GCSE · Venn diagrams & set notation

Set notationExam-style questions

The formal language of sets — the universal set ξ, n(A) for a count, union A∪B ("in either, or both"), intersection A∩B, the complement A′, and combined expressions such as A∩B′ and (A∪B)′ — read as names for regions of a Venn diagram.

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

DifficultyAllLevel 1Level 2Level 3Level 4Level 5
  1. 1
    ξ={1,2,3,4,5,6,7,8,9,10,11,12}\xi = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12\}

    A={prime numbers}A = \{\text{prime numbers}\}

    B={odd numbers}B = \{\text{odd numbers}\}

    (a) List the members of A∩BA \cap B.

    (b) List the members of A∪BA \cup B.

    (c) Find n(B′)n(B').
    Level 2 · 3 marksTry it