Edexcel Pure Mathematics 3
Pearson Edexcel International Advanced Level (IAL) Mathematics
Welcome, students! This academic portal provides unit-specific study materials, syllabus outlines, and exam revision resources to help you master P3 and prepare for your modular exams.
1. Syllabus
The detailed syllabus structure for Edexcel Pure Mathematics 3 (P3) comprises the following topics:
1. Algebra and functions
1.1 Simplification of rational expressions.
1.2 Functions and inverse functions.
1.3 Modulus function.
1.4 Combinations of transformations.
2. Trigonometry
2.1 Secant, cosecant, cotangent and inverse trig functions.
2.2 Pythagorean identities.
2.3 Addition and double angle formulae.
3. Exponential and logarithms
3.1 The exponential function.
3.2 The natural logarithm function.
3.3 Logarithmic graphs and relationships.
4. Differentiation
4.1 Differentiating exponential, log and trig functions.
4.2 Product, quotient and chain rules.
4.3 Differentiating inverse relations.
4.4 Exponential growth and decay.
5. Integration
5.1 Integrating standard functions.
5.2 Integration by recognition.
6. Numerical methods
6.1 Location of roots.
6.2 Simple iterative methods.
2. Study Lessons
2.1 Study Notes
Access core study notes and practice worksheets for each subtopic below:
| Subtopic | Revision Notes | Practice Questions |
|---|---|---|
| Algebra & Functions | ||
| Combinations of Transformations | Notes | Practice |
| Functions | Notes | Practice |
| Rational Expressions | Notes | Practice |
| Differentiation | ||
| Further Differentiation | Notes | Practice |
| Exponentials & Logarithms | ||
| Exponentials and Logarithms | Notes | Practice |
| Modelling with Exponentials and logarithms | Notes | Practice |
| Integration | ||
| Further Integration | Notes | Practice |
| Numerical Methods | ||
| Numerical Methods | Notes | Practice |
| Trigonometry | ||
| Compound and Double Angle Formulae | Notes | Practice |
| Further Trigonometric Equations | Notes | Practice |
| Reciprocal and Inverse Trigonometric functions | Notes | Practice |
| Trigonometric Proof | Notes | Practice |
2.2 Cheat Sheets
Summary cheat sheets and formula revision guides for Edexcel Pure Mathematics 3 (P3):
| Topic / Concept | Cheat Sheet (PDF) |
|---|---|
| Ch.1 Algebraic Methods | Cheat Sheet |
| Ch.2 Functions and Graphs | Cheat Sheet |
| Ch.3 Sequences and Series | Cheat Sheet |
| Ch.4 Binomial Expansion | Cheat Sheet |
| Ch.5 Radians | Cheat Sheet |
| Ch.6 Trigonometric Functions | Cheat Sheet |
| Ch.7 Trigonometry and Modelling | Cheat Sheet |
| Ch.9 Differentiation | Cheat Sheet |
| Ch.10 Numerical Methods | Cheat Sheet |
| Ch.11 Integration | Cheat Sheet |
3. Practice Questions
Topical worksheets with Question Papers (QP) & Mark Schemes (MS) alongside single-file Practice Question Packs (QP/MS) organized by official syllabus topics for Edexcel Pure Mathematics 3 (P3):
3.1 Topical Worksheets
| Topic / Concept | Worksheet (QP) | Mark Scheme (MS) |
|---|---|---|
| Algebra & Functions | ||
| Binomial expansions | QP | MS |
| Binomial expansions − further questions | QP | MS |
| Composite functions | QP | MS |
| Domain, range and values of functions | QP | MS |
| Inverse of a function | QP | MS |
| Mixed exam-style questions on functions | QP | MS |
| Mixed exam-style questions on partial fractions | QP | MS |
| Mixed exam-style questions on rational expressions | QP | MS |
| Partial fractions | QP | MS |
| Rational expressions | QP | MS |
| Rational expressions − further questions | QP | MS |
| The modulus function | QP | MS |
| Transformations of functions | QP | MS |
| Transformations of functions − further questions | QP | MS |
| Coordinate Geometry | ||
| Circles − further questions | QP | MS |
| Sequences & Series | ||
| Arithmetic series | QP | MS |
| Arithmetic series − further questions | QP | MS |
| Geometric series | QP | MS |
| Geometric series − further questions | QP | MS |
| Mixed exam-style questions on sequences and series | QP | MS |
| Mixed exam-style questions on series | QP | MS |
| Sequences | QP | MS |
| Trigonometry | ||
| Addition and double angle formulae | QP | MS |
| Factor formulae | QP | MS |
| Inverse trigonometric functions | QP | MS |
| Mixed exam-style questions on trigonometry | QP | MS |
| Pythagorean identities | QP | MS |
| Radians, arcs and sectors | QP | MS |
| Radians, arcs and sectors − further questions | QP | MS |
| Secant, cosecant and cotangent | QP | MS |
| The expression a cos x + b sin x | QP | MS |
| Trigonometry − further questions | QP | MS |
| Differentiation | ||
| Connected rates of change | QP | MS |
| Differentiating exponentials and logarithms − further questions | QP | MS |
| Differentiating functions defined implicitly | QP | MS |
| Differentiating trigonometric functions | QP | MS |
| Mixed exam-style questions on differentiation | QP | MS |
| The chain rule | QP | MS |
| The chain rule − further questions | QP | MS |
| The product rule | QP | MS |
| The product rule and the quotient rule − further questions | QP | MS |
| The quotient rule | QP | MS |
| Using dydx = 1 ÷ dxdy | QP | MS |
| Integration | ||
| Integrating exponentials and the reciprocal of x | QP | MS |
| Integrating functions of ax + b | QP | MS |
| Integrating trigonometric functions | QP | MS |
| Integration by parts | QP | MS |
| Integration by substitution | QP | MS |
| Integration using partial fractions | QP | MS |
| Integration − further questions | QP | MS |
| Mixed exam-style questions on integration | QP | MS |
| Numerical Methods | ||
| Iterative methods of solving equations | QP | MS |
| Iterative methods of solving equations − further questions | QP | MS |
| Locating roots using changes of sign | QP | MS |
| Mixed exam-style questions on numerical methods | QP | MS |
| Numerical integration − the trapezium rule | QP | MS |
3.2 Practice Question Packs
| Topic / Question Pack | QP/MS |
|---|---|
| Algebra & Functions | |
| Partial Fractions | QP/MS |
| Coordinate Geometry | |
| Coordinate geometry - Circles | QP/MS |
| Trigonometry | |
| Trigonometric Equations | QP/MS |
| Trigonometric Identities | QP/MS |
| Differentiation | |
| Chain Rule | QP/MS |
| Numerical Methods | |
| Iterative Equations | QP/MS |
| Location of Roots | QP/MS |
4. Topical Past Paper Questions
Official topical past paper question packs (PDF) for Edexcel Pure Mathematics 3 (P3):
| Chapter / Topical Pack | Question Pack (PDF) |
|---|---|
| Chapter 1: Algebra And Functions | Questions |
| Chapter 2: Coordinate Geometry In 2D Plane | Questions |
| Chapter 3: Trigonometry | Questions |
| Chapter 4: Differentiation | Questions |
| Chapter 5: Integration | Questions |
| Chapter 6: Proof | Questions |
| Chapter 8: Exponentials And Logarithms | Questions |
| Chapter 9: Numerical Methods | Questions |
5. Past Papers Bank
Search and filter official past exam papers. Use the control panel below to filter by year and variant:
Edexcel Pure Mathematics 3 Past Papers
Loading past papers...