Edexcel Pure Mathematics 4
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 P4 and prepare for your modular exams.
1. Syllabus
The detailed syllabus structure for Edexcel Pure Mathematics 4 (P4) comprises the following topics:
1. Proof
1.1 Proof by contradiction.
2. Algebra and functions
2.1 Partial fractions.
3. Coordinate geometry in the (x, y) plane
3.1 Parametric equations.
4. Binomial expansion
4.1 Binomial series for rational powers.
5. Differentiation
5.1 Implicit and parametric differentiation.
5.2 Simple differential equations.
6. Integration
6.1 Volume of revolution.
6.2 Integration by substitution and parts.
6.3 Integration using partial fractions.
6.4 Solving first order differential equations.
6.5 Area under parametric curves.
7. Vectors
7.1 2D and 3D vectors.
7.2 Magnitude of a vector.
7.3 Vector algebra.
7.4 Position vectors.
7.5 Distance between two points.
7.6 Vector equations of lines.
7.7 Scalar product and angles between lines.
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 | ||
| Partial Fractions | Notes | Practice |
| Binomial Expansion | ||
| General Binomial Expansion | Notes | Practice |
| Differentiation | ||
| Further Applications of Differentiation | Notes | Practice |
| Implicit Differentiation | Notes | Practice |
| Integration | ||
| Differential Equations | Notes | Practice |
| Further Integration | Notes | Practice |
| Parametric Equations | ||
| Further Parametric Equations | Notes | Practice |
| Parametric Equations | Notes | Practice |
| Proof | ||
| Proof by Contradiction | Notes | Practice |
| Vectors | ||
| Vector Equations of Lines and scalar products | Notes | Practice |
| Vectors in 2D | Notes | Practice |
| Vectors in 3D | Notes | Practice |
2.2 Cheat Sheets
Summary cheat sheets and formula revision guides for Edexcel Pure Mathematics 4 (P4):
| Topic / Concept | Cheat Sheet (PDF) |
|---|---|
| Ch.8 Parametric Equations | 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 4 (P4):
3.1 Topical Worksheets
| Topic / Concept | Worksheet (QP) | Mark Scheme (MS) |
|---|---|---|
| Coordinate Geometry | ||
| Parametric equations | QP | MS |
| Differentiation | ||
| Differentiating functions defined parametrically | QP | MS |
| Integration | ||
| Differential equations | QP | MS |
| Differential equations − further questions | QP | MS |
| Integrating functions defined parametrically | QP | MS |
3.2 Practice Question Packs
| Topic / Question Pack | QP/MS |
|---|---|
| Vectors | |
| Vectors | QP/MS |
4. Topical Past Paper Questions
Official topical past paper question packs (PDF) for Edexcel Pure Mathematics 4 (P4):
| 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 7: Sequences And Series | Questions |
| Chapter 8: Exponentials And Logarithms | Questions |
| Chapter 10: Binomial Expansion | Questions |
| Chapter 11: Vectors | 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 4 Past Papers
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