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4MA1/1FR Jun 2025, Question 23: Rearranging Formulas

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1FR (Foundation) · Calculator · 8 marks

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The question, in short

Complete five short algebra tasks: expand a product, rearrange a formula, simplify two index expressions, factorise a quadratic and solve it.

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

Part (a) · 1 mark

Expand the bracket x(x − 3).

  1. 1x × x = x²
  2. 2x × (−3) = −3x
  3. 3= x² − 3x

Answerx² − 3x

Part (b) · 2 marks

Rearrange m = (t + 4)/5 to make t the subject.

  1. 1m = (t + 4)/5
  2. 25m = t + 4
  3. 3t = 5m − 4

Answert = 5m − 4

Part (c) · 1 mark

Simplify a⁶ × a¹⁰ using index laws.

  1. 1Add the powers: 6 + 10 = 16
  2. 2= a¹⁶

Answera¹⁶

Part (d) · 1 mark

Simplify c³⁰ ÷ c¹² using index laws.

  1. 1Subtract the powers: 30 − 12 = 18
  2. 2= c¹⁸

Answerc¹⁸

Part (ei) · 2 marks

Factorise the quadratic y² − 10y + 21.

  1. 1Need two numbers that multiply to 21 and add to −10
  2. 2−3 and −7
  3. 3= (y − 3)(y − 7)

Answer(y − 3)(y − 7)

Part (eii) · 1 mark

Using your factorisation, solve y² − 10y + 21 = 0.

  1. 1(y − 3)(y − 7) = 0
  2. 2y − 3 = 0 or y − 7 = 0
  3. 3y = 3 or y = 7

Answer3, 7

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