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4MA1/2F Jun 2023, Question 13: Constructing Equations

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 6 marks

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The question, in short

Expand a product, factorise an expression fully, and write a formula for total cheese slices T from h small packs and j large packs.

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

Part (a) · 1 mark

Expand x(3 − x).

  1. 1x(3 − x) = 3x − x²

Answer3x − x²

Part (b) · 2 marks

Factorise 12a − 18b fully.

  1. 112a − 18b
  2. 2find the highest common factor, 6
  3. 36 × 2a = 12a, 6 × 3b = 18b
  4. 412a − 18b = 6(2a − 3b)

Answer6(2a − 3b)

Part (c) · 3 marks

Using 8 slices per small pack and 20 per large pack, write T in terms of h and j.

  1. 1each small pack has 8 slices, so h packs give 8h slices
  2. 2each large pack has 20 slices, so j packs give 20j slices
  3. 3total slices T = 8h + 20j

AnswerT = 8h + 20j

Stuck on a step? Read the free lesson: Constructing Equations

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