Chapters
Overview
We know the feeling: you open a past paper, and it feels like it’s written in a different language. The jump from "learning in class" to "answering exam questions" is huge, but here is the good news—the exam is predictable.
The Edexcel specification is built on six main pillars. To make your revision less overwhelming, we’ve organised every single topic into these clear columns with the help of Save My Exams.
1. Numbers & the Number System
This foundational theme focuses on the building blocks of mathematics. It covers essential skills from basic arithmetic—such as addition, subtraction, and long division—to more complex concepts like Standard Form, Error Intervals, and Prime Factors. Students will master the relationships between Fractions, Decimals, and Percentages, while Higher-tier students will dive into Recurring Decimals and Upper and Lower Bounds.
2. Equations, Formulae & Identities
Algebra is about identifying patterns and using symbols to represent relationships. This theme moves from basic Like Terms and Single Brackets to more advanced skills like Rearranging Formulae and solving Quadratic Equations. It includes a heavy focus on manipulation techniques such as Completing the Square, Factorising, and working with Algebraic Fractions, as well as understanding different types of Sequences.
3. Sequences, Functions & Graphs
This theme visualises mathematical relationships through coordinate geometry. It ranges from basic Coordinates and Drawing Straight Line Graphs to interpreting the Gradients and Turning Points of quadratic, cubic, and reciprocal functions. Students also learn to apply these skills to real-world scenarios through Distance-Time and Velocity-Time graphs, and explore advanced concepts like Transformations, Circle Graphs, and Exponential Graphs.
4. Geometry & Trigonometry
This theme is critical for solving real-life numerical problems involving comparison and scale. It covers the core mechanics of Ratio and Percentages (including reverse percentages and compound interest) alongside physical measurements like Density, Speed, and Pressure. Students also learn to distinguish between Direct and Inverse Proportion and work with various Conversion Graphs.
5. Vectors & Transformation Geometry
Geometry explores the properties of space, shapes, and their measurements. Topics range from Angle Basics and Symmetry to the calculations of Perimeter, Area, and Volume for 2D and 3D shapes. It covers vital theorems such as Pythagoras and Trigonometry (SOHCAHTOA), as well as Circle Theorems, Transformations, Vectors, and Scale Drawings.
| 5. Vectors & Transformation Geometry |
|---|
| Vectors |
| Transformations |
6. Statistics & Probability
This final theme focuses on data analysis and the mathematics of chance. In Probability, students learn to list outcomes and use Tree Diagrams, Venn Diagrams, and Set Notation to calculate likelihoods. The Statistics portion teaches students how to represent and interpret data using tools like Histograms, Scatter Graphs, Box Plots, and Cumulative Frequency curves.
| 6. Statistics & Probability |
|---|
| Statistics Toolkit |
| Histograms |
| Cumulative Frequency Diagrams |
| Probability Toolkit |
| Probability Diagrams - Venn & Tree Diagrams |
| Combined & Conditional Probability |
Higher Tier Curriculum Weighting
Higher Tier students must cover all Foundation content plus additional advanced topics.
- Algebra (30%): This is the most heavily weighted strand and includes advanced topics like functions, calculus, and quadratic inequalities.
- Geometry and Measures (25%): Includes 3D trigonometry, circle theorems, and geometric vector proofs.
- Statistics and Probability (15%): Covers conditional probability, histograms, and cumulative frequency.
- Number (15%) and Ratio (15%): Includes surds, fractional indices, and advanced compound measures.
Edexcel IGCSE Maths Exam Format
The Higher Tier is a rigorous programme specifically designed for learners targeting grades 4 to 9. It follows a linear structure, meaning both examinations must be completed in the same exam session.
Higher Tier Paper Structure
The assessment consists of two mandatory written papers of equal weighting.
- Paper 1H: This is a 2-hour examination worth 100 marks.
- Paper 2H: This is also a 2-hour examination worth 100 marks.
- Calculator Policy: A scientific or advanced graphical calculator is permitted for both Higher Tier papers.
Higher Tier Grading and Expectations
The Higher Tier papers are targeted at grades 9 through 4.
- Grade Boundaries: Grade 9 represents the highest level of achievement, while Grade 4 is a standard pass.
- Safety Net: A "safety net" Grade 3 is available for students who narrowly miss the marks required for a Grade 4.
- Assessment Objectives: Higher Tier students are expected to demonstrate greater depth in reasoning (AO2) and problem-solving (AO3), which each account for 30% of the total marks.
Strategies for Success
1. Master Advanced Method Marks
In the Higher Tier, multi-step questions are common, and "M" (method) marks are critical for success. You must show all algebraic manipulation and geometric reasoning, as correct answers with no working frequently receive zero marks in high-value problems.
2. Utilise the Higher Tier Formulae Sheet
A specific Higher Tier formulae sheet is provided at the start of each exam paper. This includes advanced equations such as the Sine Rule, Cosine Rule, and Quadratic Formula. Focus your revision on identifying the correct scenario for each formula rather than memorisation.
3. Interpret Command Words Accurately
Examiners use specific terminology to guide your response:
- "Show that": This requires you to provide structured evidence and every algebraic step to reach a conclusion that is already given.
- "Factorise fully": In Higher Tier, this often involves taking out multiple common factors or identifying the difference of two squares to ensure the expression is completely simplified.
- "Prove": This indicates you must provide a formal, logical mathematical argument, often used in circle theorems or algebraic proof.
4. Time Management on Complex Problems
With 120 minutes to earn 100 marks, you should maintain a pace of one mark per minute. This allows 20 minutes to double-check high-complexity answers at the end of the paper.
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