IGCSE Additional Mathematics 0606 - Full Topic List

The complete Cambridge 0606 topic list

Cambridge groups the 0606 topics into four broad categories in the official syllabus. The list below follows that structure, with a brief note on what each topic involves and how frequently it appears in past papers.

• 1. Functions. Domain, range, composite functions f(g(x)), inverse functions, one-to-one and many-to-one mappings. Appears in most Paper 1 and Paper 2 sessions - typically 8 to 12 marks.
• 2. Quadratic functions. Completing the square, discriminant conditions, vertex form, inequality solving. Foundation for later topics; tested regularly at 6 to 10 marks.
• 3. Equations, inequalities and graphs. Modulus functions, solving modulus equations and inequalities, graphs of |f(x)|. Students commonly lose marks on modulus inequalities from sign errors.
• 4. Indices and surds. Laws of indices, rationalising denominators, exact surd answers. Non-calculator paper (Paper 1) tests this heavily - must be automatic.
• 5. Factors of polynomials. Factor theorem, remainder theorem, polynomial division. Appears in about half of past papers at 6 to 8 marks.
• 6. Simultaneous equations. Solving non-linear pairs (one linear, one quadratic or circle). Usually appears once per paper at 4 to 6 marks.
• 7. Logarithmic and exponential functions. Log laws, change of base, solving log equations, exponential growth and decay. Typically 10 to 15 marks per paper - a high-priority revision topic.
• 8. Straight line graphs. Linearising non-linear data, gradient and intercept of log-linear plots, least-squares principles. Usually one 6 to 8 mark question per paper; students who know the standard transforms score reliably here.
• 9. Circular measure. Radians, arc length, sector area, minor and major arc problems. 6 to 8 marks per paper. Mistakes usually come from mixing degrees and radians mid-question.
• 10. Trigonometry. Identities (sin²+cos²=1, tanθ=sinθ/cosθ, compound angle formulae), solving equations in given ranges, proving identities. Typically 15 to 20 marks per paper - the second-highest-weight area after calculus.
• 11. Permutations and combinations. Counting arrangements with and without repetition, nPr and nCr notation, binomial probabilities. Usually one question at 6 to 8 marks. Lower weight than most other topics.
• 12. Series and the binomial theorem. Arithmetic and geometric series, sum to infinity, binomial expansion of (a+b)^n, finding specific terms and coefficients. Typically 8 to 12 marks across questions in both papers.
• 13. Vectors in two dimensions. Position vectors, magnitude, unit vectors, adding and resolving vectors. Usually one question per paper at 6 to 8 marks. Relatively contained and learnable in a few sessions.
• 14. Calculus - differentiation and integration. Differentiating polynomial, trigonometric, log and exponential functions; chain/product/quotient rules; stationary points; integration as the reverse; definite integrals; area under a curve. The highest-weight topic in 0606 - typically 20 to 30 marks per paper across multiple questions.