Cambridge IGCSE Mathematics 0580 · exams in 2025, 2026 and 2027
The 0580 syllabus, topic by topic
The current Cambridge IGCSE Mathematics 0580 syllabus is for exams in 2025, 2026 and 2027. It is examined in 4 papers and lists 72 numbered topics. Core: Papers 1 and 3 — Core content only, grades C to G. Extended: Papers 2 and 4 — Extended content, grades A* to E.
Cambridge publishes the syllabus, not how often each topic is examined. Beside the topics below is what Quanta measured on 42 real 0580 papers (Papers 2 and 4): the share of the marks each topic carried. The biggest is Equations, at 7.7% of those papers.
Source: Cambridge IGCSE Mathematics 0580 syllabus, 2025–2027 (PDF, version 3, published May 2024).
Updated 5 October 2026
The 0580 papers
| Paper | Time | Marks | Weighting |
|---|---|---|---|
| Paper 1: Non-calculator (Core)Structured and unstructured questions, no calculator1 hour 30 minutes · 50% | 1 hour 30 minutes | 80 | 50% |
| Paper 2: Non-calculator (Extended)Structured and unstructured questions, no calculator2 hours · 50% | 2 hours | 100 | 50% |
| Paper 3: Calculator (Core)Structured and unstructured questions, scientific calculator required1 hour 30 minutes · 50% | 1 hour 30 minutes | 80 | 50% |
| Paper 4: Calculator (Extended)Structured and unstructured questions, scientific calculator required2 hours · 50% | 2 hours | 100 | 50% |
- Core: Papers 1 and 3 — Core content only, grades C to G.
- Extended: Papers 2 and 4 — Extended content, grades A* to E.
Core candidates can achieve grades C to G; Extended candidates A* to E. Exams run in the June and November series; schools in India can also enter in March. When each series’ papers come out →
Subject content (Extended, with the topics Core shares marked)
“In past papers” is each topic’s share of all the marks on 42 Papers 2 and 4 sittings from 2023 to 2025, and how many of those sittings it appeared on. Each question part is counted once, under the topic it mainly tests.
1 Number
| # | Topic | In past papers |
|---|---|---|
| E1.1 | Types of number | 1.3% · 54 mkon 17/42 |
| E1.2 | Sets | 1.4% · 60 mkon 20/42 |
| E1.3 | Powers and roots | 0.1% · 5 mkon 4/42 |
| E1.4 | Fractions, decimals and percentagesPercentages, interest and reverse percentages guide | 0.9% · 36 mkon 13/42 |
| E1.5 | Ordering | 0.1% · 4 mkon 2/42 |
| E1.6 | The four operations | 1.4% · 57 mkon 17/42 |
| E1.7 | Indices I | 0.6% · 25 mkon 9/42 |
| E1.8 | Standard form | 0.8% · 32 mkon 12/42 |
| E1.9 | Estimation | 0.2% · 10 mkon 5/42 |
| E1.10 | Limits of accuracy | 1.5% · 62 mkon 20/42 |
| E1.11 | Ratio and proportion | 1.2% · 49 mkon 17/42 |
| E1.12 | Rates | 1.5% · 62 mkon 12/42 |
| E1.13 | PercentagesPercentages, interest and reverse percentages guide | 4.2% · 175 mkon 29/42 |
| E1.14 | Using a calculator | 0.1% · 6 mkon 4/42 |
| E1.15 | Time | 0.4% · 16 mkon 10/42 |
| E1.16 | Money | 0.6% · 25 mkon 9/42 |
| E1.17 | Exponential growth and decayExtended only | 0.8% · 34 mkon 11/42 |
| E1.18 | SurdsExtended only | 0.8% · 32 mkon 7/42 |
2 Algebra and graphs
| # | Topic | In past papers |
|---|---|---|
| E2.1 | Introduction to algebra | 0.4% · 16 mkon 8/42 |
| E2.2 | Algebraic manipulation | 3.8% · 159 mkon 34/42 |
| E2.3 | Algebraic fractionsExtended only | 2.5% · 104 mkon 24/42 |
| E2.4 | Indices II | 1.7% · 71 mkon 25/42 |
| E2.5 | EquationsQuadratic equations guide | 7.7% · 324 mkon 40/42 |
| E2.6 | Inequalities | 1.8% · 77 mkon 14/42 |
| E2.7 | SequencesSequences and the nth term guide | 2.7% · 113 mkon 21/42 |
| E2.8 | ProportionExtended only | 1% · 41 mkon 14/42 |
