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5 marksProblem Solving with Venn Diagrams

CSEC Mathematics · May/June 2006 · Paper 2 · Question 3(b)(iii)

In a survey of 39 students, it was found that 18 can ride a bicycle, 15 can drive a car, x can ride a bicycle and drive a car, 3x can do neither. B is the set of students in the survey who can ride a bicycle, and C the set of students who can drive a car.

Calculate the value of x.

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Other parts of this question

  1. 3(a)(i)Giving the reason for each step of your answer, calculate the size of ∠ LNK[2 marks]
  2. 3(a)(ii)Giving the reason for each step of your answer, calculate the size of ∠ NLM[2 marks]
  3. 3(a)(iii)Giving the reason for each step of your answer, calculate the size of ∠ KNM.[2 marks]
  4. 3(b)(i)Copy and complete the Venn diagram to represent the information.[1 mark]
  5. 3(b)(ii)Write an expression in x for the number of students in the survey.[1 mark]

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