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4MA1/1HR Jun 2020, Question 19: Upper and Lower Bounds

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1HR (Higher) · Calculator · 3 marks

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The question, in short

Using four lengths given to one decimal place, find the upper bound of the shaded area formed by rectangle ABCD with rectangle EFGH removed.

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

Solution · 3 marks

  1. 1For the upper bound, use the largest outer rectangle and the smallest cut-out.
  2. 2Outer upper bound: 8.35 × 7.25 = 60.5375
  3. 3Cut-out lower bound: 6.15 × 5.25 = 32.2875
  4. 4Shaded upper bound = 60.5375 − 32.2875 = 28.25

Answer28.25

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