Exam Board: Edexcel    Duration: 2 years    Entry Requirements: Grade 8 in GCSE Mathematics (Higher).

Reasons to study A Level Further Mathematics

A Level Further Mathematics takes your ability to answer mathematical problems at GCSE and extend them into real world modelling by providing you with even more core and applied mathematics skills.

Through independent learning, classroom discussion and challenging concepts, we will develop your thinking and mathematical skills in a way that builds a deep understanding, preparing you for university and/or the world of work.

Like Maths, Further Maths is recognised by universities as an excellent ‘facilitating subject’ which means it is highly valued on any degree course, as the skills underpin many professions and subjects. Further Maths would be useful for any degree with a high maths content such as Engineering or Computer Science, and is also very useful for any Science degree. Maths is also useful for architecture, and higher level courses or careers in finance, economics and accounting.

Course Outline

The key skills which underpin the study of further maths at Key Stage 5 are to develop fluency, the ability to reason and to apply mathematical knowledge to problem solving.

The topic areas covered in this qualification are split into 3 main sections: Pure, Mechanics and Statistics.

Pure Mathematics:
Matrices; Vectors; Complex numbers; Roots of polynomials; Mathematical induction; Proofs; Series and induction; Powers and roots of complex numbers; Complex numbers and trigonometry; Lines and planes in space; Simultaneous equations and planes; Hyperbolic functions; Further calculus techniques; Applications of calculus; Polar coordinates; Differential equations and applications of differential equations.

Discrete random variables; Poisson Distribution; Non-parametric hypothesis tests; Correlation and regression; Chi-squared tests; Continuous distributions; Probability generating functions; Quality of Tests; Combining random variables and Further hypothesis tests and confidence intervals.

Momentum and impulse; Work, energy and power; Elastic strings and springs and elastic energy; Elastic collisions in one and two dimensions.

Assessment Outline

Paper 1 Pure Mathematics 1:
Externally examined, written exam (1 hour 30 minutes)

Paper 2 Pure Mathematics 2:
Externally examined, written exam (1 hour 30 minutes)

Paper 3 Further Statistics 1:
Externally examined, written exam (1 hour 30 minutes)

Paper 4 Further Mechanics 1:
Externally examined, written exam (1 hour 30 minutes)

Each paper is equally weighted and calculators are allowed for each.

Progression Routes and Career Paths

  • Actuarial Analyst
  • Aerospace Engineer
  • Financial Analyst
  • Theoretical Physicist
  • Mathematician
  • Data Analyst
  • Research Analyst
  • Computer Scientist
  • Cryptographer
  • Research Scientist
  • Risk Analyst
  • Quantitative Analyst
  • Software Engineer
  • Investment Analyst
  • Mathematical Modeller
  • Aerospace Engineer
  • Engineering Analyst
  • Biostatistician

The Romero’s Mathematics Department

A committed team of expert teachers who share their love of their subject with passion

Opportunities for enrichment including involvement in the STEM life of the school as well as involvement in the Imperial College London, Maths Programme

Other enrichment opportunities for maths students include taking part in national Maths competitions, university visits, industry visits including financial and engineering organisations, overseas Maths visits

A team of teachers who at GCSE have, year on year, delivered some of the strongest outcomes in the country.

Further Information

For more information or if you have any questions about the A Level Mathematics course please contact:

Mr D Larkam – Subject Leader for Mathematics [email protected]