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4MA1/2F Jan 2023, Question 8: Solving Linear Equations

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

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The question, in short

Apply two number machines and a hire-cost rule: find outputs, complete a missing operation, and work out a cost and a number of days.

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

Part (a) · 1 mark

Use the machine input × 5 then − 7 with input 9 to work out the output.

  1. 19 × 5 = 45
  2. 245 − 7 = 38

Answer38

Part (b) · 1 mark

Complete the machine input ÷ 5 then a blank operation so input 30 gives output 18.

  1. 130 ÷ 5 = 6
  2. 26 × 3 = 18
  3. 3or 6 + 12 = 18

Answer×3 or +12

Part (c) · 1 mark

Find James's total cost for 3 days using 8 euros per day plus 5 euros.

  1. 18 × 3 = 24
  2. 224 + 5 = 29

Answer29

Part (d) · 2 marks

Given Sophia's total cost is 61 euros, find how many days she hired the mixer.

  1. 161 − 5 = 56
  2. 256 ÷ 8 = 7

Answer7

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