Mathematics 4024 · O Level · Sets

Sets — practice question

(a)[1]

On the Venn diagram, shade the region that shows the subset $(P \cup Q)' \cap R$.

(b(i))[1]

Let $\mathcal{E} = \{x : x \text{ is an integer and } 22 \le x \le 33\}$, $E = \{x : x \text{ is an even number}\}$, $T = \{x : x \text{ is a multiple of } 3\}$, $F = \{x : x \text{ is a multiple of } 4\}$. State the elements of $T \cap F$.

(b(ii))[1]

Find $n(E \cup T)$.

(b(iii))[1]

Given that $y \in F' \cap E$, find one possible value of $y$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: The correct region of the Venn diagram is shaded.

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