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4MA1/2F Jun 2024, Question 11: Constructing Equations

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 8 marks

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The question, in short

Simplify algebraic expressions, expand and factorise, then form a formula for total toy cars T sold from d packs of 3 and h boxes of 5.

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

Part (a) · 1 mark

Write e multiplied by itself five times as a single power.

  1. 1e × e × e × e × e = e⁵

Answere⁵

Part (b) · 1 mark

Write the sum of three identical terms m as a single term.

  1. 1m + m + m = 3m

Answer3m

Part (c) · 1 mark

Combine the three like terms in g² to give one simplified term.

  1. 13g² + 7g² − 4g² = (3 + 7 − 4)g² = 6g²

Answer6g²

Part (d) · 1 mark

Multiply out the bracket a(a + 8).

  1. 1a(a + 8) = a×a + a×8 = a² + 8a

Answera² + 8a

Part (e) · 1 mark

Write 15x + 20 as a product of a common factor and a bracket.

  1. 115x + 20 = 5×3x + 5×4 = 5(3x + 4)

Answer5(3x + 4)

Part (f) · 3 marks

Express T in terms of d and h using 3 cars per pack and 5 per box.

  1. 1Each pack has 3 toy cars, so d packs give 3d cars
  2. 2Each box has 5 toy cars, so h boxes give 5h cars
  3. 3Total cars T = 3d + 5h

AnswerT = 3d + 5h

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

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