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4MA1/1F Jun 2020, Question 9: Constructing Equations

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 7 marks

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The question, in short

Given c = 4 and d = 7, evaluate 3c + 2d; with p = −6 and m = −2, evaluate 2p² + 3m; and write a formula for total eggs T from g small boxes of 6 and h large boxes of 12.

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Part (a) · 2 marks

Substitute c = 4 and d = 7 into 3c + 2d and work out the value.

  1. 13 × 4 = 12
  2. 22 × 7 = 14
  3. 312 + 14 = 26

Answer26

Part (b) · 2 marks

Substitute p = −6 and m = −2 into 2p² + 3m and work out the value.

  1. 1(−6)² = 36
  2. 22 × 36 = 72
  3. 33 × (−2) = −6
  4. 472 + (−6) = 66

Answer66

Part (c) · 3 marks

Write a formula for T, the total number of eggs, in terms of g small boxes and h large boxes.

  1. 1Each small box has 6 eggs, so g boxes give 6g eggs
  2. 2Each large box has 12 eggs, so h boxes give 12h eggs
  3. 3Total eggs T = 6g + 12h

AnswerT = 6g + 12h

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