4MA1/1H Jun 2025, Question 16: Recurring decimals to fractions
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 4 marks
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The question, in short
Use algebra to show that 0.6121212… = 101/165.
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Part (a) · 1 mark
- 1f(9) = 9 − √9
- 2= 9 − 3 = 6
Answer6
Part (b) · 3 marks
- 1fg(x) = f(4x²) = 9 − √(4x²)
- 2= 9 − 2x
- 39 − 2x < 0
- 49 < 2x
- 5x > 9/2 (x > 4.5)
Answerx > 9/2
Stuck on a step? Read the free lesson: Composite Functions
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