- 14 Jul, 2026
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What is the complete syllabus of IGCSE Maths?
Mastering an international math curriculum can feel like a massive challenge, especially when trying to balance multiple subjects. If you want to clear board exams with top grades, understanding the exact topics tested is your very first step. The IGCSE Maths course structure gives you a clear academic roadmap, taking you from basic numbers to advanced problem-solving techniques. By tracking this official layout, you ensure your study hours are spent only on relevant topics. Let EDU-RADIATION TUTORIAS guide you through the complete breakdown, essential topics, and a practical study plan to secure your A* this year.
Core vs. Extended Pathways: Choosing Your Focus
The international evolution is divided into two separate pathways. Choosing the correct tier that matches your academic goals is important for effective preparation.
| Criteria | Core Pathway | Extended Pathway |
| Target Grades | Accessible grades range from C to G. | Highest accessible grades reach A*to C. |
| Mathematical Demand | Basic calculations and simple formula applications. | Complex multi-step calculations, algebraic fractions, and advanced geometry. |
| Exam Papers | Paper 1 (Short-answer) and Paper 3 (Structured questions). | Paper 2 (Short-answer) and Paper 4 (Structured questions). |
Detailed Topic-by-Topic IGCSE Math Course Structure
To organize your revision successfully, you must structure your calendar around the 9 official modules defined by the board. Many students find that working with an expert IGCSE maths tutor online helps them master these areas deeply. Here is the complete breakdown of the Core and Extended topics that fit into the current course structure:
1. Number
Numbers are a fundamental topic in IGCSE mathematics, as they form the core of numerical literacy. These topics cover essential skills and include more advanced concepts used in other areas of the course.
Core Topics:
- Types of Numbers and Basic Number Skills
- Operations with Numbers & Decimals
- Prime Factors, HCF & LCM
- Powers, Roots & Standard Form
- Fractions and Operations with Fractions
- Percentages
- Simple & Compound Interest
- Fractions, Decimals & Percentages
- Ratio & Proportion
- Money Calculations
- Time, Currency & Conversions
- Compound Measures (Speed, Density, Pressure)
- Rounding, Estimation & Bounds
Extended Topics (Includes all Core topics plus):
- Set Notation & Venn Diagrams
- Growth & Decay
- Surds
2. Algebra & Sequences
Algebra provides the foundation for problem-solving and mathematical reasoning. It helps students develop essential skills in using expressions, solving equations, and understanding relationships between variables.
Core Topics:
- Basic Algebra (simplifying and substitution)
- Algebraic Roots & Indices
- Expanding & Factorising Brackets
- Linear Equations
- Forming & Solving Equations
- Inequalities
- Rearranging Formulas
- Simultaneous Equations
- Sequences
Extended Topics (Includes all Core topics plus):
- Quadratic Equations
- Algebraic Fractions
- Functions
- Direct & Inverse Proportion
3. Coordinate Geometry & Graphs
Both of these areas provide a visual representation of mathematical relationships, helping students develop skills in plotting points, interpreting graphs, and understanding the relationships between equations and their graphical forms.
Core Topics:
- Gradients and Equations of Lines
- Parallel Lines
- Types of Graphs
- Solving Equations from Graphs
- Conversion Graphs
- Distance-Time and Speed-Time Graphs
Extended Topics (Includes all Core topics plus):
- Midpoints and Lengths of Lines
- Perpendicular Lines
- Quadratic Graphs
- Gradients of Tangents
- Solving & Graphing Inequalities
- Rates of Change Graphs
- Differentiation
4. Geometry
This topic covers shapes, angles, and constructions. It develops spatial reasoning through the study of symmetry, polygons, parallel lines, and circle theorems.
Core Topics:
- Symmetry & Shapes
- Basic Angle Properties
- Angles in Polygons & Parallel Lines
- Bearings, Constructions & Scale Drawings
- Circle Theorems
Extended Topics:
- Includes all Core topics, but some areas are examined in greater depth (for example, there are more circle theorems required).
5. Lengths, Areas & Volumes
This section focuses on measurement and spatial reasoning. Mastering these properties is crucial for solving real-world geometric problems within the IGCSE Maths course structure.
