| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.10 |
| Score | 0% | 62% |
A triathlon course includes a 100m swim, a 50.4km bike ride, and a 7.5km run. What is the total length of the race course?
| 58km | |
| 41.9km | |
| 37.5km | |
| 35.8km |
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 100 meters to kilometers, divide the distance by 1000 to get 0.1km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.1km + 50.4km + 7.5km
total distance = 58km
The total water usage for a city is 25,000 gallons each day. Of that total, 13% is for personal use and 34% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 5,250 | |
| 2,800 | |
| 12,000 | |
| 7,200 |
34% of the water consumption is industrial use and 13% is personal use so (34% - 13%) = 21% more water is used for industrial purposes. 25,000 gallons are consumed daily so industry consumes \( \frac{21}{100} \) x 25,000 gallons = 5,250 gallons.
Which of these numbers is a factor of 72?
| 24 | |
| 41 | |
| 22 | |
| 49 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.
Solve 5 + (4 + 2) ÷ 5 x 3 - 52
| 4\(\frac{1}{2}\) | |
| \(\frac{2}{7}\) | |
| 1\(\frac{3}{5}\) | |
| -16\(\frac{2}{5}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
5 + (4 + 2) ÷ 5 x 3 - 52
P: 5 + (6) ÷ 5 x 3 - 52
E: 5 + 6 ÷ 5 x 3 - 25
MD: 5 + \( \frac{6}{5} \) x 3 - 25
MD: 5 + \( \frac{18}{5} \) - 25
AS: \( \frac{25}{5} \) + \( \frac{18}{5} \) - 25
AS: \( \frac{43}{5} \) - 25
AS: \( \frac{43 - 125}{5} \)
\( \frac{-82}{5} \)
-16\(\frac{2}{5}\)
In a class of 22 students, 6 are taking German and 6 are taking Spanish. Of the students studying German or Spanish, 4 are taking both courses. How many students are not enrolled in either course?
| 12 | |
| 14 | |
| 20 | |
| 18 |
The number of students taking German or Spanish is 6 + 6 = 12. Of that group of 12, 4 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 12 - 4 = 8 who are taking at least one language. 22 - 8 = 14 students who are not taking either language.