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1 markProblem Solving with Venn Diagrams

CSEC Mathematics · May/June 2013 · Paper 2 · Question 3(a)(ii)

A survey of 30 students in Form 5 showed that some students used cameras (C) or mobile phones (M) to take photographs. 20 students used mobile phones, 4x students used ONLY cameras, x students used BOTH mobile phones and cameras, and 2 students did not use either cameras or phones.

Write an expression, in terms of x, which represents the TOTAL number of students in the survey.

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Other parts of this question

  1. 3(a)(i)Copy the Venn diagram below and complete it to show, in terms of x, the number of students in each region.[3 marks]
  2. 3(a)(iii)Determine the number of students in Form 5 who used ONLY cameras.[2 marks]
  3. 3(b)(i)Calculate the length of BC.[2 marks]
  4. 3(b)(ii)Explain why triangles ABC and ADE are similar.[1 mark]
  5. 3(b)(iii)Determine the length of DE.[3 marks]

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