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A Level Mathematics: Further at Barton Court Grammar School

Course description

Further Mathematics is essential for students wishing to study Mathematics at degree level and is highly valued for Science and Engineering degrees. Students must also be enrolled in A Level Mathematics to follow this course.

Course content

Course content:

In the 2 year course students will prepare for four externally examined papers. The following overarching themes should be applied across the whole of the detailed content in the specification:

1. Mathematical argument, language and proof

2. Mathematical problem solving

3. Mathematical modelling. Mandatory Papers: Pure Core 1 & Pure Core 2: Proof, complex numbers, matrices, further vectors, further algebra, series, hyperbolic functions, further calculus, polar coordinates, differential equations.

Optional Papers:

Mechanics: Dimensional analysis, work, energy and power, impulse and momentum, centre of mass, motion in a circle, further dynamics and kinematics.

Statistics: Probability, discrete random variables, continuous random variables, linear combinations of random variables, hypothesis tests and confidence intervals, chi-squared tests, non-parametric tests, correlation, linear regression.

Additional pure mathematics: Sequences and series, number theory, groups, further vectors, surfaces and partial differentiation, further calculus.

Discrete Mathematics: Mathematical preliminaries, graphs and networks, algorithms, network algorithms, decision making in project management, graphical linear programming, the simplex algorithm, game theory.

Entry requirements

Sixth Form entry requirements, including Mathematics at grade 8 or 9.


Students must take both mandatory pure core papers and any two optional papers to be awarded the A Level. Students may take more than two optional papers to increase the breadth of their course. The combination of papers that results in the best grade will be used. All papers carry equal weighting, 25% of the qualification each, and are assessed by written examination with a duration of 1 hour and 30 minutes.

Future opportunities

There is a great demand for people with mathematical ability. Further Mathematics is an advantage for anyone contemplating a degree in Mathematics and knowledge of Further Mathematics is also an advantage for various degree courses in Engineering, Statistics and courses with a mathematical content.

Further information

To find out more about this qualification, contact Mrs Macrae, Director of Mathematics, or Mr Tsafaras, Second in Mathematics: Further Mathematics A Level, or to your Mathematics teacher, or visit

How to apply

You can apply for this course through UCAS Progress. Add this course to your favourites so you can start making an application.

Last updated date: 05 December 2017
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Key information

  • Start date: Next September
  • Duration: 2 years