Cambridge IGCSE Mathematics

Complete study resources for Mathematics (0580). Follow the 4-step method: learn with notes, recall with flashcards, practice with quizzes, and test with past papers.

0580 at a Glance

Syllabus
6 strands, 48 topics
Papers
1/2 (Non-calc), 3/4 (Calculator)
Tiers
Core (C-G) / Extended (A*-G)
Calculator
Papers 3/4 only
Exam Sessions
Feb/Mar, May/Jun, Oct/Nov
Our Notes
Coming soon
Flashcards
450+ cards
Quiz Questions
Coming soon

How to Study Mathematics

Follow our 4-step method to master IGCSE Mathematics. Each step builds on the previous one to help you understand, remember, and apply what you learn.

1

Learn — Revision Notes

Start by understanding the key concepts. Our revision notes cover every syllabus point with clear explanations, key definitions, exam tips, and common mistakes to avoid.

Mathematics: Cover Number, Algebra, Geometry, Statistics, and Probability. Extended tier includes calculus, functions, and vectors.

Coming soon for Mathematics
2

Recall — Flashcards

Test your understanding with spaced repetition flashcards. Our SM-2 algorithm shows you cards at optimal intervals, so you remember what you learn for the long term — not just for the exam.

Mathematics: Master 450+ flashcards on formulas, theorems, and problem-solving techniques for both calculator and non-calculator papers.

Study Mathematics Flashcards
3

Practice — Quiz Questions

Apply what you've learned with MCQ practice. Get instant feedback and AI-powered explanations that help you understand why each answer is correct or incorrect.

Mathematics: Build speed and accuracy with algebraic manipulation, geometry proofs, and statistical calculations.

Practice Questions
4

Test — Past Papers

Simulate real exam conditions with past papers. Practice under timed conditions, check your answers against mark schemes, and learn from examiner reports to understand what earns full marks.

Mathematics: Papers 1/2 (Non-Calculator) and Papers 3/4 (Calculator). Always show your working for method marks.

Browse All Papers Latest (2025)

IGCSE Mathematics Formula Sheet

All formulas: algebra, geometry, trigonometry, statistics — printable PDF

Get Formula Sheet

0580 Exam Structure & Assessment

Cambridge IGCSE Mathematics offers Core and Extended tiers to match different ability levels.

Assessment Tiers

Core Curriculum
Grades: C to G
Papers 1 and 3
Extended Curriculum
Grades: A* to G
Papers 2 and 4
💡

Tip: Extended tier covers additional topics including calculus basics, set notation, and more complex algebra. Show all working for method marks.

0580 Paper Components

Cambridge IGCSE Mathematics (0580) consists of 4 papers: 0580 Paper 1 (Core (Short Answer)), 0580 Paper 2 (Extended (Short Answer)), 0580 Paper 3 (Core (Structured)), 0580 Paper 4 (Extended (Structured)). Each paper assesses different skills and has specific time limits and mark allocations.

Paper 1
1
Core (Short Answer)
1 hr
56 marks
Paper 2
2
Extended (Short Answer)
1 hr 30 min
70 marks
Paper 3
3
Core (Structured)
2 hr
104 marks
Paper 4
4
Extended (Structured)
2 hr 30 min
130 marks

Study by Topic

9 units, 48 topics
1

Unit 1

8 topics
1.1 Types of number
1.2 Fractions, decimals and percentages
1.3 Operations and order of operations
1.4 Powers and roots
1.5 Ratio, proportion and rate
1.6 Approximation and estimation
1.7 Limits of accuracy
1.8 Surds
2

Unit 2

9 topics
2.1 Algebraic notation and manipulation
2.2 Equations
2.3 Inequalities
2.4 Sequences
2.5 Quadratics
2.6 Graphs of functions
2.7 Straight line graphs
2.8 Functions
2.9 Differentiation
3

Unit 3

3 topics
3.1 Coordinates
3.2 Gradient and length
3.3 Equations of lines
4

Unit 4

10 topics
4.1 Angles
4.2 Angles in polygons
4.3 Parallel lines
4.4 Triangles
4.5 Quadrilaterals
4.6 Circles
4.7 Circle theorems
4.8 Similarity and congruence
4.9 Constructions and loci
4.10 Pythagoras theorem
5

