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4MA1/1HR Jun 2023, Question 18: Upper and Lower Bounds

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

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The question, in short

Using rounded measurements for a 50 m fence and 1.3 m panels costing £8.65 each, find the greatest possible difference in total cost, buying whole panels only.

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

Solution · 4 marks

  1. 147.5 / 1.35 = 35.18...
  2. 236 panels needed (round up)
  3. 352.5 / 1.25 = 42
  4. 442 panels needed (round up)
  5. 536 × 8.65 = 311.4
  6. 642 × 8.65 = 363.3
  7. 7363.3 − 311.4 = 51.9

Answer£51.90

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