Mathematics and Further Mathematics

A Level

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Availability & Details

Maths (Double), A-Level AF-MATHAL-D(0000)001

Alton Campus

Type of study

Academic Year 2021-22 (2 years)

Examination board

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How to apply

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If you love Mathematics, doing this course means you can double the amount of Mathematics on your timetable!

As well as the topics described in A Level Mathematics, you'll discover what the square root of -1 is and how matrices are used in making computer-animated films. You'll also discover why motorway corners are banked and how to decide whether a new drug has improved life expectancy for cancer patients. You'll be solving differential equations to model simple harmonic motion and the population of foxes and rabbits. And you'll prove the formula for the volume of a sphere. 

If you are an able Mathematician and interested in Maths related careers and courses such as Engineering, Physics, Economics or Computing, then this course is for you.

Five GCSEs at grade 4 or above including English Language. You must also have a grade 7 or above in GCSE Mathematics, although a grade 8 or 9 is preferred. This course must be studied alongside A Level Mathematics.

This is a two year course. In Year 1 you will cover the material for A Level Mathematics and in Year 2 you will cover the work for A Level Further Mathematics. The Further Mathematics course consists of Pure Mathematics (50%) and then two options (25% each), chosen from Further Pure, Further Mechanics, Decision Maths and Further Statistics. The options taught will vary from year to year.


Further Mechanics

  • Momentum and Impulse
  • Work, Energy and Power
  • Elastic Strings and Springs
  • Elastic Collisions in One and Two Dimensions

 Further Pure

  • Further vectors
  • Conic Sections
  • Inequalities
  • The t-formulae
  • Taylor Series
  • Further Calculus
  • Numerical Methods


  • Graphs and Networks
  • Algorithms on Graphs
  • Route Inspection
  • Travelling Salesman Problem
  • Linear Programming
  • Simplex Algorithm
  • Critical Path Analysis

Further Statistics

  • Discrete Random Variables
  • Poisson, Geometric and Binomial Distributions
  • Hypothesis Testing
  • Central Limit Theorem
  • Chi-squared Test
  • Probability Generating Functions


Lesson activities are wide-ranging, from classroom discussions on how best to mathematically model a situation, to practising problem-solving questions in pairs.  Graphic calculators and online apps will be used to introduce and explore concepts. 

You will also participate in the National Senior Maths Challenge and can help out at Maths competitions for feeder schools we organise every year.  Our best students will be part of the Senior Team Maths Challenge, which we hope to win again. Students can also get support for STEP, MAT & TMUA university entrance exams needed for Cambridge, Oxford & Durham, along with competitions such as the Maths Olympiad for Girls.

100% exams; consisting of four papers, each 1½ hours long.

Textbooks for the two years: £80.
Course materials per year: £14.50.
New calculator: £20 - £60, depending on the scientific/graphical model.

You’re here to learn and you want to learn, and the lecturers make it fun. You don’t have to come to college but you want to come to college.

Natalie Thorpe, A Level student

My experience with the teaching and support was really well, as I’m dyslexic, they helped me a lot and I’ve achieved good grades, so I’m really pleased.

Thomas McCann, A Level student

My experience at the College was great, it’s very different to school, and I think it’s a good step to going to university. The support was amazing, I loved all of my teachers, they helped me through everything. The College is friendly and you will succeed.

Heidi Adamson Brattland, A Level student