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JAMB Mathematics 1983 Question 12

Question 12

Data Presentation

In a class of 60 pupils, the statistical distribution of the number of pupils offering Biology, History, French, Geography and Additional Mathematics is as shown in the pie chart above. How many pupils offer Additional Mathematics?

Diagram for this question
  1. A.15
  2. B.10
  3. C.18
  4. D.12
  5. E.28.
Show the answer and explanation

Answer: B (10)

Explanation

The angles add to 360°: (2x − 24) + (3x − 18) + (2x + 12) + (x + 12) + x = 9x − 18 = 360, so x = 42. Additional Mathematics has 60°, i.e. 60/360 × 60 = 10 pupils.