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4MA1/1FR Jan 2023, Question 12: Constructing Equations

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1FR (Foundation) · Calculator · 5 marks

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The question, in short

Apply Aarav's rule, time = 2.5 × km + 1.5 × stops, to estimate a journey's time from 12 km and 5 stops, then find the distance for a 55-minute journey with 8 stops.

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Part (a) · 2 marks

Use the rule with 12 kilometres and 5 bus stops to estimate the journey time in minutes.

  1. 12.5 × 12 = 30
  2. 21.5 × 5 = 7.5
  3. 330 + 7.5 = 37.5

Answer37.5

Part (b) · 3 marks

Given 55 minutes and 8 bus stops, use the rule to estimate the journey distance in kilometres.

  1. 11.5 × 8 = 12
  2. 255 − 12 = 43
  3. 343 ÷ 2.5 = 17.2

Answer17.2

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