Unit 5

4 topics
5.1 Perimeter and area
5.2 Circles - circumference and area
5.3 Surface area
5.4 Volume
6

Unit 6

4 topics
6.1 Trigonometric ratios
6.2 Sine and cosine rules
6.3 3D trigonometry
6.4 Trigonometric graphs
7

Unit 7

2 topics
7.1 Transformations
7.2 Vectors
8

Unit 8

3 topics
8.1 Basic probability
8.2 Combined events
8.3 Venn diagrams
9

Unit 9

5 topics
9.1 Data collection and display
9.2 Averages and measures of spread
9.3 Cumulative frequency and box plots
9.4 Correlation and scatter diagrams
9.5 Histograms

0580 Past Papers by Year

View all papers →
Latest

2025

3

3 exam sessions

62 papers available

View papers
1 year ago

2024

3

3 exam sessions

61 papers available

View papers
2 years ago

2023

3

3 exam sessions

62 papers available

View papers
3 years ago

2022

3

3 exam sessions

62 papers available

View papers
4 years ago

2021

3

3 exam sessions

62 papers available

View papers
5 years ago

2020

3

3 exam sessions

62 papers available

View papers

0580 Most Tested Topics

Based on analysis of 0580 past papers from 2022-2024, these topics appear most frequently and carry the most marks. Focus your revision on these high-value areas.

1.5
Ratio, proportion and rate
Number
1
424 marks 17 Q's
2.4
Sequences
Algebra and graphs
2
301 marks 16 Q's
4.6
Circles
Geometry
3
256 marks 16 Q's
5.4
Volume
Mensuration
213 marks 9 Q's
2.2
Equations
Algebra and graphs
166 marks 11 Q's
4.1
Angles
Geometry
153 marks 6 Q's
5.1
Perimeter and area
Mensuration
146 marks 7 Q's
2.6
Graphs of functions
Algebra and graphs
118 marks 9 Q's
1.2
Fractions, decimals and percentages
Number
77 marks 11 Q's
5.3
Surface area
Mensuration
61 marks 3 Q's
1.6
Approximation and estimation
Number
57 marks 3 Q's
2.1
Algebraic notation and manipulation
Algebra and graphs
45 marks 7 Q's

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Frequently Asked Questions

What study resources are available for IGCSE Mathematics?

For IGCSE Mathematics (0580), we offer:

  • Flashcards — Spaced repetition cards to help you memorize key facts and concepts.
  • Practice Quizzes — MCQ questions with AI-powered explanations.
  • Past Papers — 371+ papers from 2020-2025 including question papers, mark schemes, and examiner reports.
Where do the past papers come from?

All past papers are sourced from Cambridge Assessment International Education, the official examining body for IGCSE qualifications. These materials are provided here for educational purposes only to help students prepare for their exams. Cambridge International holds the copyright to all examination materials. For official resources, please visit the Cambridge International website.

What is the difference between Core and Extended in Mathematics?

IGCSE Mathematics offers two tiers of assessment:

  • Core — Grades C to G. You take Papers 1 and 3.
  • Extended — Grades A* to G. You take Papers 2 and 4.

Extended tier covers additional topics including calculus basics, set notation, and more complex algebra. Show all working for method marks.

Which past papers should I practice first?

We recommend this approach:

  1. Start with papers from 2-3 years ago to learn the format without using the most recent papers.
  2. Save the most recent papers (2025) for timed practice closer to your exam.
  3. Always review the mark scheme after completing a paper to understand how marks are awarded.
  4. Read the examiner report to learn common mistakes other students made.
Is LumiExams affiliated with Cambridge?

No, LumiExams is an independent study platform and is not affiliated with, endorsed by, or connected to Cambridge Assessment International Education or any other examination board. We are a free resource created by students and educators to help learners prepare for their exams. All past papers remain the intellectual property of Cambridge International and are provided here solely for educational purposes.