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4MA1/1FR Jun 2022, Question 13: Pie Charts

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1FR (Foundation) · Calculator · 5 marks

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The question, in short

From an incomplete table of favourite exercise with walking 18 at 90° and cycling 15, find the counts for running and swimming using pie chart angles.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Part (a) · 2 marks

Walking is 18 people at 90°; use this to find how many people correspond to the 150° for running.

  1. 1Each person gets 90° ÷ 18 = 5° of the pie chart.
  2. 2Running: 150 ÷ 5 = 30

Answer30

Part (b) · 3 marks

Cycling is 15 people; using the pie chart total, work out how many answered swimming.

  1. 1Walking: 18 people = 90°, so each person = 90 ÷ 18 = 5°
  2. 2Cycling angle = 15 × 5 = 75°
  3. 3Swimming angle = 360 − 90 − 150 − 75 = 45°
  4. 4Swimming people = 45 ÷ 5 = 9

Answer9

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