Lemmara logoLemmaraWorked solution

4024/12 Oct/Nov 2020, Question 13: Venn Diagrams

Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 4 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Given sets P and Q, find the number of elements in their union, then place letters p, q and r into the correct regions of a two-set Venn diagram.

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

Part (a) · 1 mark

P = {1, 2, 3, 4, 5, 6, 7, 8} and Q = {1, 3, 5, 7, 9, 11}; find n(P ∪ Q).

  1. 1P ∪ Q = {1, 2, 3, 4, 5, 6, 7, 8, 9, 11}
  2. 2n(P ∪ Q) = 10

Answer10

Part (b) · 3 marks

Place p in A ∩ B, q in (A ∪ B)′, and r in A ∩ B′ on the Venn diagram.

  1. 1p is in both A and B: write p in the overlap A ∩ B
  2. 2q is in neither A nor B: write q outside both circles
  3. 3r is in A but not in B: write r in the part of A only

AnswerA only: r A ∩ B: p Outside A and B: q

Stuck on a step? Read the free lesson: Venn Diagrams

Practise more venn diagrams questions

Real 4024 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on venn diagrams

Also searched as: 4024/12/O/N/20 · 4024_w20_qp_12 · 4024 w20 12 · question 13.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.