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Further Mathematics

Type of Qualification:
A Level
Exam Board:
Grade 7 at GCSE Mathematics

Course Content

In Year 12, everyone studies:

  • Core Pure Mathematics 1: Complex numbers, Matrices, Proof by induction
  • Further Maths Option: Selected from Further Pure, Further Stats, Further Mechanics or Decision Maths


There are thirteen teaching lessons per fortnight with an equal time of self-study and homework required. Interactive teaching is the norm, and extra-curricular activities are offered to stretch the more able students to help them reach top grades.

In Year 13, the units deepen the areas from Year 12 but also include Polar co-ordinates, Differential equations and Hyperbolic Functions.

Course Requirement:

Students must be confident in GCSE algebra and shape topics, and complete preparation work during the summer before starting Year 12, as well as pass a competency test in the first week of September.

Style Of Assessment

A Level Further Maths has four exams:

  • Core Pure Maths 1
  • Core Pure Maths 2
  • Two Further Maths options


Each exam is 1 hour 30 minutes

Whose kind of course?

This course will be essential for anyone considering a degree with a Mathematics component. A qualification in Further Mathematics is regarded very highly by all universities and usually results in a lower UCAS offer.

Further Mathematics is also accessible for arts or business students who have an interest in a deeper understanding of mathematics.

Stretch & Challenge:

All students in both years will take part in the National Senior Maths challenge to widen and deepen their understanding of Mathematics as well as strengthen their problem-solving skills. The UKMT run the challenge, with Bronze, Silver and Gold awards available for candidates to achieve as well as a follow on Olympiad round.

Career Prospects

Accountant, Actuary, Statistician, Stockbroker, Engineer, Teacher

Many disciplines use Statistics, including Medicine, Geography, Biology and Environmental Sciences. Mechanics can complement study in Physics or Engineering, but it is not only useful for sciences, as it also covers useful problem-solving skills.