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4MA1/1F Jan 2023, Question 12: Addition and Subtraction of Fractions

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

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The question, in short

Two-part arithmetic question: show a fraction subtraction equals 11/24, and find the HCF of 130 and 208 showing working.

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

Part (a) · 2 marks

Show that subtracting 5/12 from 7/8 gives 11/24.

  1. 17/8 = 21/24
  2. 25/12 = 10/24
  3. 321/24 − 10/24 = 11/24

Answer7/8 − 5/12 = 21/24 − 10/24 = 11/24

Part (b) · 2 marks

Find the highest common factor of 130 and 208, showing working clearly.

  1. 1130 = 2 × 5 × 13
  2. 2208 = 2⁴ × 13
  3. 3Common prime factors are 2 and 13
  4. 42 × 13 = 26

Answer26

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