CIE IGCSE Mathematics (0580)
Cambridge International IGCSE Mathematics (0580)
Welcome, students! This specialized academic portal provides in-depth resources for the Cambridge International GCSE Mathematics (0580) curriculum. Here, you will find exhaustive syllabus checklists, revision notes, targeted practice question banks, and official exam information—all mathematically formatted to optimize your learning and help you achieve an A*.
1. Course Introduction
Cambridge IGCSE Mathematics (0580) is a structured and comprehensive academic curriculum designed to develop mathematical skills, logical thinking, and problem-solving capabilities. The syllabus is divided into two tiers of entry: Core Tier (eligible for grades C–G) and Extended Tier (eligible for grades A*–E), offering appropriate routes of assessment for students of different abilities.
Assessment Outline
| Paper Number | Tier | Assessment Information | Marks | Weighting |
|---|---|---|---|---|
| Paper 1 (Core) | Core | Assessed through a 1 hour 30 minutes examination set and marked by Cambridge. Use of a calculator is not allowed. Weighted at 50% of the qualification, eligible for grades C to G. | 80 marks | 50% |
| Paper 3 (Core) | Core | Assessed through a 1 hour 30 minutes examination set and marked by Cambridge. A scientific calculator is required. Weighted at 50% of the qualification, eligible for grades C to G. | 80 marks | 50% |
| Paper 2 (Extended) | Extended | Assessed through a 2-hour examination set and marked by Cambridge. Use of a calculator is not allowed. Weighted at 50% of the qualification, eligible for grades A* to E. | 100 marks | 50% |
| Paper 4 (Extended) | Extended | Assessed through a 2-hour examination set and marked by Cambridge. A scientific calculator is required. Weighted at 50% of the qualification, eligible for grades A* to E. | 100 marks | 50% |
Assessment Objectives (AOs) Weightings: * AO1 (Knowledge and understanding of mathematical techniques): Core 60–70% | Extended 40–50% * AO2 (Analyse, interpret and communicate mathematically): Core 30–40% | Extended 50–60%
Syllabus Structure
The Cambridge IGCSE Mathematics syllabus content is categorized into 9 major topics, covering core concepts for all students with extended high-level parts for the Extended Tier:
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 only)
1.18 Surds (Extended only)
2.1 Introduction to algebra
2.2 Algebraic manipulation
2.3 Algebraic fractions (Extended only)
2.4 Indices II
2.5 Equations
2.6 Inequalities
2.7 Sequences
2.8 Proportion (Extended only)
2.9 Graphs in practical situations
2.10 Graphs of functions
2.11 Sketching curves
2.12 Differentiation (Extended only)
2.13 Functions (Extended only)
3.1 Coordinates
3.2 Drawing linear graphs
3.3 Gradient of linear graphs
3.4 Length and midpoint (Extended only)
3.5 Equations of linear graphs
3.6 Parallel lines
3.7 Perpendicular lines (Extended only)
4.1 Geometrical terms
4.2 Geometrical constructions
4.3 Scale drawings
4.4 Similarity
4.5 Symmetry
4.6 Angles
4.7 Circle theorems I
4.8 Circle theorems II (Extended only)
5.1 Units of measure
5.2 Area and perimeter
5.3 Circles, arcs and sectors
5.4 Surface area and volume
5.5 Compound shapes and parts of shapes
6.1 Pythagoras’ theorem
6.2 Right-angled triangles
6.3 Exact trigonometric values (Extended only)
6.4 Trigonometric functions (Extended only)
6.5 Non-right-angled triangles (Extended only)
6.6 Pythagoras’ theorem and trigonometry in 3D (Extended only)
7.1 Transformations
7.2 Vectors in two dimensions (Extended only)
7.3 Magnitude of a vector (Extended only)
