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4MA1/2FR Jun 2020, Question 8: Substitution

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 7 marks

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The question, in short

Using a room-hire charge of 9 euros per hour plus 20 euros, find a total cost, a number of hours from a given cost, and a formula.

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

Part (a) · 2 marks

Paolo hires for 5 hours; calculate the total cost in euros.

  1. 120 + 9 × 5
  2. 220 + 45
  3. 365

Answer65

Part (b) · 3 marks

Agathe pays 164 euros; determine how many hours she hired the room.

  1. 1Take off the fixed 20 euros: 164 − 20 = 144
  2. 2Each hour costs 9 euros: 144 ÷ 9 = 16

Answer16

Part (c) · 2 marks

Express T, the total cost in euros for n hours, as a formula.

  1. 1Each hour costs 9 euros, so n hours cost 9n euros.
  2. 2Add the fixed 20 euros: T = 9n + 20

Answer9n + 20

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