Lemmara logoLemmaraWorked solution

4024/22 May/Jun 2025, Question 9: Set Notation

Cambridge O Level Mathematics 4024 · Paper 22 (Calculator) · Calculator · 3 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Shade the region for (A ∩ B)′ on a two-set Venn diagram, then use given counts for 22 students to find how many play both piano and guitar.

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

Part (a) · 1 mark

Shade on the Venn diagram the region outside the overlap of circles A and B.

  1. 1(A ∩ B)′ is everything not in the overlap
  2. 2Shade all of the rectangle except the intersection of A and B

AnswerEverything shaded except the intersection A ∩ B

Part (b) · 2 marks

With 22 students, 12 piano, 9 guitar, 6 neither, find how many play both instruments.

  1. 1Play piano or guitar (or both) = 22 − 6 = 16
  2. 2Both = 12 + 9 − 16
  3. 3= 5

Answer5

Stuck on a step? Read the free lesson: Set Notation

Practise more set notation 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 set notation

Also searched as: 4024/22/M/J/25 · 4024_s25_qp_22 · 4024 s25 22 · question 9.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.