7.4 Vector geometry (Extended only)
8.1 Introduction to probability
8.2 Relative and expected frequencies
8.3 Probability of combined events
8.4 Conditional probability (Extended only)
9.1 Classifying statistical data
9.2 Interpreting statistical data
9.3 Averages and measures of spread
9.4 Statistical charts and diagrams
9.5 Scatter diagrams
9.6 Cumulative frequency diagrams (Extended only)
9.7 Histograms (Extended only)
Official Academic Resources
Download official Cambridge IGCSE Mathematics resources and specification guides below:
2. Study Notes
Access specialized revision notes and targeted practice questions for each subtopic below:
| Topic | Notes | Questions |
|---|---|---|
| 1. Numbers | ||
| 1.1 Types of Numbers | Notes | Questions |
| 1.2 Reading & Ordering Numbers | Notes | Questions |
| 1.3 Operations with Numbers & Decimals | Notes | Questions |
| 1.4 Prime Factors, HCF & LCM | Notes | Questions |
| 1.5 Powers, Roots & Standard Form | Notes | Questions |
| 1.6 Introduction to Fractions | Notes | Questions |
| 1.7 Operations with Fractions | Notes | Questions |
| 1.8 Percentages | Notes | Questions |
| 1.9 Simple & Compound Interest | Notes | Questions |
| 1.10 Fractions, Decimals & Percentages | Notes | Questions |
| 1.11 Ratio & Proportion | Notes | Questions |
| 1.12 Money Calculations | Notes | Questions |
| 1.13 Time, Currency & Conversions | Notes | Questions |
| 1.14 Compound Measures | Notes | Questions |
| 1.15 Rounding, Estimation & Bounds | Notes | Questions |
| 1.16 Using a Calculator | Notes | Questions |
| 2. Algebra and Sequences | ||
| 2.1 Introduction to Algebra | Notes | Questions |
| 2.2 Algebraic Roots & Indices | Notes | Questions |
| 2.3 Expanding & Factorising Brackets | Notes | Questions |
| 2.4 Linear Equations | Notes | Questions |
| 2.5 Inequalities | Notes | Questions |
| 2.6 Rearranging Formulas | Notes | Questions |
| 2.7 Simultaneous Equations | Notes | Questions |
| 2.8 Sequences | Notes | Questions |
| 3. Coordinate Geometry and Graphs | ||
| 3.1 Linear Graphs | Notes | Questions |
| 3.2 Further Graphs | Notes | Questions |
| 3.3 Real-Life Graphs | Notes | Questions |
| 4. Geometry | ||
| 4.1 Symmetry & Shapes | Notes | Questions |
| 4.2 Basic Angle Properties | Notes | Questions |
| 4.3 Angles in Polygons & Parallel Lines | Notes | Questions |
| 4.4 Bearing Constructinos and scale drawings | Notes | Questions |
| 4.5 Circle Theorems | Notes | Questions |
| 5. Length, Area and Volume | ||
| 5.1 Area & Perimeter | Notes | Questions |
| 5.2 C ircles, Arcs & Sectors | Notes | Questions |
| 5.3 Volume & Surface Area | Notes | Questions |
| 5.4 Congruence & Similarity | Notes | Questions |
| 6. Pythagoras and Trigonometry | ||
| 6.1 Pythagoras | Notes | Questions |
| 6.2 Trigonometry | Notes | Questions |
| 7. Vectors and Transformations | ||
| 7.1 Transformations | Notes | Questions |
| 8. Probability | ||
| 8.1 Basic Probability | Notes | Questions |
| 8.2 Set Notation & Probability Diagrams | Notes | Questions |
| 9. Statistics | ||
| 9.1 Averages & Range | Notes | Questions |
| 9.2 Statistical Diagrams | Notes | Questions |
| 9.3 Scatter Graphs & Correlation | Notes | Questions |
| Topic | Notes | Paper 2 Questions | Paper 4 Questions |
|---|---|---|---|
| 1. Numbers | |||
| 1.1 Number Toolkit | Notes | P2 Questions | P4 Questions |
| 1.2 Set Notation & Venn Diagrams | Notes | P2 Questions | P4 Questions |
| 1.3 Prime Factors HCF & LCM | Notes | P2 Questions | P4 Questions |
| 1.4 Powers, Roots & Standard Form | Notes | P2 Questions | P4 Questions |
| 1.5 Fractions Toolkit | Notes | P2 Questions | — |
