Mathematics 4024 · O Level · Sets

Sets — practice question

The universal set is $\mathcal{E} = \{x : x \text{ is an integer } 1 \le x \le 16\}$ Let $A = \{x : x \text{ is an even number}\}$ Let $B = \{x : x \text{ is a square number}\}$ Let $C = \{x : x \text{ is a factor of } 100\}$
(a(i))[3]

Fill in the Venn diagram.

(a(ii))[1]

Determine $n(A' \cup B)$.

(a(iii))[1]

$p \in A \cap C$ List all possible values of $p$.

(b(i))[1]

A card is drawn at random from the set. Determine the probability that the card displays an odd square number.

(b(ii))[2]

Ateeq selects two cards at random from the set of 16 cards. Find the probability that both cards show even numbers that are factors of 100.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: A Venn diagram filled in with every region correct

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