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.

0

confident (4–5)

0

need work (1–3)

77

not started

0 of 77 topics rated0% started

Not sure what to prioritise? Each sub-topic below is tagged by how often it's actually come up in the last 5 years of past papers.

See the full topic priority breakdown →
Open topic resources (Learning Portal)
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TopicSub-TopicResourcesAssessmentsConfidence (1–5)Last ReviewedNext Review
1. Number
Types of number (natural, integer, prime)Low priority
StudyQuiz
1. Number
Factors, multiples, HCF and LCMMedium priority
StudyQuiz
1. Number
Set language and notationLow priority
StudyQuiz
1. Number
Venn diagramsLow priority
StudyQuiz
1. Number
Powers and rootsHigh priority
StudyQuiz
1. Number
Fractions, decimals and percentagesHigh priority
StudyQuiz
1. Number
Ordering and the four operationsLow priority
StudyQuiz
1. Number
Standard formLow priority
StudyQuiz
1. Number
IndicesHigh priority
StudyQuiz
1. Number
Estimation and roundingLow priority
StudyQuiz
1. Number
Limits of accuracyMedium priority
StudyQuiz
1. Number
Ratio and proportionLow priority
StudyQuiz
1. Number
Rate (density, pressure, etc.)Low priority
StudyQuiz
1. Number
Speed, distance and timeLow priority
StudyQuiz
1. Number
Percentage increase and decreaseHigh priority
StudyQuiz
1. Number
Simple and compound interestMedium priority
StudyQuiz
1. Number
Money calculations and conversionsLow priority
StudyQuiz
1. Number
Time calculationsLow priority
StudyQuiz
1. Number
Exponential growth and decay (Extended)Low priority
StudyQuiz
1. Number
Surds (Extended)High priority
StudyQuiz
2. Algebra and graphs
Introduction to algebraHigh priority
StudyQuiz
2. Algebra and graphs
Expanding brackets and simplifyingHigh priority
StudyQuiz
2. Algebra and graphs
FactorisationMedium priority
StudyQuiz
2. Algebra and graphs
Algebraic fractions (Extended)Medium priority
StudyQuiz
2. Algebra and graphs
IndicesHigh priority
StudyQuiz
2. Algebra and graphs
Changing the subject of a formulaMedium priority
StudyQuiz
2. Algebra and graphs
Linear equationsMedium priority
StudyQuiz
2. Algebra and graphs
Quadratic equationsHigh priority
StudyQuiz
2. Algebra and graphs
Simultaneous equationsMedium priority
StudyQuiz
2. Algebra and graphs
Linear inequalitiesMedium priority
StudyQuiz
2. Algebra and graphs
Quadratic inequalitiesHigh priority
StudyQuiz
2. Algebra and graphs
Sequences and nth termHigh priority
StudyQuiz
2. Algebra and graphs
Proportion (Extended)Medium priority
StudyQuiz
2. Algebra and graphs
Graphs in practical situationsLow priority
StudyQuiz
2. Algebra and graphs
Graphs of functionsHigh priority
StudyQuiz
2. Algebra and graphs
Sketching curvesHigh priority
StudyQuiz
2. Algebra and graphs
Differentiation (Extended)High priority
StudyQuiz
2. Algebra and graphs
Domain and range of functions (Extended)Not seen in 5yrs
StudyQuiz
2. Algebra and graphs
Composite and inverse functions (Extended)High priority
StudyQuiz
2. Algebra and graphs
Quadratic functions (Extended)Low priority
StudyQuiz
3. Coordinate geometry
CoordinatesMedium priority
StudyQuiz
3. Coordinate geometry
Drawing linear graphsMedium priority
StudyQuiz
3. Coordinate geometry
Gradient of linear graphsMedium priority
StudyQuiz
3. Coordinate geometry
Equations of linear graphsMedium priority
StudyQuiz
3. Coordinate geometry
Parallel linesMedium priority
StudyQuiz
3. Coordinate geometry
Linear programming (Extended)Low priority
StudyQuiz
4. Geometry
Geometrical termsLow priority
StudyQuiz
4. Geometry
Geometrical constructionsLow priority
StudyQuiz
4. Geometry
Scale drawings and bearingsLow priority
StudyQuiz
4. Geometry
SimilarityMedium priority
StudyQuiz
4. Geometry
SymmetryLow priority
StudyQuiz
4. Geometry
Angle facts and parallel linesMedium priority
StudyQuiz
4. Geometry
Angle properties of polygonsLow priority
StudyQuiz
4. Geometry
Circle theoremsMedium priority
StudyQuiz
5. Mensuration
Units of measure
LearnOpens subject resources
5. Mensuration
Area and perimeterMedium priority
StudyQuiz
5. Mensuration
Circles, arcs and sectorsMedium priority
StudyQuiz
5. Mensuration
Surface area and volumeHigh priority
StudyQuiz
5. Mensuration
Compound shapesMedium priority
StudyQuiz
6. Trigonometry
Pythagoras' theoremLow priority
StudyQuiz
6. Trigonometry
Right-angled triangles (sine, cosine, tangent)Low priority
StudyQuiz
6. Trigonometry
Sine rule (Extended)Low priority
StudyQuiz
6. Trigonometry
Cosine rule (Extended)Medium priority
StudyQuiz
6. Trigonometry
Trigonometric graphs (Extended)Low priority
StudyQuiz
7. Transformations and vectors
Transformations (translation, reflection, rotation, enlargement)High priority
StudyQuiz
7. Transformations and vectors
VectorsHigh priority
StudyQuiz
8. Probability
Introduction to probabilityHigh priority
StudyQuiz
8. Probability
Relative and expected frequenciesHigh priority
StudyQuiz
8. Probability
Combined events (tree diagrams)Low priority
StudyQuiz
8. Probability
Combined events (Venn diagrams and tables)Low priority
StudyQuiz
9. Statistics
Classifying and tabulating dataHigh priority
StudyQuiz
9. Statistics
Interpreting statistical dataHigh priority
StudyQuiz
9. Statistics
Averages and rangeHigh priority
StudyQuiz
9. Statistics
Statistical charts and diagramsHigh priority
StudyQuiz
9. Statistics
Scatter diagramsLow priority
StudyQuiz
9. Statistics
Cumulative frequency and box plots (Extended)Medium priority
StudyQuiz
9. Statistics
Histograms (Extended)High priority
StudyQuiz

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.

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