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” …