4MA1/1H Jun 2025, Question 17: Algebraic proof
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 3 marks
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The question, in short
Prove that for three consecutive multiples of 4, (largest)² − (smallest)² is always a multiple of 64.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1Frequency = frequency density × class width
- 2Bars: 10 × 2.5 = 25, 5 × 4 = 20, 15 × 3.6 = 54, 20 × 0.5 = 10, 10 × 1.7 = 17
- 3Total = 25 + 20 + 54 + 10 + 17 = 126
- 4More than 40 min: 10 × 0.5 + 17 = 5 + 17 = 22
- 5Proportion = 22/126 = 11/63
Answer11/63
Stuck on a step? Read the free lesson: Histograms (Unequal Class Intervals)
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