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4MA1/2FR Jun 2025, Question 13: Substitution

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

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The question, in short

Factorise an expression, solve a formula for p given d and r, and write expressions for packets and sweets bought using m and n.

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

Part (a) · 1 mark

Factorise 15 − 5x.

  1. 1HCF of 15 and 5x is 5
  2. 215 − 5x = 5(3 − x)

Answer5(3 − x)

Part (b) · 3 marks

Find p when d = 35 and r = 2 in d = 5p + 7r.

  1. 135 = 5p + 7 × 2
  2. 235 = 5p + 14
  3. 35p = 35 − 14 = 21
  4. 4p = 21 ÷ 5 = 4.2

Answer4.2

Part (ci) · 1 mark

Write an expression in m and n for how many packets Ben buys in total.

  1. 1m small packets and n large packets
  2. 2Total packets = m + n

Answerm + n

Part (cii) · 2 marks

Write an expression in m and n for the total sweets, using 12 per small and 25 per large packet.

  1. 1Sweets in small packets: 12 × m = 12m
  2. 2Sweets in large packets: 25 × n = 25n
  3. 3Total sweets = 12m + 25n

Answer12m + 25n

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