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0580/12 May/Jun 2023, Question 13: Set Notation

Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Calculator · 2 marks

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The question, in short

Using ℰ = {x : 1 ≤ x ≤ 20}, E = even numbers and M = multiples of 5, find the size of M and the elements of E ∩ M.

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Part (a) · 1 mark

Find n(M), the number of elements in the set M of multiples of 5.

  1. 1M = {5, 10, 15, 20}
  2. 2n(M) = 4

Answer4

Part (b) · 1 mark

List the elements that belong to both E (even numbers) and M (multiples of 5).

  1. 1Even multiples of 5 up to 20
  2. 2E ∩ M = {10, 20}

Answer10, 20

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