Sets: past paper questions

Where the questions come from

• Question 25May/June 2026, paper 23Structured4 marksHas a diagram

  $x$ is an integer. $$\mathcal{E}=\{x:1⩽x⩽12\}$$ $$A=\{x:x\text{ is a square number}\}$$ $$B=\{x:4⩽x⩽8\}$$ $$C=\{x:x\text{ is a factor of }12\}$$ Complete the Venn diagram.

  Try this question
• Question 12Oct/Nov 2025, paper 22Structured6 marksHas a diagram

  A fitness club has 100 members. 60 swim ($S$). 70 cycle ($C$).

  Try this question
• Question 16Oct/Nov 2024, paper 22Structured1 markHas a diagram

  75 people are asked if they have a car, $C$, and if they have a job, $J$. The Venn diagram shows the results. A person is chosen at random from those who have a car.

  Try this question
• Question 18Oct/Nov 2025, paper 23Structured2 marksHas a diagram

  Shade the region in each Venn diagram. $(A\cap B{)}^{\mathrm{\prime }}$

  Try this question
• Question 12Oct/Nov 2025, paper 41Structured2 marksHas a diagram

  Some students are asked if they like football ($F$) or rugby ($R$). The Venn diagram shows the results. Find the number of students who do not like rugby.

  Try this question
• Question 21Oct/Nov 2024, paper 23Structured2 marksHas a diagram

  The Venn diagram shows the number of elements in each region. Use set notation to describe the shaded region.

  Try this question
• Question 9May/June 2023, paper 41Structured8 marksHas a diagram

  The Venn diagram shows set $X$ and set $Y$. List the elements of $X$.

  Try this question
• Question 23May/June 2024, paper 22Structured3 marks

  The Venn diagram shows information about the number of students in a class. Some study English ($E$), some study French ($F$), some study Spanish ($S$) and some do not study any of these languages. Find $\mathrm{n}((E\cup F{)}^{\mathrm{\prime }}\cup S)$.

  Try this question