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A-Level Further Mathematics
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- Syllabus
- Revision Sheet
- Syllabus Checklist
- Scheme of Work
- Exam Technique
- Command Words — A3 poster
- Lesson Plans — one page per topic
- Class Mark Book
1. Further Pure Mathematics 1 26 files
Handouts
Presentation slides
Exercise walk-through slides
Vocabulary
Topic Quizzes
Exercise sheets
Past Paper Questions
Unit Tests
2. Further Pure Mathematics 2 23 files
Handouts
Presentation slides
Exercise walk-through slides
Vocabulary
Topic Quizzes
Exercise sheets
Past Paper Questions
Unit Tests
3. Further Mechanics 24 files
Handouts
Presentation slides
Exercise walk-through slides
Vocabulary
Topic Quizzes
Starter Quizzes
Exercise sheets
Past Paper Questions
Unit Tests
4. Further Probability & Statistics 20 files
Handouts
Presentation slides
Exercise walk-through slides
Vocabulary
Topic Quizzes
Exercise sheets
Past Paper Questions
Unit Tests
2025 68 files
October / November session
- Paper 11 Questions Answers
- Paper 12 Questions Answers
- Paper 13 Questions Answers
- Paper 14 Questions Answers
- Paper 21 Questions Answers
- Paper 22 Questions Answers
- Paper 23 Questions Answers
- Paper 24 Questions Answers
- Paper 31 Questions Answers
- Paper 32 Questions Answers
- Paper 33 Questions Answers
- Paper 34 Questions Answers
- Paper 41 Questions Answers
- Paper 42 Questions Answers
- Paper 43 Questions Answers
- Paper 44 Questions Answers
June session
- Paper 11 Questions Answers
- Paper 12 Questions Answers
- Paper 13 Questions Answers
- Paper 14 Questions Answers
- Paper 21 Questions Answers
- Paper 22 Questions Answers
- Paper 23 Questions Answers
- Paper 24 Questions Answers
- Paper 31 Questions Answers
- Paper 32 Questions Answers
- Paper 33 Questions Answers
- Paper 34 Questions Answers
- Paper 41 Questions Answers
- Paper 42 Questions Answers
- Paper 43 Questions Answers
- Paper 44 Questions Answers
2024 52 files
October / November session
- Paper 11 Questions Answers
- Paper 12 Questions Answers
- Paper 13 Questions Answers
- Paper 21 Questions Answers
- Paper 22 Questions Answers
- Paper 23 Questions Answers
- Paper 31 Questions Answers
- Paper 32 Questions Answers
- Paper 33 Questions Answers
- Paper 41 Questions Answers
- Paper 42 Questions Answers
- Paper 43 Questions Answers
June session
- Paper 11 Questions Answers
- Paper 12 Questions Answers
- Paper 13 Questions Answers
- Paper 21 Questions Answers
- Paper 22 Questions Answers
- Paper 23 Questions Answers
- Paper 31 Questions Answers
- Paper 32 Questions Answers
- Paper 33 Questions Answers
- Paper 41 Questions Answers
- Paper 42 Questions Answers
- Paper 43 Questions Answers
2023 52 files
October / November session
- Paper 11 Questions Answers
- Paper 12 Questions Answers
- Paper 13 Questions Answers
- Paper 21 Questions Answers
- Paper 22 Questions Answers
- Paper 23 Questions Answers
- Paper 31 Questions Answers
- Paper 32 Questions Answers
- Paper 33 Questions Answers
- Paper 41 Questions Answers
- Paper 42 Questions Answers
- Paper 43 Questions Answers
June session
- Paper 11 Questions Answers
- Paper 12 Questions Answers
- Paper 13 Questions Answers
- Paper 21 Questions Answers
- Paper 22 Questions Answers
- Paper 23 Questions Answers
- Paper 31 Questions Answers
- Paper 32 Questions Answers
- Paper 33 Questions Answers
- Paper 41 Questions Answers
- Paper 42 Questions Answers
