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0580/21 Oct/Nov 2024, Question 19: Set Notation

Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 3 marks

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The question, in short

Using sets from 1 to 10, P odd, Q multiples of 3, R square numbers, find intersections, unions and a count involving complements.

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

Part (a) · 1 mark

Find the numbers common to P, Q and R.

  1. 1P = {1, 3, 5, 7, 9}, Q = {3, 6, 9}, R = {1, 4, 9}
  2. 2P ∩ Q ∩ R = {9}

Answer9

Part (bi) · 1 mark

Find the union of Q and R.

  1. 1Q ∪ R = {1, 3, 4, 6, 9}

Answer1, 3, 4, 6, 9

Part (bii) · 1 mark

Find the number of elements in P intersect the complement of Q union R.

  1. 1(Q ∪ R)′ = {2, 5, 7, 8, 10}
  2. 2P ∩ (Q ∪ R)′ = {5, 7}
  3. 3n(P ∩ (Q ∪ R)′) = 2

Answer2

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