# Further Mathematics

**Board - Edexcel**

Course Content

**Paper 1: Further Pure Mathematics **

*Written examination: 1 hour and 30 minutes 25% of the qualification 75 marks*

*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*

*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*

*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*

*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.