4MA1/1FR Jan 2022, Question 10: Venn Diagrams
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1FR (Foundation) · Calculator · 3 marks
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The question, in short
Place the 50 dance students into a Venn diagram using the given counts for ballet (31), tap (27) and both (18).
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 118 have both lessons, so 18 goes in the overlap
- 2Ballet only = 31 − 18 = 13; tap only = 27 − 18 = 9
- 3Neither = 50 − (13 + 18 + 9) = 10
- 4Ballet only 13, ballet and tap 18, tap only 9, neither 10
AnswerBallet only 13, ballet and tap 18, tap only 9, neither 10
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