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4MA1/1H Jun 2025, Question 8: Indices and factorising quadratics

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 4 marks

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The question, in short

Simplify a⁶ × a¹⁰ and c³⁰ ÷ c¹², then factorise and solve y² − 10y + 21 = 0.

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

Part (a) · 1 mark

Simplify a⁶ × a¹⁰.

  1. 1520 million = 520 000 000
  2. 2= 5.2 × 10⁸

Answer5.2 × 10⁸

Part (b) · 1 mark

Simplify c³⁰ ÷ c¹².

  1. 110⁻⁵ moves the decimal point 5 places left
  2. 28.79 × 10⁻⁵ = 0.0000879

Answer0.0000879

Part (c) · 2 marks

  1. 15 × 7 = 35
  2. 210⁴² × 10⁻¹⁸⁰ = 10⁻¹³⁸
  3. 335 × 10⁻¹³⁸
  4. 4= 3.5 × 10⁻¹³⁷

Answer3.5 × 10⁻¹³⁷

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