Mathematics 4024 · O Level · Sets

Sets — practice question

$\mathcal{E} = \{x : x \text{ is an integer } 1 \le x \le 18\}$, $A = \{x : x \text{ is a prime number}\}$, and $B = \{1, 2, 3, 4, 6, 9, 12, 18\}$.
(a(i))[1]

Fill in the Venn diagram to show this information.

(a(ii))[1]

Complete the description of the set $B$.

(a(iii))[1]

Find $n(A \cup B)$.

(a(iv))[1]

List the elements of $A' \cap B$.

(b)[2]

Find the lowest common multiple (LCM) of $140$ and $770$.

(c)[2]

A rectangular field has dimensions $450\text{ m}$ by $306\text{ m}$. The entire field is to be split into identical square plots with no land left over. Find the greatest possible side length of each square.

Worked solution & mark scheme

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