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4MA1/1HR Jun 2019, Question 3: Set Notation

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1HR (Higher) · Calculator · 3 marks

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The question, in short

Using ℰ = {11, 12, 13, 14, 15, 16, 17, 18, 19, 20}, with A the even numbers and B the multiples of 3, list the members of three set expressions.

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Part (i) · 1 mark

List the members of A ∩ B.

  1. 1Identify even numbers in E: 12, 14, 16, 18, 20
  2. 2Identify multiples of 3 in E: 12, 15, 18
  3. 3Find common elements: 12, 18

Answer12, 18

Part (ii) · 1 mark

List the members of A ∪ B.

  1. 1Identify even numbers in E: 12, 14, 16, 18, 20
  2. 2Identify multiples of 3 in E: 12, 15, 18
  3. 3Combine all unique elements from both sets: 12, 14, 15, 16, 18, 20

Answer12, 14, 15, 16, 18, 20

Part (iii) · 1 mark

List the members of A′.

  1. 1Identify even numbers in E: 12, 14, 16, 18, 20
  2. 2Find all numbers in E not in A: 11, 13, 15, 17, 19

Answer11, 13, 15, 17, 19

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