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0580/43 May/Jun 2025, Question 7: Set Notation

Cambridge IGCSE Mathematics 0580 · Paper 43 (Extended) · Calculator · 3 marks

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The question, in short

Using the universal set of integers from 1 to 12, with E the even numbers and M the multiples of 3, find a count, an intersection, and a value outside the union.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Part (a) · 1 mark

Find n(M), the number of elements in set M.

  1. 1M = {3, 6, 9, 12}
  2. 2n(M) = 4

Answer4

Part (b) · 1 mark

Write down the set E ∩ M, the elements common to E and M.

  1. 1E = {2, 4, 6, 8, 10, 12}, M = {3, 6, 9, 12}
  2. 2E ∩ M = {6, 12}

Answer6, 12

Part (c) · 1 mark

Given y is in (E ∪ M)′, write down one possible value of y.

  1. 1E ∪ M = {2, 3, 4, 6, 8, 9, 10, 12}
  2. 2(E ∪ M)′ = {1, 5, 7, 11}
  3. 3y = 1, 5, 7 or 11

Answer1, 5, 7 or 11

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