Quelpr
2 marksVenn Diagrams

CSEC Mathematics · May/June 2012 · Paper 2 · Question 3(a)

In a survey of 36 students, it was found that 30 play tennis, x play volleyball ONLY, 9x play BOTH tennis and volleyball, and 4 play neither tennis nor volleyball. U = {students in the survey}, V = {students who play Volleyball}, T = {students who play Tennis}.

Copy and complete the Venn diagram below to show the number of students in the subsets marked y and z.

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Other parts of this question

  1. 3(a)(ii)a)Write an expression in x to represent the TOTAL number of students in the survey.[1 mark]
  2. 3(a)(ii)b)Write an equation in x to represent the total number of students in the survey and hence solve for x.[2 marks]
  3. 3(b)(i)Copy the diagram and label it to show the points Q and R, and the distances 20 km and 15 km.[2 marks]
  4. 3(b)(ii)Calculate PR, the shortest distance of the ship from the port where the journey started.[2 marks]
  5. 3(b)(iii)Calculate the measure of angle QPR, giving your answer to the nearest degree.[3 marks]

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