International AS / A-level Further Mathematics

A Level Further Maths

This qualification is a rigorous second A-level in maths. It provides challenge for the most able mathematicians who are intending to study a maths-related degree.

This qualification is available for teaching from September 2017 in Bahrain, China, Egypt, Indonesia, Jordan, Kuwait, Malaysia, Oman, Qatar, Saudi Arabia, Singapore, Thailand and the United Arab Emirates.


Unit FP1: Pure maths (AS)
Unit FPSM1: Pure maths, statistics and mechanics (AS)

Unit FP2: Pure maths (A2)
Unit FS2: Statistics OR Unit FM2: Mechanics (A2)


  • 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.

Syllabus summary

Pure Maths (AS only)

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

Pure, Statistics and Mechanics (AS only)

  • 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

Download the complete Oxford AQA International AS / A-level Further Mathematics specification (PDF, 8.3 MB).

Resources available with this specification

Oxford International AQA Examinations provides the resources and advice you need to teach the International AS / A-level Further Mathematics specification effectively.

Scheme of Work

Plan your course with the help of a suggested pathway through the syllabus so you can be sure you are covering the essential content.

Specimen Papers and Mark Schemes

See how the International AS / A-level Further Mathematics specification will be assessed, so you can help your students prepare to sit their exams.

Student Support Pack

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Exampro is an online database of AQA past paper questions mapped to the new international qualifications, enabling teachers to create their own resources and assessments.

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Enhanced Results Analysis™ tool

Our free Enhanced Results Analysis tool (ERA) gives you instant analysis of your students’ results. You’ll see how students performed in each unit, topic and marks they received for each question. This allows you to see which questions proved the most challenging, or how different classes performed, so you know what areas to focus on in following years. The tool will be available following published results from the first cohort of International A-level Further Mathematics students.

Download this specification

(PDF, 8.3 MB)

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