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Further Mathematics

Board - Edexcel

Course Content

Paper 1: Further Pure Mathematics
Written examination: 1 hour and 30 minutes               25% of the qualification                     75 marks
Content overview
Proof, Complex numbers, Matrices, Further algebra and functions, Further calculus, Further vectors
Paper 2: Further Pure Mathematics
Written examination: 1 hour and 30 minutes               25% of the qualification                     75 marks
Content overview
Complex numbers, Further algebra and functions, Further calculus, Polar coordinates, Hyperbolic functions, Differential equations
Paper 3: Further Mathematics Option 1
Written examination: 1 hour and 30 minutes               25% of the qualification                     75 marks
Content overview
Students take one of the following four options:
3A: Further Pure Mathematics 3 - Further calculus, Further differential equations, Coordinate systems, Further vectors, Further numerical methods, Inequalities
3B: Further Statistics 1 - Linear regression, Statistical distributions (discrete), Statistical distributions (continuous), Correlation, Hypothesis testing, Chi squared tests
3C: Further Mechanics 1 - Momentum and impulse, Collisions, Centres of mass, Work and energy, Elastic strings and springs
3D: Decision Mathematics 1 - Algorithms and graph theory, Algorithms on graphs, Algorithms on graphs II, Critical path analysis, Linear programming
Paper 4: Further Mathematics Option 2
Written examination: 1 hour and 30 minutes               25% of the qualification                     75 marks
Content overview
Students take one of the following seven options:
4A: Further Pure Mathematics 4 - Groups, Further calculus, Further matrix algebra, Further complex numbers, Number theory, Further sequences and series
4B: Further Statistics 1 - Linear regression, Statistical distributions (discrete), Statistical distributions (continuous), Correlation, Hypothesis testing, Chi squared tests
4C: Further Statistics 2 - Probability distributions, Combinations of random variables, Estimation, Confidence intervals and tests using a normal distribution, Other hypothesis tests and confidence intervals, Probability generating functions, Quality of tests and estimators
4D: Further Mechanics 1 - Momentum and impulse, Collisions, Centres of mass, Work and energy, Elastic strings and springs
4E: Further Mechanics 2 - Further kinematics, Further dynamics, Motion in a circle, Statics of rigid bodies, Elastic collisions in two dimensions
4F: Decision Mathematics 1 - Algorithms and graph theory, Algorithms on graphs, Algorithms on graphs II, Critical path analysis, Linear programming
4G: Decision Mathematics 2 - Transportation problems, Allocation (assignment) problems, Flows

Methods of Assessment

There are four 1 hour 30 minute examinations at the end of Year 13.

Other Information

A grade 8 or higher GCSE provides a sound basis for further study of the subject in the Sixth Form.  Candidates who have studied certificates in Additional Mathematics or Further Mathematics alongside GCSE study will be at an advantage, though this is not a requirement.
All students will be expected to complete preparatory work prior to commencing the course.

Entry Requirements

GCSE 8 in Mathematics.