| E2.9 | Graphs in practical situations | 0.6% · 26 mkon 8/42 |
| E2.10 | Graphs of functions | 2.4% · 102 mkon 13/42 |
| E2.11 | Sketching curves | 0.8% · 33 mkon 10/42 |
| E2.12 | DifferentiationExtended only | 3.5% · 148 mkon 23/42 |
| E2.13 | FunctionsExtended only | 3.6% · 153 mkon 24/42 |
3 Coordinate geometry
| # | Topic | In past papers |
|---|---|---|
| E3.1 | Coordinates | 0.1% · 5 mkon 2/42 |
| E3.2 | Drawing linear graphs | 0.1% · 4 mkon 2/42 |
| E3.3 | Gradient of linear graphs | 0.4% · 16 mkon 7/42 |
| E3.4 | Length and midpointExtended only | 1% · 41 mkon 11/42 |
| E3.5 | Equations of linear graphs | 0.5% · 21 mkon 8/42 |
| E3.6 | Parallel lines | 0.1% · 3 mkon 1/42 |
| E3.7 | Perpendicular linesExtended only | 1.4% · 58 mkon 15/42 |
4 Geometry
| # | Topic | In past papers |
|---|---|---|
| E4.1 | Geometrical terms | 0.1% · 5 mkon 4/42 |
| E4.2 | Geometrical constructions | 0.3% · 14 mkon 5/42 |
| E4.3 | Scale drawings | 1.1% · 46 mkon 16/42 |
| E4.4 | Similarity | 1.8% · 75 mkon 19/42 |
| E4.5 | Symmetry | 0.3% · 13 mkon 8/42 |
| E4.6 | Angles | 2.3% · 98 mkon 24/42 |
| E4.7 | Circle theorems ICircle theorems guide | 1.9% · 78 mkon 22/42 |
| E4.8 | Circle theorems IIExtended onlyCircle theorems guide | 0.8% · 34 mkon 9/42 |
5 Mensuration
| # | Topic | In past papers |
|---|---|---|
| E5.1 | Units of measure | 0.3% · 11 mkon 6/42 |
| E5.2 | Area and perimeter | 1% · 42 mkon 14/42 |
| E5.3 | Circles, arcs and sectors | 2.6% · 108 mkon 25/42 |
| E5.4 | Surface area and volumeSurface area and volume guide | 4.2% · 177 mkon 27/42 |
| E5.5 | Compound shapes and parts of shapes | 0.6% · 25 mkon 4/42 |
6 Trigonometry
| # | Topic | In past papers |
|---|---|---|
| E6.1 | Pythagoras’ theorem | 0.3% · 13 mkon 4/42 |
| E6.2 | Right-angled triangles | 2% · 83 mkon 22/42 |
| E6.3 | Exact trigonometric valuesExtended only | 0.2% · 10 mkon 4/42 |
| E6.4 | Trigonometric functionsExtended only | 1.5% · 63 mkon 17/42 |
| E6.5 | Non-right-angled trianglesExtended onlySine and cosine rules guide | 4.6% · 192 mkon 27/42 |
| E6.6 | Pythagoras’ theorem and trigonometryExtended only | 1.9% · 79 mkon 17/42 |
7 Transformations and vectors
| # | Topic | In past papers |
|---|---|---|
| E7.1 | Transformations | 3.2% · 134 mkon 21/42 |
| E7.2 | Vectors in two dimensionsExtended onlyVectors guide | 0.8% · 35 mkon 18/42 |
| E7.3 | Magnitude of a vectorExtended onlyVectors guide | 0.7% · 31 mkon 13/42 |
| E7.4 | Vector geometryExtended onlyVectors guide | 2% · 82 mkon 20/42 |
8 Probability
| # | Topic | In past papers |
|---|---|---|
| E8.1 | Introduction to probabilityProbability and tree diagrams guide | 1% · 40 mkon 22/42 |
| E8.2 | Relative and expected frequencies | 0.2% · 9 mkon 8/42 |
| E8.3 | Probability of combined eventsProbability and tree diagrams guide | 2.5% · 104 mkon 25/42 |
| E8.4 | Conditional probabilityExtended onlyProbability and tree diagrams guide | 0.7% · 29 mkon 9/42 |
9 Statistics
| # | Topic | In past papers |
|---|---|---|
| E9.1 | Classifying statistical data | 0% · 1 mkon 1/42 |
| E9.2 | Interpreting statistical data | 0.1% · 4 mkon 3/42 |
| E9.3 | Averages and measures of spreadAverages and spread guide | 3.8% · 158 mkon 31/42 |
| E9.4 | Statistical charts and diagrams | 0.7% · 30 mkon 9/42 |
| E9.5 | Scatter diagrams | 0.4% · 18 mkon 6/42 |
| E9.6 | Cumulative frequency diagramsExtended onlyHistograms guide | 1.1% · 48 mkon 8/42 |
| E9.7 | HistogramsExtended onlyHistograms guide | 1.2% · 52 mkon 19/42 |
What changed in this syllabus
This is version 3, published May 2024, for exams in 2025, 2026 and 2027.
- This syllabus started with the 2025 exams. Paper 1 (Core) and Paper 2 (Extended) became non-calculator papers, and every paper's marks, length and weighting changed: Core papers are now 80 marks in 1 hour 30 minutes, Extended papers 100 marks in 2 hours, each paper worth 50%.
- Removed from Extended: proper subsets, linear programming, congruence criteria, box-and-whisker plots, and data collection (no longer examined).
- Added to Extended: recall of certain squares, cubes and roots, surds, domain and range, exact trigonometric values, and more powers in graphs of the form axⁿ.
- Core lost adding vectors and multiplying them by a scalar, and gained inequalities and the same recall of squares, cubes and roots.
- Every paper prints the list of formulas on page 2.
- Version 2 (February 2024) clarified prisms, the graphs expected in E2.11, and the word “random” in probability; version 3 (May 2024) only adjusted layout.
Revising for 0580
- 0580 grade boundaries — the raw mark every paper needed for each grade, all 12 series since 2022.
- Most common topics in 0580 — every topic ranked by what it carried across 42 real papers.
- 0580 topical past papers — every question filed under the syllabus topic it tests, with its paper and marks.
- All 42 mapped 0580 past papers — each with its code, filename and its own topic breakdown.
- How Cambridge paper codes work — what 0580/42/O/N/25 and 9709_s25_qp_12 each mean.
- How to revise from mark schemes and how to find your weak topics.
- Source: Cambridge IGCSE Mathematics 0580 syllabus, 2025–2027 (PDF, Cambridge International).
Practise Mathematics against real mark schemes
Quanta has real Cambridge IGCSE Maths 0580 past-paper questions, broken into skill checkpoints, marked criterion by criterion the way examiners mark — and it tracks which skills you’re missing. Free for individual students.
Start practising freeCommon questions
What topics are in IGCSE Maths 0580?
72 numbered topics in 9 sections: Number, Algebra and graphs, Coordinate geometry, Geometry, Mensuration, Trigonometry, Transformations and vectors, Probability, Statistics. The full list is above in Cambridge’s numbering, with the share of the marks each one has carried on the papers Quanta has mapped.
How many papers are there in 0580?
4: Paper 1 (Non-calculator (Core), 80 marks), Paper 2 (Non-calculator (Extended), 100 marks), Paper 3 (Calculator (Core), 80 marks), Paper 4 (Calculator (Extended), 100 marks). Core: Papers 1 and 3 — Core content only, grades C to G. Extended: Papers 2 and 4 — Extended content, grades A* to E.
Which 0580 topic comes up most?
On the 42 Papers 2 and 4 papers Quanta has mapped, Equations (E2.5) carried the most: 7.7% of the marks, appearing on 40 of them. The full ranking →
Is the 0580 syllabus changing?
This syllabus covers exams in 2025, 2026 and 2027. This syllabus started with the 2025 exams. Paper 1 (Core) and Paper 2 (Extended) became non-calculator papers, and every paper's marks, length and weighting changed: Core papers are now 80 marks in 1 hour 30 minutes, Extended papers 100 marks in 2 hours, each paper worth 50%. For later years, check the syllabus page for 0580 on Cambridge International’s website — Cambridge publishes the next syllabus well before it is first examined.