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4MA1/2HR Jan 2020, Question 20: Area Factor of Similar Shapes

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

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The question, in short

Two similar vases have heights 9 cm and 13 cm. Their combined surface areas total 1800 cm². Work out the surface area of the smaller vase.

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

Solution · 4 marks

  1. 1Area scale factor from A to B = 13² ÷ 9² = 169/81
  2. 2A + (169/81)A = 1800
  3. 3(250/81)A = 1800
  4. 4A = 1800 × 81 ÷ 250 = 583.2, so 583

Answer583

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