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A Level Further Maths

Ramsey Gatehouse Sixth Form

Abbey College, Abbey Road, Ramsey, Cambridgeshire, PE26 1DG

GCE A/AS Level or Equivalent

Level 3

Available start dates

Tuesday, 01 September 2026

Ramsey Gatehouse Sixth Form

Course Summary

The Further Mathematics Linear A Level aims to provide a deeper insight into the vast and mesmerising world of mathematics. The course goes far beyond the need to know day to day basics. It is designed for those who have a real interest and excitement in mathematics and goes some way to introduce you to branches of mathematics that few ever witness let alone master. This said, interest and self-motivation remain the most necessary skills to possess in order to succeed here. Ability alone is not what we are looking for.

Studying Further Mathematics is to give your brain an opportunity to grasp what few can, and develop your mind as one based on logic and reasoning, skills that are hugely sought after in the world of employment. Students taking Further Mathematics overwhelmingly find it to be an enjoyable, rewarding, stimulating and empowering experience. If you enjoy Mathematics, it provides a challenge and a chance to explore new and/ or more sophisticated mathematical concepts. You will need a grade 8 or better at maths GCSE to succeed on this course.

The activities you will be engaged in will be

Thinking and developing your intuition as well as exploring and testing your mathematical abilities.

Independent work is expected, this means reading up on the Integral website and bringing back questions. Also watching 3blue1brown videos on youtube which do not teach you how to solve problems, rather they explore high level thinking behind the concepts covered in class. There is lot of information on advanced maths on the internet, you just need to look for it.

Course Details

Year 12

Proof including series, matrices, by induction and divisibility

Complex numbers including roots of polynomials and the Argand plane.

Vectors 1, angles between lines and lines and planes

Conic sections

Hyperbolic functions 1

Polar form and curves

Mechanics with work energy and power, horizontal circular motion and momentum and collisions.

Statistics or Discrete maths dependent on student choice

Year 13

Matrices 2, diagonalisation, eigenvalues and eigenvectors

Vectors 2, planes and intersections with lines and planes.

Differential equations, second order with SHM, damping and coupled equations

Hyperbolic functions 2

Mechanics with centre of mass, oblique impacts, elastic energy and vertical circular motion

Statistics or Discrete maths dependent on Year 12 choice

How will it be delivered and assessed?

Year 12 AS Further Maths

Paper 1 1 hour 30 mins; 80 marks; 50% of AS

A mix of question styles, from short, single-mark questions to multi-step problems. All questions are set on Pure maths topics.

Paper 2 1 hour 30 mins; 80 marks; 50% of AS

A mix of question styles, from short, single-mark questions to multi-step problems. One question paper answer booklet on Mechanics and one question paper answer booklet on Statistics or Discrete maths.

Year 13 A level Further Maths

Paper 1 2 hours; 100 marks; 33.3 % of A level

A mix of question styles, from short, single-mark questions to multi-step problems. All questions are set on Pure maths topics.

Paper 2 2 hours; 100 marks; 33.3 % of A level

A mix of question styles, from short, single-mark questions to multi-step problems. All questions are set on Pure maths topics.

Paper 3 2 hours; 100 marks; 33.3% of A level

Entry requirements

Five GCSEs grade 4 or above, including grade 8 in Maths. - This can only be taken as a 4th Subject.

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