These activities will work with the Venn Diagram as a counting technique.
For each diagram below, shade the indicated region
| Rides a bike only | Rides & roller blades
|
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| Rides, blades & skateboards | Participates in exactly one activity |
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II. Sketch a Venn diagram to illustrate the given the facts about ...
a) a class of students
- In a class of 32 students, 25 are freshman.
- Ten of the freshman girls play sports.
- 12 girls play sports.
- Seven Freshman boys play sports.
- 21 students play sports.
- Five freshman girls do not participate in a sport.
How many girls are in the class?_____________
b) a group of 90 musicians.
- 12 musicians played in the marching band and played the trumpet.
- 18 musicians played the trumpet.
- 75 musicians were in the marching band.
How many musicians were neither in the marching band, nor played the trumpet?____
How many musicians were not in the marching band?_______
c) a club of varsity athletes
- 25 athletes played soccer
- 7 athletes played soccer and baseball
- 14 athletes played baseball
- 9 athletes played tennis
- 7 athletes played soccer and baseball
- 6 athletes played soccer and tennis
- 4 athletes played baseball and tennis
- 2 athletes played all three sports
How many athletes played soccer, but not baseball or tennis?__________
How many athletes plated soccer and baseball, but not tennis?_________
How many athletes played just one of the three sports?______________