Track your confidence level (1–5) for each topic, when you last reviewed it, and when to review next. Aligned to the CIE IGCSE Mathematics 0580 syllabus for 2026 exams.
| Topic | Sub-Topic | Resources | Confidence (1–5) | Last Reviewed | Next Review |
|---|---|---|---|---|---|
| 1. Number | Types of number (natural, integer, prime, HCF, LCM) | LearnOpens subject resources | |||
| 1. Number | Sets and Venn diagrams | LearnOpens subject resources | |||
| 1. Number | Powers and roots | LearnOpens subject resources | |||
| 1. Number | Fractions, decimals and percentages | LearnOpens subject resources | |||
| 1. Number | Ordering and the four operations | LearnOpens subject resources | |||
| 1. Number | Indices and standard form | LearnOpens subject resources | |||
| 1. Number | Estimation and limits of accuracy | LearnOpens subject resources | |||
| 1. Number | Ratio and proportion | LearnOpens subject resources | |||
| 1. Number | Rates (speed, density, etc.) | LearnOpens subject resources | |||
| 1. Number | Percentages (increase, decrease, interest) | LearnOpens subject resources | |||
| 1. Number | Time and money | LearnOpens subject resources | |||
| 1. Number | Exponential growth and decay (Extended) | LearnOpens subject resources | |||
| 1. Number | Surds (Extended) | LearnOpens subject resources | |||
| 2. Algebra and graphs | Introduction to algebra | LearnOpens subject resources | |||
| 2. Algebra and graphs | Algebraic manipulation (expand, factorise) | LearnOpens subject resources | |||
| 2. Algebra and graphs | Algebraic fractions (Extended) | LearnOpens subject resources | |||
| 2. Algebra and graphs | Indices | LearnOpens subject resources | |||
| 2. Algebra and graphs | Changing the subject of a formula | ||||
| 2. Algebra and graphs | Equations (linear, quadratic, simultaneous) | LearnOpens subject resources | |||
| 2. Algebra and graphs | Inequalities | LearnOpens subject resources | |||
| 2. Algebra and graphs | Sequences and nth term | LearnOpens subject resources | |||
| 2. Algebra and graphs | Proportion (Extended) | LearnOpens subject resources | |||
| 2. Algebra and graphs | Graphs in practical situations | LearnOpens subject resources | |||
| 2. Algebra and graphs | Graphs of functions | LearnOpens subject resources | |||
| 2. Algebra and graphs | Sketching curves | LearnOpens subject resources | |||
| 2. Algebra and graphs | Differentiation (Extended) | LearnOpens subject resources | |||
| 2. Algebra and graphs | Functions (Extended) | LearnOpens subject resources | |||
| 3. Coordinate geometry | Coordinates | LearnOpens subject resources | |||
| 3. Coordinate geometry | Drawing linear graphs | LearnOpens subject resources | |||
| 3. Coordinate geometry | Gradient of linear graphs | LearnOpens subject resources | |||
| 3. Coordinate geometry | Equations of linear graphs | LearnOpens subject resources | |||
| 3. Coordinate geometry | Parallel lines | LearnOpens subject resources | |||
| 3. Coordinate geometry | Linear programming (Extended) | ||||
| 4. Geometry | Geometrical terms | LearnOpens subject resources | |||
| 4. Geometry | Geometrical constructions | LearnOpens subject resources | |||
| 4. Geometry | Scale drawings and bearings | LearnOpens subject resources | |||
| 4. Geometry | Similarity | LearnOpens subject resources | |||
| 4. Geometry | Symmetry | LearnOpens subject resources | |||
| 4. Geometry | Angles (parallel lines, polygons) | LearnOpens subject resources | |||
| 4. Geometry | Circle theorems | LearnOpens subject resources | |||
| 5. Mensuration | Units of measure | LearnOpens subject resources | |||
| 5. Mensuration | Area and perimeter | LearnOpens subject resources | |||
| 5. Mensuration | Circles, arcs and sectors | LearnOpens subject resources | |||
| 5. Mensuration | Surface area and volume | LearnOpens subject resources | |||
| 5. Mensuration | Compound shapes | LearnOpens subject resources | |||
| 6. Trigonometry | Pythagoras' theorem | LearnOpens subject resources | |||
| 6. Trigonometry | Right-angled triangles (sine, cosine, tangent) | LearnOpens subject resources | |||
| 6. Trigonometry | Sine and cosine rules (Extended) | LearnOpens subject resources | |||
| 6. Trigonometry | Trigonometric graphs (Extended) | LearnOpens subject resources | |||
| 7. Transformations and vectors | Transformations (translation, reflection, rotation, enlargement) | LearnOpens subject resources | |||
| 7. Transformations and vectors | Vectors | LearnOpens subject resources | |||
| 8. Probability | Introduction to probability | LearnOpens subject resources | |||
| 8. Probability | Relative and expected frequencies | LearnOpens subject resources | |||
| 8. Probability | Probability of combined events | LearnOpens subject resources | |||
| 9. Statistics | Classifying and tabulating data | LearnOpens subject resources | |||
| 9. Statistics | Interpreting statistical data | LearnOpens subject resources | |||
| 9. Statistics | Averages and range | LearnOpens subject resources | |||
| 9. Statistics | Statistical charts and diagrams | LearnOpens subject resources | |||
| 9. Statistics | Scatter diagrams | LearnOpens subject resources | |||
| 9. Statistics | Cumulative frequency and box plots (Extended) | LearnOpens subject resources | |||
| 9. Statistics | Histograms (Extended) | LearnOpens subject resources |
Use this checklist with our Past Paper Finder to practise weak topics. Confidence: 1 = very low, 5 = confident.
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 Mathematics 0580 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 Mathematics 0580 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.