bike ride, and a 17.700000000000003km run. What is the total length of the race course?
| 58.3km | |
| 57.9km | |
| 38.2km | |
| 58.8km |
To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 400 meters to kilometers, divide the distance by 1000 to get 0.4km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.4km + 40.7km + 17.700000000000003km
total distance = 58.8km