IGCSE Math RevisionCambridge IGCSE Maths (0580) · Revision notes
Cambridge IGCSE Maths (0580) revision notes
Free revision notes for Cambridge IGCSE Mathematics (0580), for exams from 2025 to 2030 (the 2028–2030 syllabus has no significant changes that affect teaching, Cambridge says). The notes follow the syllabus topic by topic: every sub-topic says what you need to know, marked Core or Extended, with a short explanation and a worked example. Pick a topic below, then time yourself on the 0580 past papers.
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- 9 topics
- 72 sub-topics
- 53 Core and Extended
- 19 Extended only
- Exams 2025 to 2030
The 0580 topics
1. Number
Sub-topics
- 1.1 Types of number
- 1.2 Sets
- 1.3 Powers and roots
- 1.4 Fractions, decimals and percentages
- 1.5 Ordering
- 1.6 The four operations
- 1.7 Indices I
- 1.8 Standard form
- 1.9 Estimation
- 1.10 Limits of accuracy
- 1.11 Ratio and proportion
- 1.12 Rates
- 1.13 Percentages
- 1.14 Using a calculator
- 1.15 Time
- 1.16 Money
- 1.17 Exponential growth and decay Extended
- 1.18 Surds Extended
Questions with worked answers
- Types of Number
- Sets and Venn Diagrams
- Powers and Roots
- Fractions, Decimals and Percentages
- The Four Operations
- Indices
- Standard Form
- Estimation and Rounding
- Limits of Accuracy
- Ratio and Proportion
- Rates and Compound Measures
- Percentages
- Using a Calculator
- Time and Timetables
- Money and Currency Conversion
- Exponential Growth and Decay
- Surds
2. Algebra and graphs
Sub-topics
Questions with worked answers
3. Coordinate geometry
Sub-topics
Questions with worked answers
4. Geometry
Sub-topics
Questions with worked answers
5. Mensuration
Sub-topics
Questions with worked answers
6. Trigonometry
Sub-topics
Questions with worked answers
7. Transformations and vectors
Sub-topics
- 7.1 Transformations
- 7.2 Vectors in two dimensions Extended
- 7.3 Magnitude of a vector Extended
- 7.4 Vector geometry Extended
Questions with worked answers
8. Probability
Sub-topics
Questions with worked answers
9. Statistics
Sub-topics
Questions with worked answers
The 0580 papers (from 2025)
| Paper | Tier | Calculator | Time | Marks |
|---|---|---|---|---|
| Paper 1 | Core | No | 1 h 30 min | 80 |
| Paper 2 | Extended | No | 2 h | 100 |
| Paper 3 | Core | Yes | 1 h 30 min | 80 |
| Paper 4 | Extended | Yes | 2 h | 100 |
Core: Papers 1 and 3 (grades C to G). Extended: Papers 2 and 4 (grades A* to E). Half of the marks are on a non-calculator paper, so practise arithmetic, fractions, surds and exact values by hand: our 0580 non-calculator guide shows the written methods. See the 0580 past papers and specimen papers. Not sure which tier? Core or Extended: how to choose.
Every sub-topic with its C and E code, to tick off as you go: Cambridge 0580 syllabus checklist (printable).
How this site covers 0580
This site began with Edexcel International GCSE (4MA1), Higher tier, which shares most of its content with 0580 Extended. By our map of the two syllabuses:
- 55 sub-topics are the same mathematics: each links to our Edexcel 4MA1 notes, and the 0580 practice pages have our 4MA1 Higher questions for them (Extended level), plus questions written for 0580 Core wherever the sub-topic has Core content.
- 13 sub-topics are partly in 4MA1: the notes cover the missing part, with worked examples, and each has practice questions written for 0580.
- 4 sub-topics are not in 4MA1 (time, exact trigonometric values, classifying statistical data, scatter diagrams): new notes and worked examples, and practice questions written for 0580.
0580 practice: 742 questions written for 0580 (486 Core, 256 Extended, 485 non-calculator for Papers 1 and 2), each re-solved independently before publishing, plus the 4MA1 questions above. Practise by topic: Number · Algebra and graphs · Coordinate geometry · Geometry · Mensuration · Trigonometry · Transformations and vectors · Probability · Statistics. Practice is part of the IGCSE plan, with a free preview.
Core students: use the Core filter on a practice page to see only the questions written for 0580 Core; every sub-topic with Core content has them. Revising for Edexcel instead? Use the Edexcel 4MA1 revision notes.
Revise and practise
- Cambridge IGCSE Maths 0580 past papers and mark schemes, linked to Cambridge's own copies
- Cambridge IGCSE Maths 0580 formula sheet: every formula on one page (free PDF), Core and Extended, with the ones on the paper's formula list
- 0580 practice by topic, starting with Number: questions tagged Core or Extended and non-calculator or calculator
- Student hub: practise the shared topics, each question marked
- Cambridge 0580 questions by topic: original questions on every sub-topic, marked Core or Extended, with worked answers
- 0580 vs 4MA1: which is harder? The two IGCSE courses compared, with example questions side by side
- 0580 knowledge organisers (one printable page per topic area) and the guide to calculator and non-calculator papers
Exam season: Mock exam guides · 2027 prediction papers · 12-day mock revision plan · Final exam countdown · Results day: what next? · All exam-season plans
Questions about the 0580 notes
Which Cambridge IGCSE Maths syllabus do these notes follow?
Cambridge IGCSE Mathematics (0580) for exams from 2025 to 2030: the 2025–2027 syllabus, and Cambridge says the 2028–2030 syllabus has no significant changes that affect teaching. All 9 topic areas and all 72 sub-topics, Core and Extended. The statements are summarised in our own words, so check the official syllabus for the exact wording.
What is the difference between Core and Extended?
Core candidates sit Paper 1 (non-calculator) and Paper 3 (calculator), 1 hour 30 minutes and 80 marks each, for grades C to G. Extended candidates sit Paper 2 (non-calculator) and Paper 4 (calculator), 2 hours and 100 marks each, for grades A* to E. Extended includes all of the Core content.
Can I practise 0580 questions on this site?
Yes, with the IGCSE plan (free preview). 742 practice questions are written for 0580 (486 Core, 256 Extended, 485 non-calculator), with Cambridge-style mark schemes: every one of the 17 sub-topics that Edexcel 4MA1 does not teach or covers only in part, and Core questions on every sub-topic with Core content. For the 55 sub-topics that are the same mathematics in 4MA1, the 0580 practice pages add our 4MA1 Higher questions, which are Extended level.
Are the 0580 notes free?
Yes. Every note and worked example on these pages is free to read, with no sign-in.
Is this site affiliated with Cambridge?
No. IGCSE Math Revision is an independent revision site; the board name is used only to describe the syllabus covered.