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2 marksProblem Solving with Venn Diagrams

CSEC Mathematics · January 2013 · Paper 2 · Question 3(a)(ii)

There are 50 students in a class. Awards were given for Mathematics or Science. 36 students received awards in either Mathematics or Science. 6 students received awards in BOTH Mathematics and Science. 2x students received awards for Mathematics only. x students received awards for Science only. U = {all the students in the class}, M = {students who received awards for Mathematics}, S = {students who received awards for Science}.

Calculate the value of x.

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Other parts of this question

  1. 3(a)(i)Copy and complete the Venn Diagram to represent the information about the awards given, showing the number of students in EACH subset.[4 marks]
  2. 3(b)(i)a)Calculate, giving a reason for your answer, the measure of ∠ BAC.[4 marks]
  3. 3(b)(i)b)Calculate, giving a reason for your answer, the measure of ∠ AED.[4 marks]
  4. 3(b)(ii)Explain why triangles ABC and ADE are similar but not congruent.[2 marks]

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