CIE Pure Mathematics 2 & 3
Cambridge International AS & A Level Mathematics (9709)
Welcome, students! This academic portal provides unit-specific study materials, syllabus outlines, and exam revision resources to help you master P2 & P3 and prepare for your modular exams.
1. Syllabus
The detailed syllabus structure for CIE Pure Mathematics 2 & 3 (P2 & P3) comprises the following topics:
2.1 Algebra
2.2 Logarithmic and exponential functions
2.3 Trigonometry
2.4 Differentiation
2.5 Integration
2.6 Numerical solution of equations
3.1 Algebra
3.2 Logarithmic and exponential functions
3.3 Trigonometry
3.4 Differentiation
3.5 Integration
3.6 Numerical solution of equations
3.7 Vectors
3.8 Differential equations
3.9 Complex numbers
2. Study Lessons
Access core study notes and practice worksheets for each subtopic below:
| Subtopic | Revision Notes | Practice Questions |
|---|---|---|
| Algebra and Functions | ||
| Further Modelling with Functions | Notes | Practice |
| General Binomial Expansion | Notes | Practice |
| Modulus functions | Notes | Practice |
| Partial Fractions | Notes | Practice |
| Polynomials | Notes | Practice |
| Complex Numbers | ||
| Argand Diagrams | Notes | Practice |
| Complex Numbers | Notes | Practice |
| Further Complex Numbers | Notes | Practice |
| Differentiation | ||
| Differentiation of parametric equations | Notes | Practice |
| Further Differentiation | Notes | Practice |
| Implicit Differentiation | Notes | Practice |
| Integration | ||
| Differential Equations | Notes | Practice |
| Further Integration | Notes | Practice |
| Logarithms and Exponentials | ||
| Laws of Logarithms | Notes | Practice |
| Logarithmic and Exponential Functions | Notes | Practice |
| Modelling with Logarithms and exponentials | Notes | Practice |
| Numerical Methods | ||
| Numerical Solutions of Equations | Notes | Practice |
| Trigonometry | ||
| Compound and Double Angle Formulae | Notes | Practice |
| Further Trigonometric Equations | Notes | Practice |
| Reciprocal Trigonometric Functions | Notes | Practice |
| Trigonometric Proof | Notes | Practice |
| Vectors | ||
| Vector Equations of Lines and The Scalar Product | Notes | Practice |
| Vectors in 2 Dimensions | Notes | Practice |
| Vectors in 3 Dimensions | Notes | Practice |
3. Practice Questions
Access unit-focused practice question sheets and step-by-step mark schemes below:
| STT | Topic | Practice Set Description | Question Paper | Mark Scheme |
|---|---|---|---|---|
| 1 | 2.1 / 3.1 Algebra | Binomial Only | PDF QP | Upcoming |
| 2 | 2.1 / 3.1 Algebra | Factor And Remainder Theorems And Long Division | PDF QP | Upcoming |
| 3 | 2.1 / 3.1 Algebra | Modulus Graphs Equations And Inequalities | PDF QP | Upcoming |
| 4 | 2.1 / 3.1 Algebra | Partial Fractions And Binomial | PDF QP | Upcoming |
| 5 | 2.1 / 3.1 Algebra | Partial Fractions And Integration | PDF QP | Upcoming |
| 6 | 2.2 / 3.2 Logarithmic and exponential functions | Logarithm And Exponential Equations And Inequalities 1 | PDF QP | Upcoming |
| 7 | 2.2 / 3.2 Logarithmic and exponential functions | Logarithm And Exponential Equations And Inequalities 2 | PDF QP | Upcoming |
| 8 | 2.2 / 3.2 Logarithmic and exponential functions | Logarithms Transformed To Linear | PDF QP | Upcoming |
| 9 | 2.3 / 3.3 Trigonometry | Rsinxa | PDF QP | Upcoming |
| 10 | 2.3 / 3.3 Trigonometry | Trig Compound And Double Angle 1 | PDF QP | Upcoming |
| 11 | 2.3 / 3.3 Trigonometry | Trig Compound And Double Angle 2 | PDF QP | Upcoming |
| 12 | 2.4 / 3.4 Differentiation | Implicit Differentiation | PDF QP | Upcoming |
| 13 | 2.4 / 3.4 Differentiation | Parametric Eqns | PDF QP | Upcoming |
| 14 | 2.4 / 3.4 Differentiation | Product And Quotient 1 | PDF QP | Upcoming |
| 15 | 2.4 / 3.4 Differentiation | Product And Quotient 2 | PDF QP | Upcoming |
| 16 | 2.5 / 3.5 Integration | Integration By Parts | PDF QP | Upcoming |
| 17 | 2.5 / 3.5 Integration | Integration By Substitution | PDF QP | Upcoming |
| 18 | 2.5 / 3.5 Integration | Integration Of Trig | PDF QP | Upcoming |
| 19 | 2.6 / 3.6 Numerical solutions of equations | Iteration And Calculus | PDF QP | Upcoming |
| 20 | 2.6 / 3.6 Numerical solutions of equations | Iteration And Sketching Or Radians | PDF QP | Upcoming |
| 21 | 3.7 Vectors | Vectors 1 | PDF QP | Upcoming |
| 22 | 3.7 Vectors | Vectors 2 | PDF QP | Upcoming |
| 23 | 3.8 Differential equations | Differential Eqns 1 | PDF QP | Upcoming |
| 24 | 3.8 Differential equations | Differential Eqns 2 | PDF QP | Upcoming |
| 25 | 3.9 Complex numbers | Complex Numbers Eqns And Loci | PDF QP | Upcoming |
| 26 | 3.9 Complex numbers | Complex Numbers Eqns | PDF QP | Upcoming |
4. Topical Past Paper Questions
Test your knowledge with topic-classified actual past paper questions. Download the PDF papers here:
| STT | Chapter / Topic | PDF Question Paper |
|---|---|---|
| 1 | Chapter 1: Algebra | Part 1 Part 2 Part 3 Part 4 |
| 2 | Chapter 2: Logarithmic & exponential functions | Part 1 Part 2 |
| 3 | Chapter 3: Trigonometry | Part 1 Part 2 Part 3 |
| 4 | Chapter 4: Differentiation | Part 1 Part 2 Part 3 Part 4 |
| 5 | Chapter 5: Integration | Part 1 Part 2 Part 3 Part 4 |
| 6 | Chapter 6: Differential equation | Part 1 Part 2 |
| 7 | Chapter 7: Numerical methods | Part 1 Part 2 |
| 8 | Chapter 8: Complex numbers | Part 1 Part 2 Part 3 |
| 9 | Chapter 9: Vectors | Part 1 Part 2 |
5. Past Papers Bank
Search and filter official past exam papers. Use the control panel below to filter by year and paper component:
CIE Pure Mathematics 2&3 Past Papers
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