Mathematics 4024 · O Level · Sets

Sets — practice question

(a)[1]

Shade the set $(A \cap B) \cup C$.

(b)[1]

Give the set notation that describes the shaded subset in the diagram.

(c(i))[2]

$\mathcal{E} = \{1,2,3,4,5,6,7,8,9,10\}$, $P = \{x : x \text{ is an odd number}\}$, $Q = \{x : x \text{ is a square number}\}$. Place the members of $\mathcal{E}$ into the correct regions on the Venn diagram.

(c(ii))[1]

State the value of $n(Q')$.

(c(iii))[2]

A number $m$ is selected at random from $\mathcal{E}$. Determine the probability that $m$ belongs to $P \cap Q'$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: The shaded Venn region is correct.

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