| 1.6 Percentages Toolkit | Notes | P2 Questions | P4 Questions |
| 1.7 Simple & Compound Interest, Growth & Decay | Notes | P2 Questions | — |
| 1.8 Surds | Notes | P2 Questions | — |
| 1.9 Working with FDP | Notes | P2 Questions | P4 Questions |
| 1.10 Working with Ratios | Notes | P2 Questions | P4 Questions |
| 1.11 Compound Measures Speed Density Pressure | Notes | P2 Questions | P4 Questions |
| 1.12 Time currency and conversions | Notes | P2 Questions | P4 Questions |
| 1.13 Rounding, Estimation & Bounds | Notes | P2 Questions | P4 Questions |
| 1.14 Using a Calculator | Notes | P2 Questions | — |
| 2. Algebra and Sequences | |||
| 2.1 Algebra Toolkit | Notes | P2 Questions | P4 Questions |
| 2.2 Algebraic Roots & Indices | Notes | P2 Questions | P4 Questions |
| 2.3 Expanding & Factorising Brackets | Notes | P2 Questions | P4 Questions |
| 2.4 Linear Equations & Inequalities | Notes | P2 Questions | P4 Questions |
| 2.5 Quadratic Equations | Notes | P2 Questions | P4 Questions |
| 2.6 Rearranging Formulas | Notes | P2 Questions | P4 Questions |
| 2.7 Simultaneous Equations | Notes | P2 Questions | P4 Questions |
| 2.8 Algebraic Fractions | Notes | P2 Questions | P4 Questions |
| 2.9 Forming & Solving Equations | Notes | P2 Questions | P4 Questions |
| 2.10 Functions | Notes | P2 Questions | P4 Questions |
| 2.11 Sequences | Notes | P2 Questions | P4 Questions |
| 2.12 Proportion | Notes | P2 Questions | P4 Questions |
| 3. Coordinate Geometry and Graphs | |||
| 3.1 Coordinate Geometry | Notes | P2 Questions | P4 Questions |
| 3.2 Linear Graphs | Notes | P2 Questions | P4 Questions |
| 3.3 Quadratic Graphs | Notes | P2 Questions | — |
| 3.4 Further Graphs & Tangents | Notes | P2 Questions | P4 Questions |
| 3.5 Solving & Graphing Inequalities | Notes | P2 Questions | — |
| 3.6 Real-Life Graphs | Notes | P2 Questions | P4 Questions |
| 3.7 Differentiation | Notes | P2 Questions | P4 Questions |
| 4. Geometry | |||
| 4.1 Geometry Toolkit | Notes | P2 Questions | P4 Questions |
| 4.2 Angles in Polygons & Parallel Lines | Notes | P2 Questions | P4 Questions |
| 4.3 Bearings Constructions & Scale Drawings | Notes | P2 Questions | P4 Questions |
| 4.4 Circle Theorems | Notes | P2 Questions | P4 Questions |
| 5. Length, Area and Volume | |||
| 5.1 Area & Perimeter | Notes | P2 Questions | P4 Questions |
| 5.2 Circles Arcs & Sectors | Notes | P2 Questions | P4 Questions |
| 5.3 Volume & Surface Area | Notes | P2 Questions | P4 Questions |
| 5.4 Congruence & Similarity | Notes | P2 Questions | P4 Questions |
| 6. Pythagoras and Trigonometry | |||
| 6.1 Right-Angled Triangles | Notes | P2 Questions | P4 Questions |
| 6.2 Sine, Cosine Rule & Area of Triangles | Notes | P2 Questions | — |
| 6.3 3D Pythagoras & Trigonometry | Notes | P2 Questions | — |
| 6.4 Trigonometric Graphs & Equations | Notes | P2 Questions | — |
| 7. Vectors and Transformations | |||
| 7.1 Vectors | Notes | P2 Questions | P4 Questions |
| 7.2 Transformations | Notes | P2 Questions | P4 Questions |
| 8. Probability | |||
| 8.1 Basic probability | Notes | P2 Questions | P4 Questions |
| 8.2 Probability Diagrams | Notes | P2 Questions | P4 Questions |
| 8.3 Conditional Probability | Notes | P2 Questions | P4 Questions |
| 9. Statistics | |||
| 9.1 Averages & Range | Notes | P2 Questions | P4 Questions |
| 9.2 Statistical Diagrams | Notes | P2 Questions | — |
| 9.3 Histograms | Notes | P2 Questions | — |
| 9.4 Cumulative Frequency | Notes | P2 Questions | P4 Questions |
| 9.5 Scatter Graphs & Correlation | Notes | P2 Questions | — |