GCSE · Venn diagrams & set notation

Venn diagramsExam-style questions

Building a Venn diagram from worded information — why you fill the overlap first and work outwards, what the number in a region actually counts, the universal set and the "neither" region outside the circles, and how the grand total pins down whichever region is missing.

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13 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAllLevel 1Level 2Level 3Level 4Level 5
  1. 1
    3030 students were asked whether they play football (F) or tennis (T).ξFT1258Work out how many students play neither sport.
    Level 1 · 2 marksTry it
  2. 2
    Here is a Venn diagram.ξ4AB736How many elements are in set AA?
    Level 1 · 1 markTry it
  3. 3
    In a class of 2525 students, 1515 have a cat, 99 have a dog and 44 have both. Draw a Venn diagram (or reason it out) and find how many have a cat but not a dog.
    Level 1 · 1 markTry it