Fractions, Decimals & Recurring Decimals | IGCSE Maths 0580 (Real Past Paper Questions)

Write 0.67̇ as a fraction. Students wrote 67/99, 67/100, even 2/3, and all of them were wrong. In this lesson you'll master fractions, decimals and recurring decimals using only real Cambridge IGCSE past-paper questions and the mistakes examiners reported. By the numbers: a recurring decimal question appeared in 7 of the last 11 Paper 2s (March 2025 – June 2026). What's inside: ✔ Equivalent fractions and simplifying ✔ The four operations: common bottom, keep–flip–multiply, mixed numbers ✔ Order of operations, with the mark scheme's M1/A1 marks ✔ Decimals without a calculator (Paper 2) ✔ Recurring decimals to fractions: the method that always works ✔ Calculator Corner: Casio fx-991ES PLUS fractions, powers and S⇔D (Paper 4) ✔ Examiner's warning: 4 mistakes that cost real students marks ✔ Try-it-yourself question, answered at the end Chapters 0:00 0.67̇ as a fraction? 0:40 Welcome: 7 of 11 papers 0:58 Equivalent fractions 1:29 The four operations 2:30 Exam question: 0580/21 June 2025 Q4 3:21 Decimals without a calculator 4:07 Recurring decimals 5:37 Calculator Corner: Casio fx-991ES PLUS 6:23 Examiner's warning: 4 real mistakes 6:55 Try it yourself 7:09 Summary 7:31 Answer & next lesson Past-paper questions used: 0580/21 May/Jun 2026 Q13(b) · 0580/22 May/Jun 2026 Q3, Q4, Q10 · 0580/43 May/Jun 2026 Q1 · 0580/21 May/Jun 2025 Q4 · 0580/22 Feb/Mar 2026 Q1 · 0580/42 Feb/Mar 2026 Q3. Cambridge IGCSE Mathematics 0580, Extended, syllabus 2025–2027 (E1.4, E1.5, E1.6, E1.14). Mathematics Multiverse is an independent channel and is not affiliated with or endorsed by Cambridge University Press & Assessment. Past-paper questions are © Cambridge University Press & Assessment and are shown for educational purposes. #IGCSE #IGCSEMaths #0580 #Fractions #RecurringDecimals