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0580/11 Oct/Nov 2024, Question 19: Venn Diagrams

Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Calculator · 4 marks

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The question, in short

From survey data on car and motorbike ownership, with 86 car owners, 39 motorbike owners, 7 owning neither, and 74 in C only, complete the Venn diagram and answer related questions.

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

Part (a) · 2 marks

Complete the Venn diagram using the given numbers, including the 74 in the car-only region.

  1. 1C ∩ M = 86 − 74 = 12
  2. 2M only = 39 − 12 = 27
  3. 3Outside both circles = 7
  4. 4C only 74, C ∩ M 12, M only 27, outside 7

AnswerC only: 74 C ∩ M: 12 M only: 27 Outside both circles: 7

Part (b) · 1 mark

Find the total number of people Jo asked.

  1. 174 + 12 + 27 + 7 = 120

Answer120

Part (c) · 1 mark

Write down n(C ∩ M).

  1. 1n(C ∩ M) = 12

Answer12

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Also searched as: 0580/11/O/N/24 · 0580_w24_qp_11 · 0580 w24 11 · question 19.
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