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4MA1/1F Jan 2019, Question 9: Substitution

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

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The question, in short

Using the formulas h = 6q − 2u and B = 3m + 2p, substitute given values to find h, then rearrange to find p.

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

Part (a) · 2 marks

Substitute q = 3 and u = −5 into h = 6q − 2u and calculate h.

  1. 16 × 3 = 18
  2. 22 × (−5) = −10
  3. 318 − (−10) = 18 + 10 = 28

Answer28

Part (b) · 2 marks

Given B = 2 and m = 5 in B = 3m + 2p, solve for p.

  1. 1Substitute: 2 = 3 × 5 + 2p, so 2 = 15 + 2p
  2. 2Subtract 15: 2p = −13
  3. 3p = −13/2

Answer−13/2

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