Cambridge IGCSE Mathematics (0580) – Topical Revision Checklist 2026

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.

Open topic resources (Learning Portal)
TopicSub-TopicResourcesConfidence (1–5)Last ReviewedNext Review
1. NumberTypes of number (natural, integer, prime, HCF, LCM)
LearnOpens subject resources
1. NumberSets and Venn diagrams
LearnOpens subject resources
1. NumberPowers and roots
LearnOpens subject resources
1. NumberFractions, decimals and percentages
LearnOpens subject resources
1. NumberOrdering and the four operations
LearnOpens subject resources
1. NumberIndices and standard form
LearnOpens subject resources
1. NumberEstimation and limits of accuracy
LearnOpens subject resources
1. NumberRatio and proportion
LearnOpens subject resources
1. NumberRates (speed, density, etc.)
LearnOpens subject resources
1. NumberPercentages (increase, decrease, interest)
LearnOpens subject resources
1. NumberTime and money
LearnOpens subject resources
1. NumberExponential growth and decay (Extended)
LearnOpens subject resources
1. NumberSurds (Extended)
LearnOpens subject resources
2. Algebra and graphsIntroduction to algebra
LearnOpens subject resources
2. Algebra and graphsAlgebraic manipulation (expand, factorise)
LearnOpens subject resources
2. Algebra and graphsAlgebraic fractions (Extended)
LearnOpens subject resources
2. Algebra and graphsIndices
LearnOpens subject resources
2. Algebra and graphsChanging the subject of a formula
2. Algebra and graphsEquations (linear, quadratic, simultaneous)
LearnOpens subject resources
2. Algebra and graphsInequalities
LearnOpens subject resources
2. Algebra and graphsSequences and nth term
LearnOpens subject resources
2. Algebra and graphsProportion (Extended)
LearnOpens subject resources
2. Algebra and graphsGraphs in practical situations
LearnOpens subject resources
2. Algebra and graphsGraphs of functions
LearnOpens subject resources
2. Algebra and graphsSketching curves
LearnOpens subject resources
2. Algebra and graphsDifferentiation (Extended)
LearnOpens subject resources
2. Algebra and graphsFunctions (Extended)
LearnOpens subject resources
3. Coordinate geometryCoordinates
LearnOpens subject resources
3. Coordinate geometryDrawing linear graphs
LearnOpens subject resources
3. Coordinate geometryGradient of linear graphs
LearnOpens subject resources
3. Coordinate geometryEquations of linear graphs
LearnOpens subject resources
3. Coordinate geometryParallel lines
LearnOpens subject resources
3. Coordinate geometryLinear programming (Extended)
4. GeometryGeometrical terms
LearnOpens subject resources
4. GeometryGeometrical constructions
LearnOpens subject resources
4. GeometryScale drawings and bearings
LearnOpens subject resources
4. GeometrySimilarity
LearnOpens subject resources
4. GeometrySymmetry
LearnOpens subject resources
4. GeometryAngles (parallel lines, polygons)
LearnOpens subject resources
4. GeometryCircle theorems
LearnOpens subject resources
5. MensurationUnits of measure
LearnOpens subject resources
5. MensurationArea and perimeter
LearnOpens subject resources
5. MensurationCircles, arcs and sectors
LearnOpens subject resources
5. MensurationSurface area and volume
LearnOpens subject resources
5. MensurationCompound shapes
LearnOpens subject resources
6. TrigonometryPythagoras' theorem
LearnOpens subject resources
6. TrigonometryRight-angled triangles (sine, cosine, tangent)
LearnOpens subject resources
6. TrigonometrySine and cosine rules (Extended)
LearnOpens subject resources
6. TrigonometryTrigonometric graphs (Extended)
LearnOpens subject resources
7. Transformations and vectorsTransformations (translation, reflection, rotation, enlargement)
LearnOpens subject resources
7. Transformations and vectorsVectors
LearnOpens subject resources
8. ProbabilityIntroduction to probability
LearnOpens subject resources
8. ProbabilityRelative and expected frequencies
LearnOpens subject resources
8. ProbabilityProbability of combined events
LearnOpens subject resources
9. StatisticsClassifying and tabulating data
LearnOpens subject resources
9. StatisticsInterpreting statistical data
LearnOpens subject resources
9. StatisticsAverages and range
LearnOpens subject resources
9. StatisticsStatistical charts and diagrams
LearnOpens subject resources
9. StatisticsScatter diagrams
LearnOpens subject resources
9. StatisticsCumulative frequency and box plots (Extended)
LearnOpens subject resources
9. StatisticsHistograms (Extended)
LearnOpens subject resources

Use this checklist with our Past Paper Finder to practise weak topics. Confidence: 1 = very low, 5 = confident.

Related Tools

Cambridge IGCSE Mathematics 0580 revision checklist FAQ

Quick answers about this free revision checklist, how to use it for exam prep, and how it relates to the official syllabus.

What does the 2026 Cambridge IGCSE Mathematics 0580 syllabus cover?

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.

How many topics are on the Cambridge IGCSE Mathematics 0580 exam?

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.

How long should I spend revising for Cambridge IGCSE Mathematics 0580?

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.

What's the best order to revise Mathematics topics?

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.

Where can I find Cambridge IGCSE Mathematics 0580 past papers and mark schemes?

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.

How do I download this revision checklist as a PDF or CSV?

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.

Is this Mathematics revision checklist free to use?

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.

Does this checklist match the latest Cambridge IGCSE Mathematics 0580 specification?

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.