4MA1/1H Jun 2025, Question 18: Inverse proportion (cube)
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 4 marks
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The question, in short
F is inversely proportional to r³, and F = 6 when r = 2. Find a formula for F, then find r when F = 3072.
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Solution · 4 marks
- 1y = k/x³
- 24 = k/3³, so k = 4 × 27 = 108
- 3864 = 108/x³
- 4x³ = 108/864 = 1/8
- 5x = ∛(1/8) = 0.5
Answer0.5
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