Quelpr
2 marksProblem Solving with Venn Diagrams

CSEC Mathematics · May/June 2016 · Paper 2 · Question 3(a)(iii)

A Venn diagram shows the number of students studying History (H) and French (F) in a class of 30 students. The diagram shows 18-x students in H only, x students in H and F, 14-x students in F only, and 5 students outside both sets. U represents the set of all students.

Determine the number of students who study BOTH History and French.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 3(a)(i)Write an expression, in x, in its simplest form, for the TOTAL number of students in the class.[2 marks]
  2. 3(a)(ii)State whether the following relationships are true or false: H U F = U and H ∩ F' = Ø.[2 marks]
  3. 3(b)(i)Using a ruler, a pencil and a pair of compasses, construct triangle PQR with PQ = 5 cm, ∠ PQR = 60° and ∠ QPR = 90°.[4 marks]
  4. 3(b)(ii)Measure and state the length of PR and the measure of ∠ PRQ.[2 marks]

More practice: the rest of this paper · more Problem Solving with Venn Diagrams questions · all CSEC Mathematics past papers