4PM1/01R Jun 2025, Question 1: Surds
Pearson Edexcel International GCSE Further Pure Mathematics 4PM1 · Paper 1R · Calculator · 3 marks
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The question, in short
Solve (8 − √6)w = 50 without a calculator, giving w as (a + b√6)/c with integers a, b and prime c, showing working.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 3 marks
- 1w = 50/(8 − √6)
- 2Multiply by (8 + √6)/(8 + √6)
- 3Denominator: 64 − 6 = 58
- 4w = (400 + 50√6)/58
- 5w = (200 + 25√6)/29
Answerw = (200 + 25√6)/29
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