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4024/12 May/Jun 2023, Question 19: Venn Diagrams

Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 3 marks

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The question, in short

Shade a set region on a three-circle Venn diagram, then use given counts for 50 library visitors to find how many use a computer without borrowing a book.

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

Part (a) · 1 mark

On the Venn diagram with sets A, B and C, shade the area for (A ∩ B′) ∪ (B ∩ C′).

  1. 1A ∩ B′: shade the parts of A outside B (A only and A ∩ C only)
  2. 2B ∩ C′: shade the parts of B outside C (B only and A ∩ B only)
  3. 3Leave C only, B ∩ C only and the centre A ∩ B ∩ C unshaded

AnswerCorrect shading

Part (b) · 2 marks

Of 50 people, 35 borrow a book, 12 use a computer, and 8 do neither; find how many use a computer but borrow no book.

  1. 1Borrow a book or use a computer: 50 − 8 = 42
  2. 2Both: 35 + 12 − 42 = 5
  3. 3Computer but not a book: 12 − 5 = 7

Answer7

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Also searched as: 4024/12/M/J/23 · 4024_s23_qp_12 · 4024 s23 12 · question 19.
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