Further Maths
OCR Further Maths A Level H245
This new A Level qualification builds on the skills, knowledge and understanding set out in the new GCSE (91) subject content for mathematics for 2015. The content is separated into three areas: Pure Mathematics, Statistics and Mechanics with all elements being
assessed through a written examination. All pupils must study all three topic areas. Further Maths cannot be studied in its own right and must be taken in conjunction with the single A Level Maths course. (Resulting in 2 maths qualifications).
Pure Maths learners will extend and deepen their knowledge of proof, algebra, functions, calculus, vectors and differential equations studied in A Level Mathematics. They will also broaden their knowledge into other areas of pure mathematics that underpin the further study of mathematics and other numerate subjects with complex numbers, matrices, polar coordinates and hyperbolic functions. In Statistics learners will explore the theory which underlies the statistics content in A Level Mathematics, as well as extending their tool box of statistical concepts and techniques. This area covers combinatorics, probability distributions for discrete and continuous random variables, hypothesis tests and confidence intervals for a population mean, chisquared tests, nonparametric tests, correlation and regression. In Mechanics learners extend their knowledge of particles, kinematics and forces from A Level Mathematics, using their extended pure mathematical knowledge to explore more complex physical systems. The area covers dimensional analysis, work, energy, power, impulse, momentum, centres of mass, circular motion and variable force.
Topics Studied per Year
Topics  Year 12 
Conditional probability 

General Binomial Expansion 

Calculus of exponential and trig functions 

Further Differentiation 

Further integration 

Further applications of calculus 

Further Hypothesis testing 

Differential Equations 

Numerical solutions 

Numerical Methods 

Topics Studied per Year
Topics  Year 13 
Functions 

Rational functions 

Further transformations 

Further Trigonometry 

Applications of vectors 

Projectiles 

Sequences 

Proof 

Rational functions 

Forces in context 

Moments 
