Mathematics 0580 · IGCSE · Sets

Sets — practice question

A cohort of 120 students sit two tests, mathematics ($M$) and English ($E$). The following information is given about how many students pass mathematics and how many pass English: • 61 students pass mathematics. • 27 students pass both mathematics and English. • 19 students do not pass mathematics and do not pass English. A Venn diagram is displayed with two overlapping circles labelled $M$ and $E$ inside a rectangle.
(a(i))[3]

Finish the Venn diagram.

(a(ii))[1]

From the Venn diagram, determine $n(E)$.

(b)[1]

Use set notation to state the shaded region.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct values shown in the Venn diagram

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