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4MA1/1FR Jun 2023, Question 18: Venn Diagrams

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

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The question, in short

Use the Venn diagram with sets A, B, C inside ℰ to list numbers in given sets and justify a statement about 9 and C.

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

Part (ai) · 1 mark

List all numbers that belong to set A, including those shared with B.

  1. 1Identify the numbers inside set A: 7, 11, 13, 5
  2. 2List them in ascending order: 5, 7, 11, 13

Answer5, 7, 11, 13

Part (aii) · 1 mark

List all numbers in B or C or both, combining the relevant regions.

  1. 1Set B is 5, 10, 15.
  2. 2Set C is 6, 8, 10, 12, 14.
  3. 3B ∪ C means numbers in B or C or both, each written once.
  4. 45, 6, 8, 10, 12, 14, 15

Answer5, 6, 8, 10, 12, 14, 15

Part (b) · 1 mark

Explain why the number 9 is not an element of set C, referring to the diagram.

  1. 1Locate 9 in the Venn diagram: it is outside of set C
  2. 2Set C contains only 6, 8, 10, 12, 14
  3. 3Since 9 is not listed in C and is shown outside C, it is not a member
  4. 4Therefore, 9 ∉ C is correct

Answer9 is not in set C

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