[Figure 2(a) showing an empty rectangle labelled E for a Venn diagram.] It is given that the elements of set E are the letters of the alphabet, the elements of set P are the letters in the word maths, the elements of set Q are the letters in the word exam.
- (a)Illustrate the statements A⊂ B and BCC using the Venn diagram below.[1]
- (b)(i)Write the following using set notation. The letter h is in the word maths.[1]
- (b)(ii)Write the following using set notation. The number of letters occurring in both of the words maths and exam is two.[1]
- (b)(iii)List the elements of the set P ∩ Q'.[1]
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 2016). The mark or mark type is shown in brackets.
- [B1] It must be clear how the sets are nested
- [B1] h ∈ P Allow {m,a,t,h,s} for P
- [B1] n(P ∩ Q) = 2 cao
- [B1] {t, h, s}
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