Mathematics 0580 · IGCSE · Sets

Sets — practice question

Jo asks a group of people whether they own a car ($C$) and whether they own a motorbike ($M$). There are 86 people who own a car. There are 39 people who own a motorbike. 7 people own neither a car nor a motorbike. A Venn diagram is displayed with $C$ and $M$, and 74 appears in region $C$ only.
(a)[2]

Complete the Venn diagram shown.

(b)[1]

Find the overall number of people Jo asks.

(c)[1]

Record $n(C \cap M)$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Venn regions completed correctly

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI