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IGCSE Mathematics Syllabus 2026 (Cambridge 0580) – Complete Guide
TUTORZONE SUBJECT GUIDE · IGCSE
IGCSE Mathematics (Cambridge 0580) is the world’s most popular international qualification for 14 to 16 year olds — from number and algebra to probability and statistics. This complete guide covers the 2026 syllabus, the new four-paper exam structure, and the study habits that earn top grades.
Direct Answer：What does IGCSE Mathematics cover?
IGCSE Mathematics (0580) covers nine topics: number; algebra and graphs; coordinate geometry; geometry; mensuration; trigonometry; transformations and vectors; probability; and statistics — preparing students for Cambridge AS & A-Level Mathematics, IB Mathematics, and university courses in engineering, economics, computer science and the sciences.
What Is IGCSE Mathematics?
IGCSE Mathematics (International General Certificate of Secondary Education – Mathematics, code 0580) is a core subject offered by Cambridge Assessment International Education (CAIE), designed for students aged 14 to 16. It is the most widely taken IGCSE subject in the world — Cambridge IGCSE is taught by over 4,500 schools in more than 140 countries, and nearly a million Cambridge students sit examinations every year. The course builds competency, confidence and fluency in mathematical techniques, and develops the reasoning, problem-solving and analytical skills that universities and employers value.
It prepares students for Cambridge AS & A-Level Mathematics, IB Mathematics, and careers in engineering, finance, computer science, economics and the sciences.
An identical 9–1 version of the qualification, code 0980, covers the same content and papers; only the grade scale differs (9–1 instead of A*–G). Examinations are available in the June and November series.
Syllabus Topics (Cambridge 0580, 2025–2027)
The IGCSE Mathematics syllabus for examination in 2025, 2026 and 2027 is organised around nine topics. They are grouped here into six themes:
1. Number
- Types of number — natural numbers, integers, primes, squares, cubes, rational and irrational numbers
- Sets and Venn diagrams — set notation, unions, intersections and complements
- Powers and roots, indices, standard form and estimation
- Fractions, decimals and percentages, ordering and the four operations
- Limits of accuracy (upper and lower bounds), ratio and proportion, rates and personal and household finance
2. Algebra and Graphs
- Introduction to algebra and algebraic manipulation — brackets, factorisation, algebraic fractions
- Functions and graphs — linear functions, quadratic functions, graphs in practical situations
- Equations and inequalities, sequences, and graphs of non-linear functions
- Extended only — surds (simplifying and rationalising), domain and range of functions, and reciprocal and exponential graphs
3. Coordinate Geometry
- Coordinates and straight-line graphs — gradient, midpoint and length of a line segment
- Drawing and interpreting straight-line graphs from their equations
4. Shape and Space (Geometry, Mensuration, Trigonometry)
- Geometry — geometrical terms, constructions, angles, similarity and congruence
- Mensuration — perimeter, area, volume and surface area, including prisms
- Trigonometry — Pythagoras’ theorem, bearings, and sine, cosine and tangent
- Extended only — exact trigonometric values
5. Transformations and Vectors
- Transformations — reflection, rotation, translation and enlargement
- Vectors — describing and combining vectors; Extended also covers multiplying a vector by a scalar and adding and subtracting vectors
6. Probability and Statistics
- Probability — calculating probabilities, using Venn diagrams to solve probability problems
- Statistics — bar charts, pie charts, histograms, mean, median and mode, scatter graphs and correlation
- Extended only — cumulative frequency graphs and conditional probability
Candidates study either the Core subject content (aiming for grades C to G) or the Extended subject content, which contains the Core content plus additional topics and is aimed at grades A* to C.
Exam Format & Paper Structure
Students sit either the Core or the Extended tier, taking two papers each. Since the 2025 syllabus change, both papers in a tier carry equal marks and weighting, and one paper in each tier is now a non-calculator paper.
Core Level (grades C–G)
- Paper 1: Non-calculator — structured and unstructured questions (1 hour 30 minutes)
- Paper 3: Calculator — a scientific calculator is required (1 hour 30 minutes)
Extended Level (grades A*–E)
- Paper 2: Non-calculator — structured and unstructured questions (2 hours)
- Paper 4: Calculator — a scientific calculator is required (2 hours)
| Paper | Tier | Type | Duration | Marks | Weighting |
|---|---|---|---|---|---|
| Paper 1 | Core | Non-calculator — structured and unstructured questions | 1 hr 30 min | 80 | 50% |
| Paper 2 | Extended | Non-calculator — structured and unstructured questions | 2 hr | 100 | 50% |
| Paper 3 | Core | Calculator — structured and unstructured questions | 1 hr 30 min | 80 | 50% |
| Paper 4 | Extended | Calculator — structured and unstructured questions | 2 hr | 100 | 50% |
A List of Formulas is printed on page 2 of every paper, but not every formula is given — the syllabus indicates which formulas candidates must know by heart. Assessment objectives:
Knowledge and understanding of mathematical techniques
Recall and apply mathematical techniques, perform calculations with and without a calculator, and use notation, graphs and geometrical instruments correctly. Weighting: 60–70% of Core, 40–50% of Extended.
Analyse, interpret and communicate mathematically
Analyse problems, identify strategies, make connections between areas of mathematics, and communicate methods and results clearly. Weighting: 30–40% of Core, 50–60% of Extended.
Why Study IGCSE Mathematics?
Globally Recognised
The world’s most popular international qualification for 14 to 16 year olds, taught by over 4,500 schools in more than 140 countries and benchmarked as comparable to the UK GCSE.
Gateway to A-Level and STEM
Candidates who achieve grades A* to C are well prepared for Cambridge AS & A-Level Mathematics, IB Mathematics, and university courses in engineering, economics, computer science and the sciences.
Skills That Last
Builds fluency with number, logical reasoning and problem-solving — skills that transfer to any academic subject and any career.
Study Tips & Preparation Strategies
- Past papers by topic——Practise them weekly by topic to understand question patterns, command words and mark-scheme language.
- Practise without a calculator——Papers 1 and 2 are now non-calculator, so build mental arithmetic, times tables and estimation skills early in the course.
- Know your formula list——Learn which formulas are given on page 2 of the paper and which must be memorised, such as the quadratic formula and the volume formulas for 3D shapes.
- Show your working——Method marks are awarded even when the final answer is wrong; a clear, logical layout earns credit at every step.
- Error logbook——Keep a logbook of recurring mistakes — sign errors, unit errors, misread questions — and review it before every mock and the final exam.
Who Should Take IGCSE Mathematics?
- Students planning to take Cambridge AS & A-Level Mathematics, IB Mathematics, or sciences, economics, engineering and computer science
- Learners who want a globally recognised mathematics qualification at ages 14 to 16
- Students targeting grades A* to E who are ready for the Extended tier’s extra topics, such as surds and functions
- Those who need a solid foundation in mathematics to support other IGCSE subjects, such as Physics, Economics and Computer Science
Recommended Resources
- Cambridge IGCSE Mathematics——the official Cambridge-endorsed coursebook for Core and Extended (0580), updated for the current syllabus.
- Physics & Maths Tutor——free IGCSE Mathematics past papers by topic.
- CGP IGCSE Mathematics Revision Guide——a concise revision companion with exam-style questions.
- YouTube channels——like The Ginger Mathematician and Cognito for clear topic walkthroughs and worked solutions.
- Sibling guides——explore our What is IGCSE International Mathematics? and IGCSE Physics Complete Guide for the wider picture.
Expert Advice: How to Score an A* or 9
Top-scoring students do not just practise questions — they mark their own work against the mark scheme and learn exactly where marks are won and lost.
- Mark your own past papers——Use official mark schemes to see how method marks and accuracy marks are awarded; most students lose marks on layout, not mathematics.
- Master the non-calculator papers——Practise arithmetic, indices and standard form by hand so that Papers 1 and 2 feel routine rather than stressful.
- Timed practice——Practise under timed conditions, then study the examiner reports to learn where top candidates gain and lose marks.
Frequently Asked Questions (FAQ)
Q: What is the difference between Core and Extended IGCSE Mathematics?
Core covers the fundamental syllabus content and leads to grades C to G, while Extended adds more advanced content — such as surds, functions and conditional probability — and opens up grades A* to E. Extended is the recommended route for students aiming for top grades or planning to continue to A-Level or IB Mathematics.
Q: How many papers do IGCSE Mathematics students take?
All students take two papers. Core candidates take Paper 1 (non-calculator) and Paper 3 (calculator), while Extended candidates take Paper 2 (non-calculator) and Paper 4 (calculator). Each paper is worth 50% of the final grade.
Q: What changed in the 2025–2027 IGCSE Mathematics syllabus?
The biggest change is a new non-calculator paper at each tier, and papers rebalanced so both papers in a tier carry equal marks and 50% weighting (previously the theory papers were worth 65%). Content changes added surds, functions domain and range, and exact trigonometric values, while linear programming, box-and-whisker plots and congruent triangles were removed. The syllabus is version 3, published May 2024.
Q: What is the difference between IGCSE Mathematics 0580 and 0980?
The two qualifications cover exactly the same content and papers — only the grade scale differs. 0580 is graded A* to G, while 0980 is graded 9 to 1. Schools choose which version to enter, depending on the grading scale they prefer.
Further Resources & Next Steps
- Official Resources——Cambridge Assessment International Education (CAIE) publishes the official 2025–2027 syllabus, specimen papers, mark schemes and past papers for IGCSE Mathematics 0580.
- Further Reading——the Cambridge-endorsed IGCSE Mathematics Core & Extended coursebook and the CGP IGCSE Mathematics Revision Guide are trusted study companions.
- Parent Tips——Encourage short, regular practice sessions and ask your child to explain a method back to you; teaching a concept is the fastest way to master it.
Note: The information above is for reference only. Please consult professional education institutions for details.
This article was initially drafted and organised with AI. Editor / Professor Chan Kwok-wai; Managing Editor / Kong Yee-leung
Direct Answer：What topics are in the IGCSE Mathematics syllabus?
The IGCSE Mathematics syllabus (0580) spans nine topics across six themes: number; algebra and graphs; coordinate geometry; shape and space (geometry, mensuration and trigonometry); transformations and vectors; and probability and statistics.
Direct Answer：Is IGCSE Mathematics hard?
IGCSE Mathematics is very achievable with consistent practice. The biggest adjustment for most students is the new non-calculator paper, so build mental arithmetic early — students who practise past papers by topic and learn the formula list find the exam manageable.