Core & Extended Topics:
- Area & Perimeter
- Circles, Arcs & Sectors
- Volume & Surface Area
- Congruence & Similarity
6. Pythagoras & Trigonometry
These concepts are essential for solving problems involving right-angled triangles, 2D shapes, and angles. Learning these formulas with a dedicated IGCSE maths tutor online will ensure you can apply them under exam pressure.
Core Topics:
- Pythagoras’ Theorem
- Trigonometric Ratios
Extended Topics (Includes all Core topics plus):
- Angles of Elevation & Depression
- Exact Trig Values
- Sine Rule
- Cosine Rule
- Area of Triangles
- 3D Pythagoras & Trigonometry
- Trigonometric Graphs & Equations
7. Vectors & Transformations
This module explores the movement, tracking, and positioning of points and shapes on a coordinate grid.
Core Topics:
- Translations
- Reflections
- Rotations
- Enlargements
Extended Topics (Includes all Core topics plus):
- Vector Basics
- Magnitude of a Vector
- Position & Displacement Vectors
- Finding Vector Paths & Problem Solving
8. Probability
Probability explores the likelihood of events occurring. It helps in making predictions and informed choices based on raw data.
Core Topics:
- Basic Probability & Sample Space Diagrams
- Relative & Expected Frequency
- Two-Way Tables
- Set Notation & Venn Diagrams
- Tree Diagrams
- Combined Probability
Extended Topics (Includes all Core topics plus):
- Conditional Probability
9. Statistics
Statistics involves collecting, analysing, and interpreting data to help identify clear patterns, trends, and correlations.
Core Topics:
- Mean, Median, Mode
- Range
- Averages from Tables
- Comparing Data Sets
- Types of Data
- Tally Charts & Frequency Tables
- Stem & Leaf Diagrams
- Bar Charts & Pictograms
- Pie Charts
- Scatter Graphs & Correlation
- Lines of Best Fit
Extended Topics (Includes all Core topics plus):
- Averages from Grouped Data
- Interquartile Range
- Histograms
- Cumulative Frequency Diagrams
Actionable Study Plan to Secure an A*
Preparing for your final international math exam requires a structured approach. Follow these tactical steps to streamline your daily revision.
Step 1: Align Your Notes with the Official Formula Criteria
Do not rely blindly on generic internet resources sheets. Ensure you know which formulas are given on the exam paper and which ones you must memorize completely, such as the quadratic formula or trigonometry laws.
Step 2: Show Full Working Out For Every Problem
Examiners award significant marks for the correct mathematical process. Even if your final calculation contains a minor arithmetic error, showing a clear, sequential algebraic method ensures you secure important partial marks.
Step 3: Master Time Management with Past Papers
Math exams require speed alongside accuracy. Set a timer and practice past papers under strict exam conditions to ensure you can complete long-form structured questions without running out of time.
Simplifying the Syllabus with EDU-RADIATION TUTORIALS
Preparing for international board exams independently can feel overwhelming. EDU-RADIATION TUTORIALS supports students globally by providing premium learning programs customized to individual learning speeds. Our expert faculty simplifies difficult topics like differentiation and vectors into easy-to-understand modules.
Through live one-on-one interaction, comprehensive question breakdowns, and regular testing with current specimen papers, we ensure that students develop the exact problem-solving skills required by examiners. If you want the full layout with the help of a certified IGCSE maths tutor online and fully understand every single part of the maths course structure, contact EDU-RADIATION TUTORIALS today to book a trial session and start your journey toward academic excellence with absolute confidence.
Frequently Asked Questions
- What is the main difference between Core and Extended Maths?
The Core pathway limits your maximum grade to a C and covers basic math concepts. The Extended pathway allows you to achieve an A* by testing advanced algebraic and geometric skills.
- Are calculators allowed in all IGCSE Maths exam papers?
No, the exam format depends on your path. Both Core and Extended routes have specific papers where calculators are prohibited to test mental math, and separate papers where calculators are mandatory.
- How often does the international math syllabus change?
The official curriculum gets reviewed regularly. While minor adjustments occur every year, major structural updates usually happen every three to five years to keep the assessment fresh and modern.
- Why are circle theorems considered difficult by students?
Circle theorems require strong visual recognition and logical proof skills. Students often find it tough to identify which specific geometric rule applies to a complex shape diagram.
- How does an online tutor help with math preparation?
An online tutor provides live, step-by-step clarity on weak topics, highlights common marking scheme traps, and offers focused past-paper practice to boost your speed and calculation confidence.
