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O-LevelAdditional MathematicsFunctions4037/22 · Oct/Nov 2011 · Q15 Marks

The universal set & and the sets A and B shown in the Venn diagram below are such that n(A) = 15, n(B) = 20, n(A' ∩ B) = 6 and n(E) = 30. In the Venn diagram below insert the number of elements in the set represented by each of the four regions. [Figure 1.1]

  1. (a)In the Venn diagram below insert the number of elements in the set represented by each of the four regions.[4]
  2. (b)In the Venn diagram below shade the region that represents (P U Q) ∩ R'. [Figure 1.2][1]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2011). The mark or mark type is shown in brackets.

  1. [B1] (a) 6 correctly positioned
  2. [B1] (a) 14 correctly positioned
  3. [B1] (a) 1 correctly positioned
  4. [B1√] (a) 9 correctly positioned
  5. [B1] (b) Shaded correctly

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About this question

Topic
Functions, O-Level Additional Mathematics (syllabus 4037). Structured question, 5 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2011 Paper 2 Variant 2, question 1.

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