Venn Diagrams Worksheet

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Name:_____________________________
Venn Diagrams Worksheet
1. The Venn diagram shows the number of players at a sports club who take part in various sporting
activities, where:
A = {members who do archery};
B = {members who play badminton};
C = {members who take cross country};
Find the number of members who:
(a) take part in cross country;
(b) take part in more than one activity;
(c) play badminton but do not take part in cross country;
(d) do not do archery.
2.
A poll was taken of the leisure time activities of 90 students.
60 students watch TV (T), 60 students read (R), 70 students go to the cinema (C).
26 students watch TV, read and go to the cinema.
20 students watch TV and go to the cinema only.
18 students read and go to the cinema only.
10 students read and watch TV only.
(a) Draw a Venn diagram to illustrate the above information.
(b) Calculate how many students:
(i) only watch TV;
(ii) only go to the cinema.
3. The Venn diagram shows the numbers of pupils in a school
according to whether they study the sciences
Physics (P), Chemistry (C) or Biology (B).
(a) Write down the number of pupils that study Chemistry only.
(b) Write down the number of pupils that study
exactly two sciences.
(c) Write down the number of pupils that do not study Physics.

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