Number — IGCSE Mathematics 0580

Number — IGCSE Mathematics 0580: 6 chapters and 307 lesson cards — AI teacher explanations, worked examples, diagrams, common mistakes and exam-style questions, aligned to the Cambridge IGCSE Mathematics 0580 syllabus.

Topics

  1. 1.1–1.2 Types of Number and Sets — Introduction · Key ideas — Families of numbers · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Key ideas — Prime factors, HCF and LCM · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Key ideas — Set language · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Key ideas — Venn diagrams · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Worked examples · 🔍 Worked example — Easy · 🔍 Worked example — Exam-style · ⚠️ Common errors · Common mistakes · Practice
  2. 1.3, 1.7, 1.18 Powers, Roots, Indices and Surds — Introduction · Key ideas — Powers and roots to know · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Key ideas — Rules of indices · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Key ideas — Simplifying surds · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Key ideas — Rationalising the denominator · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Worked examples · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · Common mistakes · Practice
  3. 1.4–1.6 Fractions, Decimals, Ordering and the Four Operations — Introduction · Key ideas — Forms and conversions · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Key ideas — Recurring decimals · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Key ideas — Ordering · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Key ideas — Order of operations · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Key ideas — Fractions and negative numbers · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Worked examples · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · Common mistakes · Practice
  4. 1.8–1.10, 1.14 Standard Form, Estimation, Limits of Accuracy and Calculators — Introduction · Key ideas — Standard form · Key ideas — Rounding and significant figures · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Key ideas — Estimation · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Key ideas — Upper and lower bounds · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Key ideas — Using a calculator · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Worked examples · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · Common mistakes · Practice
  5. 1.11, 1.12, 1.15, 1.16 Ratio, Rates, Time and Money — Introduction · Key ideas — Ratio · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Key ideas — Proportional reasoning · Key ideas — Rates · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Key ideas — Average speed · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Key ideas — Time and money · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Worked examples · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · Common mistakes · Practice
  6. 1.13, 1.17 Percentages and Exponential Growth and Decay — Introduction · Key ideas — Basic percentages · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Key ideas — Multipliers · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Key ideas — Simple and compound interest · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Key ideas — Reverse percentages · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Key ideas — Exponential growth and decay · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Worked examples · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · Common mistakes · Practice