- Paper 43 Questions Answers
2022 52 files
October / November session
- Paper 11 Questions Answers
- Paper 12 Questions Answers
- Paper 13 Questions Answers
- Paper 21 Questions Answers
- Paper 22 Questions Answers
- Paper 23 Questions Answers
- Paper 31 Questions Answers
- Paper 32 Questions Answers
- Paper 33 Questions Answers
- Paper 41 Questions Answers
- Paper 42 Questions Answers
- Paper 43 Questions Answers
June session
- Paper 11 Questions Answers
- Paper 12 Questions Answers
- Paper 13 Questions Answers
- Paper 21 Questions Answers
- Paper 22 Questions Answers
- Paper 23 Questions Answers
- Paper 31 Questions Answers
- Paper 32 Questions Answers
- Paper 33 Questions Answers
- Paper 41 Questions Answers
- Paper 42 Questions Answers
- Paper 43 Questions Answers
2021 52 files
October / November session
- Paper 11 Questions Answers
- Paper 12 Questions Answers
- Paper 13 Questions Answers
- Paper 21 Questions Answers
- Paper 22 Questions Answers
- Paper 23 Questions Answers
- Paper 31 Questions Answers
- Paper 32 Questions Answers
- Paper 33 Questions Answers
- Paper 41 Questions Answers
- Paper 42 Questions Answers
- Paper 43 Questions Answers
June session
- Paper 11 Questions Answers
- Paper 12 Questions Answers
- Paper 13 Questions Answers
- Paper 21 Questions Answers
- Paper 22 Questions Answers
- Paper 23 Questions Answers
- Paper 31 Questions Answers
- Paper 32 Questions Answers
- Paper 33 Questions Answers
- Paper 41 Questions Answers
- Paper 42 Questions Answers
- Paper 43 Questions Answers
- A-Level Further Mathematics — Question index
- 1.1 Roots of polynomial equations
- 1.2 Rational functions and graphs
- 1.3 Summation of series
- 1.4 Matrices
- 1.5 Polar coordinates
- 1.6 Vectors
- 1.7 Proof by induction
- 2.1 Hyperbolic functions
- 2.2 Matrices
- 2.3 Differentiation
- 2.4 Integration
- 2.5 Complex numbers
- 2.6 Differential equations
- 3.1 Motion of a projectile
- 3.2 Equilibrium of a rigid body
- 3.3 Circular motion
- 3.4 Hooke's law
- 3.5 Linear motion under a variable force
- 3.6 Momentum
- 4.1 Continuous random variables
- 4.2 Inference using normal and t-distributions
- 4.3 Chi-squared tests
- 4.4 Non-parametric tests
- 4.5 Probability generating functions
Topic quizzes
- 1. Further Pure Mathematics 1
- 2. Further Pure Mathematics 2
- 3. Further Mechanics
- 4. Further Probability & Statistics
Starter quizzes
Unit tests
- 1. Further Pure Mathematics 1
- 2. Further Pure Mathematics 2
- 3. Further Mechanics
- 4. Further Probability & Statistics
Mock papers
Course companion
Glossary
Topic handouts
- 1.1 Roots of polynomial equations
- 1.2 Rational functions and graphs
- 1.3 Summation of series
- 1.4 Matrices
- 1.5 Polar coordinates
- 1.6 Vectors
- 1.7 Proof by induction
- 2.1 Hyperbolic functions
- 2.2 Matrices
- 2.3 Differentiation
- 2.4 Integration
- 2.5 Complex numbers
- 2.6 Differential equations
- 3.1 Motion of a projectile
- 3.2 Equilibrium of a rigid body
- 3.3 Circular motion
- 3.4 Hooke's law
- 3.5 Linear motion under a variable force
- 3.6 Momentum
- 4.1 Continuous random variables
- 4.2 Inference using normal and t-distributions
- 4.3 Chi-squared tests
- 4.4 Non-parametric tests
- 4.5 Probability generating functions
Lesson slides
- 1. Further Pure Mathematics 1
- 2. Further Pure Mathematics 2
- 3. Further Mechanics
- 4. Further Probability & Statistics
Lesson slides
- 1.1 Roots of polynomial equations
- 1.2 Rational functions and graphs
- 1.3 Summation of series
