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Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter

Sets

20 practice questions

Start practising (3 questions)

Practice questions

1–3 of 3 · Hard

  1. Question 1

    4 marks · Hard

    In a class of 30 students, the universal set U consists of all the students. Let set M be the students who play music (18 students), set S be the students who play sports (15 students), and 8 students play both music and sports.

    (a)

    How many students play only music?

    [1 mark]
    (b)

    How many students play neither music nor sports?

    [2 marks]
    (c)

    Represent this information in a Venn diagram. Clearly label all sets and indicate the number of students in each region.

    [1 mark]
    Answer and see the solution →

  2. Question 2

    2 marks · Hard

    Describe, using set notation, the difference between the sets and . Give an example with sets A = \{apple, banana\} and B = \{banana, cherry\}.

    Answer and see the solution →

  3. Question 3

    3 marks · Hard

    Let the universal set . Let , .

    (a)

    List the elements of P and Q.

    [1 mark]
    (b)

    Find .

    [1 mark]
    (c)

    How many elements are in ?

    [1 mark]
    Answer and see the solution →