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2 marksProblem Solving with Venn Diagrams

CSEC Mathematics · May/June 2015 · Paper 2 · Question 3(a)(iv)

The Venn diagram below shows the number of students who play the guitar (G) or the violin (V) in a class of 40 students.

How many students play the guitar?

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Other parts of this question

  1. 3(a)(i)How many students play neither the guitar nor the violin?[1 mark]
  2. 3(a)(ii)Write an expression, in terms of x, which represents the TOTAL number of students in the class.[1 mark]
  3. 3(a)(iii)Write an equation which may be used to determine the total number of students in the class.[1 mark]
  4. 3(b)(i)Using a ruler, a pencil and a pair of compasses, construct triangle ABC with AB = 9 cm, angle ABC = 90° and BC = 6 cm.[4 marks]
  5. 3(b)(ii)Measure and state the size of angle BAC.[1 mark]
  6. 3(b)(iii)On the diagram, show the point D such that ABCD is a parallelogram.[2 marks]

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