91³Ô¹ÏÍø

View the switching guide to see the differences between your old International AS/A-level Further Mathematics specification and the 91³Ô¹ÏÍø specification (version updated November 2022).

91³Ô¹ÏÍø International AS/A-level Further Mathematics covers the following topics:

Pure Maths (AS/A-level)

• Algebra and graphs
• Coordinate geometry
• Complex numbers
• Roots and coefficients of a quadratic equation
• Differentiation
• Trigonometry
• Calculus

Pure, Statistics and Mechanics (AS/A-level)

• Matrices and transformations
• Linear graphs
• Numerical methods
• Bayes’ Theorem
• Uniform distribution
• Geometric distribution
• Probability generating functions
• Linear combinations of discrete random variables
• Constant velocity in two dimensions
• Dimensional analysis
• Collisions in one dimension

Pure Maths (A-level only)

• Roots and polynomials
• De Moivre’s Theorem
• Polar coordinates
• Proof by induction
• Finite series
• Series and limits
• The calculus of inverse trigonometrical functions
• Arc length and area of surface of revolution about the x-axis
• Hyperbolic functions
• Differential equations – first order
• Differential equations – second order
• Vectors and three-dimensional coordinate geometry
• Matrix algebra
• Solution of linear equations

Statistics and Mechanics (A-level only)

• Moment generating functions
• Estimators
• Estimation
• Further hypothesis testing
• Vertical circular motion
• Projectiles launched onto inclined planes
• Elastic strings and springs
• Collisions in two dimensions
• Application of differential equations
• Simple harmonic motion

91³Ô¹ÏÍø provides all the resources and advice you need to teach the International AS/A-level Further Mathematics specification effectively.

• Download the specification
• Read our switching guide
• View our training courses to help you deliver 91³Ô¹ÏÍø International AS/A-level Further Mathematics
•  published by Oxford University Press

We have too many International AS/A-level Further Mathematics resources to list here, so please visit our resource area for teachers to see them all, including:

• Schemes of work to allow you to plan how to deliver the specification in a way that will best suit you and your students
• Teaching guidance to outline clearly the scope of teaching and learning
• Topic tests and mock exam analysers to allow you to track your students’ progress throughout the teaching year

This is a modular qualification, with four papers over the AS/A-level teaching period.

AS Paper 1 – Unit FP1:

• Any part of the FP1 section of the specification may be assessed
• Scientific calculator allowed
• 1 hour 30 minutes
• 80 marks
• 50% of AS-level, 20% of A-level

AS Paper 2 – Unit FPSM1:

• Any part of the FPSM1 section of the specification may be assessed
• Scientific calculator allowed
• 1 hour 30 minutes
• 80 marks
• 50% of AS-level, 20% of A-level

A-level Paper 1 – Unit FP2:

• Any part of the FP2 section of the specification may be assessed
• Scientific calculator allowed
• 2 hours 30 minutes
• 120 marks
• 37.5% of A-level

A-level Paper 2 (Option A) – Unit FS2:

• Any part of the FS2 section of the specification may be assessed
• Scientific calculator allowed
• 1 hour 30 minutes
• 80 marks
• 22.5% of A-level

A-level Paper 2 (Option B) – Unit FM2:

• Any part of the FM2 section of the specification may be assessed
• Scientific calculator allowed
• 1 hour 30 minutes
• 80 marks
• 22.5% of 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.

Take a look at:

• The 91³Ô¹ÏÍø International AS/A-level Further Mathematics switching guide
• Example specimen exam paper and mark scheme

You must be an approved 91³Ô¹ÏÍø centre to enter students for our exams. Make sure you become an 91³Ô¹ÏÍø centre before you start teaching a course.