Further Mathematics
9231| AS/A-Level
Overview
The aims are to enable candidates to:
further develop their mathematical knowledge and skills in a way which encourages confidence and provides satisfaction and enjoyment
develop an understanding of mathematical principles and an appreciation of mathematics as a logical and coherent subject
acquire a range of mathematical skills, particularly those which will enable them to use applications of mathematics in the context of everyday situations and of other subjects they may be studying
further develop the ability to analyse problems logically
recognise when and how a situation may be represented mathematically, identify and interpret relevant factors and select an appropriate mathematical method to solve the problem
use mathematics as a means of communication with emphasis on the use of clear expression
acquire the mathematical background necessary for further study in this or related subjects.
We recommend that students who are beginning this course should have an A* in iGCSE Maths, iGCSE Additional Maths is preferred and in order to continue with Further Maths in Y13 - students should achieve a result of A* or A in A-Level Mathematics (9709) in year 12
What is A Level Further Maths all about and why should you study it?
Course Content
It is expected that learners will have studied the majority of the Cambridge International AS & A Level Mathematics (9709) subject content before studying Cambridge International AS & A Level Further Mathematics (9231).
All candidates will study the following topics:
Further Pure Mathematics 1 (Paper 1)
1 Roots of polynomial equations
2 Rational functions and graphs
3 Summation of series
4 Matrices 1
5 Polar coordinates
6 Vectors
7 Proof by induction
Further Pure Mathematics 2 (Paper 2)
1 Hyperbolic functions
2 Matrices 2
3 Differentiation
4 Integration
5 Complex Numbers
6 Differential Equations
Further Mechanics (Paper 3)
1 Motion of a projectile
2 Equilibrium of a rigid body
3 Circular motion
4 Hooke’s law
5 Linear motion under a variable force
6 Momentum
Further Probability & Statistics . (Paper 4)
1 Continuous random variables
2 Inference using normal and t-distributions
3 Chi-squared test
4 Non-parametric tests
5 Probability generating functions
Assessment
Candidates will take the full Advanced Level by completing four written examination papers in a single examination series.
Paper 1 (Further Pure Mathematics 1) – 2 hours (weighting 30%)
75 marks
6 to 8 structured questions based on Further Pure Mathematics 1 subject content
Answer all questions
Written examination
Externally assessed and marked by Cambridge International
Paper 2 (Further Pure Mathematics 2) – 2 hours (weighting 30%)
75 marks
7 to 9 structured questions based on the Further Pure Mathematics 2 subject content
Answer all questions
Written examination
Externally assessed and marked by Cambridge International.
Paper 3 (Further Mechanics) – 1 hour 30 minutes (weighting 20%)
50 marks
5 to 7 structured questions based on the Further Mechanics subject content
Answer all questions
Written examination
Externally assessed and marked by Cambridge International.
Paper 4 (Further Probability & Statistics) – 1 hour 30 minutes (weighting 20%)
50 marks
5 to 7 structured questions based on the Further Probability & Statistics subject content
Answer all questions
Written examination
Externally assessed and marked by Cambridge International.
Progression
Every year thousands of students with Cambridge International AS & A Levels gain places at leading universities worldwide. Cambridge International AS & A Levels are accepted across 195 countries. They are valued by top universities around the world including those in the UK, US (including Ivy League universities), Europe, Australia, Canada and New Zealand.
UK NARIC, the national agency in the UK for the recognition and comparison of international qualifications and skills, has carried out an independent benchmarking study of Cambridge International AS & A Level and found it to be comparable to the standard of AS & A Level in the UK. This means students can be confident that their Cambridge International AS & A Level qualifications are accepted as equivalent, grade for grade, to UK AS & A Levels by leading universities worldwide.
Cambridge International AS Level Further Mathematics makes up the first half of the Cambridge International A Level course in further mathematics and provides a foundation for the study of further mathematics at Cambridge International A Level. Depending on local university entrance requirements, students may be able to use it to progress directly to university courses in mathematics or some other subjects. It is also suitable as part of a course of general education.
Cambridge International A Level Further Mathematics provides an excellent foundation for the study of mathematics or related courses in higher education. Equally it is suitable as part of a course of general education.