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4MA1/2F Jan 2020, Question 13: Constructing Equations

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

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The question, in short

Algebra tasks: expand a product, factorise an expression, rearrange a formula for p, and form a formula for total seeds T from m boxes of 10 and n packets of 6.

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

Part (a) · 1 mark

Multiply the bracket by the term outside it and simplify the result.

  1. 1x(5 − x) = 5x − x²

Answer5x − x²

Part (b) · 1 mark

Write the expression as a product of a common numerical factor and a bracket.

  1. 13y − 21 = 3(y − 7)

Answer3(y − 7)

Part (c) · 2 marks

Rearrange the equation so that p stands alone on one side.

  1. 1f = 3p − d
  2. 2f + d = 3p
  3. 3p = (f + d)/3

Answerp = (f + d)/3

Part (d) · 3 marks

Express T using m and n, with 10 seeds per box and 6 per packet.

  1. 1Each box has 10 seeds, so m boxes give 10m seeds
  2. 2Each packet has 6 seeds, so n packets give 6n seeds
  3. 3Total seeds T = 10m + 6n

AnswerT = 10m + 6n

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

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