- 1.4 Matrices
- 1.5 Polar coordinates
- 1.6 Vectors
- 1.7 Proof by induction
- 2.1 Hyperbolic functions
- 2.2 Matrices
- 2.3 Differentiation
- 2.4 Integration
- 2.5 Complex numbers
- 2.6 Differential equations
- 3.1 Motion of a projectile
- 3.2 Equilibrium of a rigid body
- 3.3 Circular motion
- 3.4 Hooke's law
- 3.5 Linear motion under a variable force
- 3.6 Momentum
- 4.1 Continuous random variables
- 4.2 Inference using normal and t-distributions
- 4.3 Chi-squared tests
- 4.4 Non-parametric tests
- 4.5 Probability generating functions
Vocabulary lists
- 1. Further Pure Mathematics 1
- 2. Further Pure Mathematics 2
- 3. Further Mechanics
- 4. Further Probability & Statistics
Flashcards
Weekly vocab tests
- Week 1 · Topic 1 · Further Pure Mathematics 1
- Week 2 · Topic 1 · Further Pure Mathematics 1
- Week 3 · Topic 1 · Further Pure Mathematics 1
- Week 4 · Topic 1 · Further Pure Mathematics 1
- Week 5 · Topic 1 · Further Pure Mathematics 1
- Week 6 · Topic 1 · Further Pure Mathematics 1
- Week 7 · Topic 1 · Further Pure Mathematics 1
- Week 8 · Topics 1–3 · Further Pure Mathematics 1, Further Mechanics
- Week 9 · Topic 3 · Further Mechanics
- Week 10 · Topic 3 · Further Mechanics
- Week 11 · Topic 3 · Further Mechanics
- Week 12 · Topic 3 · Further Mechanics
- Week 13 · Topic 3 · Further Mechanics
- Week 14 · Topics 3–4 · Further Mechanics, Further Probability & Statistics
- Week 15 · Topic 4 · Further Probability & Statistics
- Week 16 · Topic 4 · Further Probability & Statistics
- Week 17 · Topic 4 · Further Probability & Statistics
- Week 18 · Topic 4 · Further Probability & Statistics
- Week 19 · Topic 2 · Further Pure Mathematics 2
Weekly homework
Exercise sheets
- Complete pack — exercise sheets + past papers
- 1 Further Pure Mathematics 1 — Part 1
- 1 Further Pure Mathematics 1 — Part 2
- 2 Further Pure Mathematics 2 — Part 1
- 2 Further Pure Mathematics 2 — Part 2
- 3 Further Mechanics — Part 1
- 3 Further Mechanics — Part 2
- 4 Further Probability & Statistics — Part 1
- 4 Further Probability & Statistics — Part 2
Past papers
- 1.1 Roots of polynomial equations
- 1.2 Rational functions and graphs
- 1.3 Summation of series
- 1.4 Matrices
- 1.5 Polar coordinates
- 1.6 Vectors
- 1.7 Proof by induction
- 2.1 Hyperbolic functions
- 2.2 Matrices
- 2.3 Differentiation
- 2.4 Integration
- 2.5 Complex numbers
- 2.6 Differential equations
- 3.1 Motion of a projectile
- 3.2 Equilibrium of a rigid body
- 3.3 Circular motion
- 3.4 Hooke's law
- 3.5 Linear motion under a variable force
- 3.6 Momentum
- 4.1 Continuous random variables
- 4.2 Inference using normal and t-distributions
- 4.3 Chi-squared tests
- 4.4 Non-parametric tests
- 4.5 Probability generating functions
Specimen Papers
- Specimen Paper Answers Paper 1 (2020)
- Specimen Paper Answers Paper 2 (2020)
- Specimen Paper Answers Paper 3 (2020)
- Specimen Paper Answers Paper 4 (2020)
Example Candidate Responses
- Example Candidate Responses Paper 1 (2022)
- Example Candidate Responses Paper 2 (2022)
- Example Candidate Responses Paper 3 (2022)
- Example Candidate Responses Paper 4 (2022)
- Example Candidate Responses Paper 4 (2025)
- Example Responses Paper 1 (2025)
- Example Responses Paper 2 (2025)
- Example Responses Paper 3 (2025)
Syllabus Documents
- Mathematics - Further 2026-2027 Syllabus Document
- Mathematics - Further 2026-2027 Syllabus Update
- Notation List
- MF19 List of Formulae and Statistical Tables