KS5 Mathematics and Further Maths

Overview

All pupils follow the same Mathematics course that contains Pure (Core), Mechanics and Statistics. It is no longer possible to choose only Mechanics or Statistics (National Decision). The Faculty also runs a popular Further Maths course intended to extend, engage and develop the most able mathematicians. Further Maths can only be taken in conjunction with Maths and not as a stand-alone A-level. Year 13 Mathematics and Further Mathematics follow OCR (MEI) syllabus, Year 12 follow the Edexcel syllabus.

 

Course Structure

For students currently in Year 12, they will sit three examinations at the end of their year 13. These papers will be:

  • Pure 1
  • Pure 2
  • Statistics and mechanics

Each paper is 2 hours long and worth 1/3 of the final grade. For students currently in Year 13 they will sit three examinations at the end of their Year 13. These papers will be:

  • Pure and mechanics (36.4%)
  • Pure and statistics (36.4%)
  • Pure and comprehension (27.3%)

The comprehension element requires students to read a short passage on some application of mathematics and answer questions. Each paper is 2 hours long and the percentage of final grade is indicated above.

Further Mathematics

For students currently in Year 12, they will sit three examinations at the end of their year 13. These papers will be:

  • Core Pure 1
  • Core Pure 2
  • Further statistics 1
  • Further mechanics 1

Each paper is 1 hour 30 minutes long and worth 25% of the final grade.

For students currently in Year 13 they will sit three examinations at the end of their Year 13. These papers will be:

  • Core pure – assessment time 2 hours 40 minutes, 50% of final grade
  • Statistics major – assessment time 2 hours 15 minutes, 33 1.3 of final grade
  • Mechanics minor – assessment time 1 hour 15 minutes, 16 2/3 of final grade 

Year 12  Mathematics

 

Pure (Core)

 

Statistics

 

Mechanics

Problem-Solving Data Collection Kinematics
Surds and Indices Data Processing, Presentation and Interpretation Forces and Newton’s Laws of Motion
Quadratic Functions Probability Variable Acceleration
Equations and Inequalities The Binomial Distribution
Coordinate Geometry Statistical Hypothesis Testing using the Binomial Distribution
Trigonometry
Polynomials
Graphs and Transformations
The Binomial Expansion
Differentiation
Integration
Vectors
Exponentials and Logarithms    

Year 12  Further Mathematics

 

Pure (Core)

 

Statistics

 

Mechanics

Matrices and Transformations Statistical Problem Solving Kinematics
Introduction to Complex Numbers Discrete Random Variables Forces and Motion
Roots of Polynomials Discrete Probability Distributions A Model for Friction
Sequences and Series Bivariate Data (Correlation Coefficients) Moments of Forces
Complex Numbers and Geometry Bivariate Data (Regression Lines) Work, Energy and Power
Matrices and their Inverses Chi-Squared Tests Impulse and Momentum
Vectors and 3D Space Conditional Probability Centre of Mass 1
Dimensional Analysis

Year 13  Mathematics

 

Pure (Core)

 

Statistics

 

Mechanics

Proof Probability Kinematics
Trigonometry Statistical Distributions Forces and Motion
Sequences and Series Statistical Hypothesis Testing Moments of Forces
Functions Projectiles
Differentiation A Model for Friction
Trigonometric Functions
Further Algebra
Trigonometric Identities
Further Differentiation
Integration
Parametric Equations
Vectors
Differential Equations
Numerical Methods

Year 13  Further Mathematics

 

Pure (Core)

 

Statistics

Vectors 1 Probabilities density functions
Matrices Expectation algebra and Normal Distribution
Series and Induction Confidence Intervals
Further Calculus Hypothesis testing
Polar Coordinates Simulation
Maclaurin Series
Hyperbolic Functions
Applications of Integration
First Order Differential Equations
Complex Numbers
Vectors 2
Second Order Differential Equations

Other Useful Information

  • MEI integral resources – extra notes, examples and interactive resources provided by the exam board – to be accessed by individual student login.
  • Mathsbox – website that contains lots of resources and practise questions on pure, statistics and mechanics. Also contains further maths material.
  • United Kingdom Mathematics Trust (UKMT) – Charity which runs the Junior and Intermediate challenges, available to our high ability learners. In addition to this, they also organise the team maths challenge.
  • Youtube – many excellent videos that can help understanding of tricky concepts.
  • NRICH – Website that specialises in open-ended mathematical tasks. Designed to stretch our most able learners.