Series, Vectors and Counting — O Level Additional Mathematics 4037

Series, Vectors and Counting — O Level Additional Mathematics 4037: 3 chapters and 173 lesson cards — AI teacher explanations, worked examples, diagrams, common mistakes and exam-style questions, aligned to the Cambridge O Level Additional Mathematics 4037 syllabus.

Topics

1. 11 Permutations and Combinations — Introduction · Key ideas — Factorials · 🧑‍🏫 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 — Permutations: order matters · 🧑‍🏫 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 — Combinations: order does not matter · 🧑‍🏫 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 — Restrictions · 🧑‍🏫 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 — Algebraic problems · 🧑‍🏫 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
2. 12 Series — Introduction · Key ideas — The binomial theorem · 🧑‍🏫 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 — The general term · 🧑‍🏫 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 — Arithmetic progressions · 🧑‍🏫 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 — Geometric progressions · 🧑‍🏫 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 — Sum to infinity · 🧑‍🏫 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. 13 Vectors in Two Dimensions — Introduction · Key ideas — Notation · 🧑‍🏫 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 — Magnitude and unit vectors · 🧑‍🏫 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 — Position vectors and geometry · 🧑‍🏫 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 — Equating like vectors · 🧑‍🏫 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 — Velocity and position · 🧑‍🏫 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