Venn diagrams

Representing relationships between groups.

General Test5 questions
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Uses

Venn diagrams show relationships between groups:

  • One inside another: all A are B (doctors and humans).
  • Overlapping: some A are B (teachers and parents).
  • Separate: no A is B (cats and dogs).

For counts: n(A ∪ B) = n(A) + n(B) − n(A ∩ B).

Practice questions

Which diagram best represents Women, Mothers and Doctors?Medium
In a class, 25 students like tea, 20 like coffee and 10 like both. How many like at least one?Medium
Which pair is best shown by one circle completely inside another?Easy
Which group is best shown by three separate, non-overlapping circles?Medium
Of 50 students, 30 play cricket, 25 play football and 5 play neither. How many play both?Hard
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