# Key Stage 5

At KS5 we follow the AQA specification. Students have the option to Study Mathematics A level and Further Mathematics A level. A level Mathematics comprises Pure mathematics, Statistics and Mechanics. A level Further Mathematics Comprises Pure mathematics, Statistics and Decision.

A Level Mathematics

At the end of the A level course students will sit 3 calculator papers, each 2 hours long to determine their A level grade

Paper 1: Consists of any pure element studied in the previous two years.

• Topics include
• Coordinate geometry
• Circle Geometry
• Calculus
• Logs and Exponentials
• Parametric equations
• Binomial expansion
• Proof
• Numerical Methods
• Trigonometry
• Differential equations

Paper 2: Consists of more pure elements (can still be any of the above) and also the mechanics part of the course. This covers

• Forces and Motion
• Kinematics
• Statics and Dynamics
• Moments

Paper 3: Consists of more pure elements (can still be any of the above) and also the statistics part of the course. This covers

• Sampling
• Data representation and interpreting
• Probability
• Binomial Distribution
• Normal Distribution
• Hypothesis testing

A level Further Mathematics

At the end of the A level course students will sit 3 calculator papers, each 2 hours long to determine their A level grade

All pure content of the course can be assessed in both paper 1 and paper 2.  These topics include

• Proof
• Complex numbers
• Matrices
• Further Algebra and Functions
• Further Calculus
• Further Vectors
• Polar coordinates
• Hyperbolic functions
• Differential equations
• Trigonometry
• Numerical Methods

Paper 3: This is split into two sections.  We study Discrete and statistics

• Discrete
• Graphs
• Networks
• Network flows
• Linear Programming
• Critical Path analysis
• Game theory for zero-sum games
• Binary operations

Statistics

• Discrete random variables and expectation
• Poisson distribution
• Type I and Type II errors
• Continuous random variables
• Chi squared tests for association
• Inference (t distributions)
• Confidence Intervals