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
    There are 3030 students in a class. Each student was asked whether they have a sister and whether they have a brother.

    The Venn diagram shows the results. SS is the group who have a sister and BB is the group who have a brother.ξ5SB1168(a) Write down the number of students who have a sister.

    (b) Write down the number of students who have a brother but not a sister.

    (c) Work out the number of students who have at least one sibling.
    Level 2 · 4 marksTry it