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1 markProblem Solving with Venn Diagrams

CSEC Mathematics · January 2016 · Paper 2 · Question 3(a)(ii)

A Venn diagram shows the number of students in Form 5A who have visited Canada (C) or Dominica (D). The diagram shows 3 students visited Canada only, x students visited both, 10 students visited Dominica only, and 2x students visited neither.

Write an expression, in terms of x, to represent the TOTAL number of students who have visited Canada.

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Other parts of this question

  1. 3(a)(i)How many students have visited Dominica ONLY?[1 mark]
  2. 3(a)(iii)Given that there are 25 students in Form 5A, calculate the value of x.[2 marks]
  3. 3(a)(iv)Hence, write down the number of students in each of the following subsets: C ∪ D, C ∩ D, (C ∪ D)'[3 marks]
  4. 3(b)(i)Using a ruler, a pencil and a pair of compasses, construct accurately, the square EFGH where EF = 6 cm. (Show ALL construction lines and curves.)[4 marks]
  5. 3(b)(ii)Measure, and state in centimetres, the length of the diagonal FH.[1 mark]

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