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4MA1/2FR Jan 2020, Question 5: Dividing in a Given Ratio

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 3 marks

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The question, in short

Points A, B, C, D lie in that order on one straight line, with AB = 30 cm and AC = 96 cm. Given BC = 3CD, work out the distance AD.

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

Solution · 3 marks

  1. 1BC = AC − AB = 96 − 30 = 66 cm
  2. 2CD = BC ÷ 3 = 66 ÷ 3 = 22 cm
  3. 3AD = AC + CD = 96 + 22 = 118

Answer118

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