Track your confidence level (1–5) for each topic, when you last reviewed it, and when to review next. Aligned to the Cambridge IGCSE Additional Mathematics 0606 syllabus for 2026 exams.
| Topic | Sub-Topic | Confidence (1–5) | Last Reviewed | Next Review |
|---|---|---|---|---|
| 1. Functions | Mappings and functions | |||
| 1. Functions | Function notation f(x) | |||
| 1. Functions | Composite functions f(g(x)) | |||
| 1. Functions | Inverse functions | |||
| 1. Functions | Graphs of modulus functions and equations |f(x)| = k | |||
| 2. Quadratic functions | Completing the square and turning points | |||
| 2. Quadratic functions | Maximum and minimum values | |||
| 2. Quadratic functions | Graphs of quadratic functions | |||
| 2. Quadratic functions | Discriminant and nature of roots | |||
| 2. Quadratic functions | Quadratic equations and inequalities | |||
| 2. Quadratic functions | Simultaneous equations (one linear, one quadratic) | |||
| 3. Equations and inequalities | Solving cubic and quartic equations | |||
| 3. Equations and inequalities | Absolute value equations | |||
| 3. Equations and inequalities | Absolute value inequalities | |||
| 3. Equations and inequalities | Graphical solutions of inequalities | |||
| 4. Indices and surds | Laws of indices (including negative and fractional) | |||
| 4. Indices and surds | Operations with surds | |||
| 4. Indices and surds | Rationalising denominators | |||
| 4. Indices and surds | Equations involving surds | |||
| 5. Logarithmic and exponential functions | Laws of logarithms | |||
| 5. Logarithmic and exponential functions | Change of base | |||
| 5. Logarithmic and exponential functions | Solving exponential equations | |||
| 5. Logarithmic and exponential functions | Graphs of y = a^x and y = log_a x | |||
| 5. Logarithmic and exponential functions | Linearising exponential relationships | |||
| 6. Straight-line graphs | Parallel and perpendicular lines | |||
| 6. Straight-line graphs | Midpoint and length of a line segment | |||
| 6. Straight-line graphs | Equation of a line (gradient–intercept and point–gradient) | |||
| 6. Straight-line graphs | Perpendicular distance from a point to a line | |||
| 7. Circular measure | Radians and degrees | |||
| 7. Circular measure | Arc length and sector area | |||
| 7. Circular measure | Angular velocity | |||
| 7. Circular measure | Small-angle approximations (where applicable) | |||
| 8. Trigonometry | Ratios and identities | |||
| 8. Trigonometry | Double-angle and composite identities | |||
| 8. Trigonometry | Solving trigonometric equations | |||
| 8. Trigonometry | Graphs of sin, cos, tan | |||
| 8. Trigonometry | R-formula | |||
| 9. Permutations and combinations | Factorial notation | |||
| 9. Permutations and combinations | Permutations and arrangements | |||
| 9. Permutations and combinations | Combinations and selections | |||
| 9. Permutations and combinations | Problems with restrictions | |||
| 10. Binomial expansion | Binomial expansion for positive integer n | |||
| 10. Binomial expansion | General term in binomial expansion | |||
| 10. Binomial expansion | Binomial coefficients | |||
| 10. Binomial expansion | Applications of binomial expansion | |||
| 11. Vectors | Position vectors and vectors in a plane | |||
| 11. Vectors | Unit vectors and magnitude | |||
| 11. Vectors | Scalar product | |||
| 11. Vectors | Geometric applications (parallel, perpendicular, angle) | |||
| 12. Differentiation | Gradient from first principles | |||
| 12. Differentiation | Derivatives of standard functions | |||
| 12. Differentiation | Product, quotient and chain rules | |||
| 12. Differentiation | Tangents and normals | |||
| 12. Differentiation | Stationary points and classification | |||
| 12. Differentiation | Second derivative | |||
| 13. Integration | Integration as reverse of differentiation | |||
| 13. Integration | Definite integrals | |||
| 13. Integration | Area under a curve | |||
| 13. Integration | Kinematics: displacement, velocity, acceleration |
Use this checklist with our Past Paper Finder to practise weak topics.
Quick answers about this free revision checklist, how to use it for exam prep, and how it relates to the official syllabus.
This revision checklist mirrors the official Cambridge IGCSE Additional Mathematics 0606 syllabus for the 2026 examination series. Every topic and sub-topic on the page is taken from the published syllabus document, so working through the list in order gives you full coverage of what your exam can assess. It covers the Extended tier; Core tier students can use the same checklist and skip Extended-only sub-topics. For the authoritative version, always cross-check with the latest syllabus PDF on your exam board's website before your final revision push.
The number of top-level topic groups varies by subject, but you can see the exact count on this page — each major heading in the checklist corresponds to one syllabus topic group, and each row below it is a syllabus-level sub-topic. Use the confidence column (1–5) to flag which sub-topics need more work, and re-score yourself weekly to track real progress instead of guessing.
8–12 weeks of focused revision, covering 1–2 topic groups per week with weekly past-paper practice, is realistic for most GCSE / IGCSE students. Use this checklist to plan your weeks: filter by topics you have rated 1–3 and spend your first revision block there. Subjects with heavy practical or extended-writing components (e.g. sciences, English) need more past-paper time in the final block than the topic-by-topic phase.
Revise in roughly the order the syllabus lists the topics — exam boards build later topics on earlier ones, so taking them in syllabus order avoids gaps. Once you have rated every topic, switch to weakest-first: filter the checklist by confidence ≤ 2 and prioritise those topics in your next study block. This is more effective than re-revising topics you already score 4–5 on.
You can find past papers and mark schemes via Tutopiya's Past Paper Finder and on your exam board's official site. Once you have rated each sub-topic on this checklist, attempt past-paper questions on your weakest topics first — practising under timed conditions is the single best predictor of exam performance, more so than re-reading notes.
Use the Download CSV or Print PDF button at the bottom of the checklist. CSV opens in Excel, Numbers or Google Sheets so you can sort by confidence and re-arrange revision order. The PDF is print-ready for offline use. A free Tutopiya account is required for download — this also unlocks the matching topic resources, notes and worked examples on the Learning Portal.
Yes, the checklist itself is free — you can view, score and re-score every topic on this page without an account. The CSV / PDF downloads and access to matching Tutopiya Learning Portal resources require a free account. There is no payment required at any point; teachers and parents can also use this checklist freely with their students.
Yes. The topics and sub-topics on this page are drawn from the current 2026 Cambridge IGCSE Additional Mathematics 0606 specification published by Cambridge. Exam boards occasionally tweak weighting or assessment structure mid-cycle, so do a quick sanity-check against the official syllabus PDF when you start your revision and again 4 weeks before the exam.