I. Study and review the different styles of Venn Diagrams.
Example 1
All dogs are animals. Since dogs are types of animals, dogs belong to a larger set or group called animals. (If it is a dog, then it is an animal).
Example 2 Example 3
Some students ski and some snowboard, All the seniors were asked what their favorite subject
while some do both. is out of Math, Art and PE Some students could not decide so
they chose two of the three, and some students said they liked all three .
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II. SET UP PROBLEMS USING VENN DIAGRAMS
a) Draw and label a Venn Diagram to illustrate each statement.
b) Then write each statement as an IF – THEN statement.
1. All drummers are in the band. 2. Vertical angles are congruent.
______
3. All squares are rectangles.
______
III. SOLVE problems using Venn Diagrams. Complete in your notebook.
1. 400 Deep Run students were surveyed to see if they were on a sports team or a member of Key Club. 235 are on a sports team and 181 are members of Key Club, while 62 are both on a sports team and members of Key Club.
2. 42 students are in a class. 13 have birds, 21 have dogs, while 7 have both birds and dogs.
How many students do not have a bird or a dog?
How many students have ONLY birds?
3. 50 students went to a Richmond Braves game. 30 of them got a hot dog, 25 got a pretzel and 5 got both.
How many students ONLY got a pretzel?
How many students got a pretzel or a hot dog?
4. 78 students were asked if they liked Lunch or PE. 60 said they liked lunch, 38 said they liked PE and 27 said they liked both lunch and PE.
How many ONLY like PE?
How many ONLY like lunch?
5. In a class of 50 students, 18 take Chorus, 26 take Band, and 2 take both Chorus and Band. How many students in the class are not enrolled in either Chorus or Band?
6. In a school of 320 students, 85 students are in the band, 200 students are on sports teams, and 60 students participate in both activities. How many students are involved in either band or sports?
7. Thirty-six people were polled on telephone usage. One-third of the people polled owned cell phones. One fourth of the people owned pagers. Five people owned both pagers and cell phones. The rest of the people did not own either. How many people polled did not own a pager or a cell phone?
8. A veterinarian surveys 26 of his patrons. He discovers that 14 have dogs, 10 have cats, and 5 have fish. Four have dogs and cats, 3 have dogs and fish, and one has a cat and fish. If no one has all three kinds of pets, how many patrons have none of these pets?
9. A guidance counselor is planning schedules for 30 students. Sixteen students say they want to take French, 16 want to take Spanish, and 11 want to take Latin. Five say they want to take both French and Latin, and of these, 3 wanted to take Spanish as well. Five want only Latin, and 8 want only Spanish. How many students want French only?
Venn Diagram Practice Page 2