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O-LevelAdditional MathematicsEquations, inequalities and graphs4037/21 · May/June 2016 · Q24 Marks

[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.

  1. (a)Illustrate the statements A⊂ B and BCC using the Venn diagram below.[1]
  2. (b)(i)Write the following using set notation. The letter h is in the word maths.[1]
  3. (b)(ii)Write the following using set notation. The number of letters occurring in both of the words maths and exam is two.[1]
  4. (b)(iii)List the elements of the set P ∩ Q'.[1]

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Mark scheme

Marking points from the official mark scheme (May/June 2016). The mark or mark type is shown in brackets.

  1. [B1] It must be clear how the sets are nested
  2. [B1] h ∈ P Allow {m,a,t,h,s} for P
  3. [B1] n(P ∩ Q) = 2 cao
  4. [B1] {t, h, s}

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About this question

Topic
Equations, inequalities and graphs, O-Level Additional Mathematics (syllabus 4037). Structured question, 4 marks.
Source
O-Level Additional Mathematics, May/June 2016 Paper 2 Variant 1, question 2.

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