Bolton School Sixth Form Girls

Mathematics and Further Mathematics


To develop your understanding and enjoyment of Mathematics, to extend your range of mathematical skills and techniques and to help you to acquire the foundation necessary for the further study of Mathematics and other disciplines.

To develop your ability to think more logically and to recognise and analyse situations which can be represented mathematically.

What will I study?

All girls will have the opportunity to take AS and A2 in this subject.

The content of A Level Mathematics comprises both Pure and Applied Mathematics. Pure Mathematics topics include Algebra and Functions, Coordinate Geometry, Sequences and Series, Trigonometry, Exponentials and Logarithms, Calculus, Vectors, Numerical Methods and Proof. Applied Mathematics content includes both Statistics and Mechanics topics. Statistics topics include Sampling, Data Presentation and Interpretation, Probability, Statistical Distributions and Hypothesis Testing. Mechanics topics include Kinematics, Forces and Moments.  The more able mathematicians may choose to study both Mathematics and Further Mathematics. The Advanced Level in Further Mathematics has some choice of content. The compulsory content is Pure Mathematics. Optional content is taken from a choice of more Pure Mathematics, Statistics and/or Mechanics.

How will I be assessed?

The examinations for your A2 are taken at the end of Year 13 and examine the full two years of work studied. Two thirds of examination content will be Pure Mathematics topics and one third Applied Mathematics topics.

In Further Mathematics, half of the examination content will be from compulsory topics and half from the optional topics.

Desirable requirements

The level of Mathematics studied is most suited to pupils who have achieved a good A grade or A* grade at IGCSE or GCSE. (Pupils scoring less than 70UMS at GCSE or IGCSE tend to find this course very challenging). Your enthusiasm for the subject will be beneficial in meeting the many challenges posed by this rigorous and highly interesting course.

How will I study?

Students of Advanced Level Mathematics will be taught by two different members of staff.  In general you will be working independently, but you are encouraged to discuss problems with your friends or a member of staff.

Where will it lead?

Mathematics is as much a channel of communication as it is a problem-solving resource. It is increasingly useful as a passport to many interesting careers in fields as diverse as Engineering, Science, Economics, Finance, Marketing, and Computer Sciences.


I am currently studying Mathematics, Further Mathematics, French and Economics. I chose to study both Mathematics and Further Mathematics as I really enjoyed the subject at GCSE. I feel that Mathematics is a great subject to study at A Level because the skills learnt can be applied to many other subjects, especially the Sciences. Studying Mathematics has definitely helped me to think more logically. I would recommend Mathematics to anyone who thoroughly enjoys the subject; you have to work extremely hard to meet the challenges faced during the rigorous, yet interesting, A Level course.”