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4024/11 Oct/Nov 2022, Question 9: Set Notation

Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 3 marks

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The question, in short

Use Venn diagrams: shade the region for A ∩ B, then use given counts for students studying English, Spanish and German to find two set quantities.

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

Part (a) · 1 mark

On a two-circle Venn diagram, shade the region where circles A and B overlap.

  1. 1Shade only the overlap of circles A and B

AnswerRegion A ∩ B shaded (the overlap of circles A and B)

Part (bi) · 1 mark

Using the three-set diagram counts, find how many study English and German but not Spanish.

  1. 1English and German, not Spanish = E ∩ G only = 5

Answer5

Part (bii) · 1 mark

Using the three-set diagram counts, find n(G ∪ S)′, the number outside German or Spanish.

  1. 1Outside G ∪ S: E only + outside all circles
  2. 2= 11 + 4 = 15

Answer15

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Also searched as: 4024/11/O/N/22 · 4024_w22_qp_11 · 4024 w22 11 · question 9.
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