| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.46 |
| Score | 0% | 69% |
If the ratio of home fans to visiting fans in a crowd is 2:1 and all 37,000 seats in a stadium are filled, how many home fans are in attendance?
| 29,167 | |
| 34,167 | |
| 41,667 | |
| 24,667 |
A ratio of 2:1 means that there are 2 home fans for every one visiting fan. So, of every 3 fans, 2 are home fans and \( \frac{2}{3} \) of every fan in the stadium is a home fan:
37,000 fans x \( \frac{2}{3} \) = \( \frac{74000}{3} \) = 24,667 fans.
What is the distance in miles of a trip that takes 4 hours at an average speed of 15 miles per hour?
| 110 miles | |
| 210 miles | |
| 60 miles | |
| 315 miles |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 15mph \times 4h \)
60 miles
What is the greatest common factor of 68 and 16?
| 4 | |
| 3 | |
| 7 | |
| 2 |
The factors of 68 are [1, 2, 4, 17, 34, 68] and the factors of 16 are [1, 2, 4, 8, 16]. They share 3 factors [1, 2, 4] making 4 the greatest factor 68 and 16 have in common.
In a class of 23 students, 6 are taking German and 8 are taking Spanish. Of the students studying German or Spanish, 2 are taking both courses. How many students are not enrolled in either course?
| 15 | |
| 11 | |
| 14 | |
| 12 |
The number of students taking German or Spanish is 6 + 8 = 14. Of that group of 14, 2 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 14 - 2 = 12 who are taking at least one language. 23 - 12 = 11 students who are not taking either language.
A triathlon course includes a 100m swim, a 50.3km bike ride, and a 10.5km run. What is the total length of the race course?
| 33.5km | |
| 30.2km | |
| 60.9km | |
| 57km |
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 + 50.3km + 10.5km
total distance = 60.9km