Mathematics 0580 · IGCSE · Sets

Sets — practice question

Li asks 28 students whether they speak English ($E$) and whether they speak Spanish ($S$). 15 students speak English. 12 students speak Spanish. 6 students speak neither English nor Spanish. A Venn diagram is displayed with two overlapping circles marked $E$ and $S$ inside a universal set.
(a)[2]

Complete the Venn diagram.

(b)[1]

State how many students speak English but not Spanish.

(c)[1]

Find the value of $n(E \cup S)$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: A correct Venn diagram with the values positioned in the correct regions

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