4MA1/1F Jun 2021, Question 14: Venn Diagrams
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 3 marks
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The question, in short
Place the numbers 1 to 15 from ℰ into the Venn diagram, putting even numbers in A and multiples of 3 in B, including the overlap and outside region.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1List elements of E: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15
- 2Identify A (even numbers): 2, 4, 6, 8, 10, 12, 14
- 3Identify B (multiples of 3): 3, 6, 9, 12, 15
- 4Find A ∩ B: 6, 12
- 5Place A only: 2, 4, 8, 10, 14
- 6Place B only: 3, 9, 15
- 7Place neither A nor B: 1, 5, 7, 11, 13
- 8Complete Venn diagram with all elements in correct regions
AnswerA only: 2, 4, 8, 10, 14; A and B: 6, 12; B only: 3, 9, 15; outside both: 1, 5, 7, 11, 13
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