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4MA1/2H Jun 2025, Question 5: Finding Missing Sides

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 4 marks

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The question, in short

Use similar quadrilaterals ABCD and EFGH with AB = 5 cm, BC = 4 cm, FG = 10 cm, GH = 24 cm to find missing sides x and y.

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

Part (a) · 2 marks

Calculate x, the side EF, using corresponding sides of the two similar quadrilaterals.

  1. 1BC corresponds to FG
  2. 2Scale factor = 10 ÷ 4 = 2.5
  3. 3x = 5 × 2.5
  4. 4x = 12.5

Answer12.5

Part (b) · 2 marks

Calculate y, the side CD, using corresponding sides of the two similar quadrilaterals.

  1. 1CD corresponds to GH
  2. 2y = 24 ÷ 2.5
  3. 3y = 9.6

Answer9.6

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