O-LevelAdditional MathematicsEquations, inequalities and graphs4037/22 · May/June 2018 · Q25 Marks
On the Venn diagram below, shade the region that represents A ∩ B΄. E A B
- (a)On the Venn diagram below, shade the region that represents A ∩ B΄. E A B[1]
- (b)The universal set ℰ and sets P, Q and R are such that (P ∪ Q ∪ R)' = Ø, P' ∩ (Q ∩ R) = Ø, n(Q ∩ R) = 8, n(P ∩ R) = 8, n(Q) = 15, n(P ∩ Q) = 10, n(P) = 21, n(ℰ) = 30. Complete the Venn diagram to show this information and state the value of n(R). E P Q R n(R) = .................................[4]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (May/June 2018). The mark or mark type is shown in brackets.
- [B1] Shaded region is A excluding the intersection with B (A ∩ B')
- [B1] for 8 correctly placed and all the empty regions (P'∩Q∩R, P∩Q'∩R) correct (i.e. 0)
- [B1] for 11 (P∩Q'∩R'), 2 (P∩Q∩R'), 5 (P'∩Q∩R') correctly placed
- [B1] for 4 (P'∩Q'∩R) correctly placed
- [B1] STRICT FT their Venn diagram (for n(R))
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