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4MA1/2F Jan 2023, Question 5: Earnings and Deductions

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 5 marks

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The question, in short

Use the parcel weight-cost table to find a total postage cost for two parcels and the maximum weight of a third parcel given a combined cost.

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

Part (a) · 2 marks

Find the total cost of sending a 1.3 kg parcel and an 8 kg parcel using the table.

  1. 11.3 kg falls in the 1 < w ≤ 2 range, so cost is £9.02
  2. 28 kg falls in the 5 < w ≤ 10 range, so cost is £21.90
  3. 39.02 + 21.90 = 30.92

Answer30.92

Part (b) · 3 marks

Given three parcels cost £33.89 total, with weights 1.5 kg and 2.8 kg, find the greatest possible weight of the third.

  1. 11.5 kg falls in the 1 < w ≤ 2 range, so cost is £9.02
  2. 22.8 kg falls in the 2 < w ≤ 5 range, so cost is £15.85
  3. 39.02 + 15.85 = 24.87
  4. 433.89 − 24.87 = 9.02
  5. 5The cost of the third parcel is £9.02
  6. 6£9.02 corresponds to the weight range 1 < w ≤ 2
  7. 7The greatest possible weight in this range is 2 kg

Answer2

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