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Mathematics A Level at Ilkley Grammar School

Course description

The study of Mathematics at AS and A Level is both challenging and rewarding. Each year it attracts many students, some of whom have not always found Mathematics easy. While we expect a certain degree of mathematical ability, a willingness to work hard and a determination to achieve success with complex problems are just as important.

Mathematics is of use in a wide variety of future careers and degree courses, especially those with a mathematical, numerical, scientific, medical, statistical or engineering component.

The following subject titles will be offered:
AS Level Mathematics
A Level Mathematics

The AS and A Level subjects listed above are intended to encourage students to:

  • develop their understanding of mathematics and mathematical processes in a way that promotes
  • confidence, fosters enjoyment and provides a strong foundation for progress to further study;
  • develop abilities to reason logically and recognise incorrect reasoning, to generalise and to construct mathematical proofs;
  • extend their range of mathematical skills and techniques and use them in more difficult, unstructured problems;
  • develop an understanding of coherence and progression in mathematics and of how different areas of mathematics can be connected;
  • recognise how a situation may be represented mathematically and understand the relationship between ‘real world’ problems and standard and other mathematical models and how these can be refined and improved;
  • use mathematics as an effective means of communication;
  • acquire the skills needed to use technology such as calculators and computers effectively, recognise when such use may be inappropriate and be aware of limitations;
  • develop an awareness of the relevance of mathematics to other fields of study, to the world of work and to society in general;
  • take increasing responsibility for their own learning and evaluation of their own mathematical development.

Course content

All the content studied at AS in more depth plus additional content including:
Pure Maths – functions, numerical methods, differential equations
Statistics – normal distribution
Mechanics – motion under gravity and moments.

Entry requirements

General entry requirement for Post-16: 5 grade 4/C at GCSE, preferably including English and Maths. Specific entry requirements: Ideally a grade 7 in Maths. Students who got a level 6 at GCSE Maths may do A-level Maths if they successfully reach a pre-specified pass mark for in an algebra test in the first week of the course. Topics to be shared on GCSE results day.


3 x 2 hour exams
Paper 1 – Pure Mathematics
Paper 2 – Pure and Statistics
Paper 3 – Pure and Mechanics

Future opportunities

This course can lead to a variety of higher education and career opportunities including: Mathematics, Accounting, Engineering, Architecture, Medicine, Economics, Physics, Natural Sciences, Veterinary Sciences, and Business Studies. There are a large number of students studying Maths (the most popular post 16 subject in school). Last year out of the top 18 students leaving the school with the highest attainment and progress, 14 of these studied Mathematics and/or Further Mathematics. 3 of these students went on to gain places at Oxford or Cambridge to study further, with many others achieving highly coveted places at a various universities.

How to apply

If you want to apply for this course, you will need to contact Ilkley Grammar School directly.

Last updated date: 10 November 2017
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