International AS and A-level Further Mathematics (9765) – revised
Giving students more ways to succeed in Further Mathematics
This revised specification is available for first teaching from 2027, with first AS exams in May/June 2028, and first A2 exams in May/June 2029.
A more flexible and coherent Further Mathematics specification that expands choice, simplifies assessment and supports deeper mathematical understanding.
- Following the same approach to International A-level Mathematics, optionality has been introduced at AS, allowing a choice between Mechanics or Statistics, while maintaining a strong Pure Mathematics foundation with four compulsory units across AS and A2.
- Clearer structure with separate exam papers for Pure, Mechanics, and Statistics, and consistent paper design across both AS and A2 to support confident exam preparation.
- Shorter, more manageable exam papers and aligned weighting (50% AS, 50% A2) reduce time pressure and create a more balanced assessment experience.
View the current International A-level Further Mathematics (9665) specification and resources (final AS exams May/June 2027, final A2 exams May/June 2028).
Units
- AS Unit 1 (compulsory): Further Pure Mathematics 1
- AS Unit 2 (compulsory): Further Pure Mathematics 2
- AS Unit 3 (option): Further Mechanics 1 or Further Statistics 1
- A-level Unit 4 (compulsory): Further Pure Mathematics 3
- A-level Unit 5 (compulsory): Further Pure Mathematics 4
- A-level Unit 6 (option): Further Mechanics 1 or Further Statistics 1 or Further Mechanics 2 or Further Statistics 2
Syllabus summary
OxfordAQA International AS/A-level Further Mathematics covers the following topics:
Further Pure Mathematics 1
- Algebra and graphs
- Coordinate geometry
- Complex numbers
- Roots and coefficients of quadratic equations
- Series
Further Pure Mathematics 2
- Trigonometry
- Calculus
- Numerical methods
- Matrices and transformations
Further Statistics 1
- Bayes’ theorem
- The discrete uniform distribution
- The geometric distribution
- The negative binomial distribution
- Linear combinations of discrete random variables
- Probability generating functions
- Measures and hypothesis testing of correlation
Further Mechanics 1
- Constant velocity in two dimensions
- Dimensional analysis
- Centres of mass
- Collisions in one dimension
- Collisions in two dimensions
- Elastic strings and strings
Further Pure Mathematics 3
- Series, limits and improper integrals
- Calculus of inverse and reciprocal trigonometric functions
- Hyperbolic functions
- Arc length and area of surface of revolution about the x-axis
- Differential equations
- Polar coordinates
Further Pure Mathematics 4
- Vectors and three-dimensional coordinate geometry
- Matrix algebra and linear equations
- Proof by induction and series
- Roots and coefficients of polynomial equations
- Complex numbers
- Further Statistics 2
- Moment generating functions
- Estimators
- Estimation
- Hypothesis testing
Further Mechanics 2
- Vertical circular motion
- Projectile motion on inclined planes
- Work done and energy
- Collisions in two dimensions
- Application of differential equations
- Simple harmonic motion
- Centre of mass
Teaching resources available
OxfordAQA provides all the resources and advice you need to teach the revised International AS and A-level Further Mathematics specification effectively.
- Download the revised specification
- View our training courses to help you deliver OxfordAQA International AS and A-level Further Mathematics
Assessment
This is a modular qualification, with six papers over the AS/A-level teaching period. A calculator is allowed in all exams.
AS Unit 1: Further Pure Mathematics 1
- Written exam
- 1 hour 15 minutes
- 60 marks
- 33.3% of International AS-level;16.6% of International A-level
AS Unit 2: Further Pure Mathematics 2
- Written exam
- 1 hour 15 minutes
- 60 marks
- 33.3% of International AS-level;16.6% of International A-level
AS Unit 3: Further Mechanics 1 or Further Statistics 1
- Written exam
- 1 hour 15 minutes
- 60 marks
- 33.3% of International AS-level;16.6% of International A-level
A2 Unit 4: Further Pure Mathematics 3
- Written exam
- 1 hour 15 minutes
- 60 marks
- 16.6% of International A-level
A2 Unit 5: Further Pure Mathematics 4
- Written exam
- 1 hour 15 minutes
- 60 marks
- 16.6% of International A-level
A2 Unit 6: Further Mechanics 1 or Further Statistics 1 or Further Mechanics 2 or Further Statistics 2
- Written exam
- 1 hour 15 minutes
- 60 marks
- 16.6% of International A-level
Re-sits:
- Candidates may re-sit a unit any number of times.
- The best result for each unit will count towards the final qualification.
- Candidates who wish to repeat a qualification may do so by re-sitting one or more units.
Thinking about switching to OxfordAQA?
Take a look at:
- The OxfordAQA International A-level Further Mathematics switching guide
- Example specimen exam paper and mark scheme
You must be an approved OxfordAQA centre to enter students for our exams. Make sure you become an OxfordAQA centre before you start teaching a course.
