CIE AS/A Level Further Pure Mathematics 1 9231 (Paper 1)

Cambridge International AS/A Level Further Mathematics is accepted by universities and employers as proof of
mathematical knowledge and understanding. Successful candidates gain lifelong skills, including:

  • a deeper understanding of mathematical principles;
  • the further development of mathematical skills including the use of applications of mathematics in the context of everyday situations and in other subjects that they may be studying;
  • the ability to analyse problems logically, recognising when and how a situation may be represented mathematically;
  • the use of mathematics as a means of communication;
  • a solid foundation for further study.


Further Pure Mathematics 1 9231 (Paper 1) Syllabus 2020-2022 [PDF]

We need to remind those of you who are taking further maths that as per the ALevels CIE syllabus, it is mentioned

‘Knowledge of the syllabus for Pure Maths P1 and P3 in Mathematics 9709 is assumed, and candidates may need to apply such knowledge in answering questions’

We have therefore prepared our further maths modules based on the assumption that students have knowledge of P1 and P3 maths.

Nevertheless our solutions are fully detailed and not sketchy. Our further maths modules are prepared following closely the syllabus and use actual exam questions plus some of our own selections to explain the said topics. These modules are made available for viewing only.

However our modules stand out because they zero in on the syllabus. We used actual exam questions to explain ideas.

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1. Roots of polynomial equations   (68:03 mins) View Here USD$ 69

2. Rational functions and graphs   (140:26 mins) View Here USD$ 89

3. Summation of series   (135:55 mins) View Here USD$ 79

4. Matrices   (182:20 mins) View Here USD$ 99

5. Polar coordinates   (118:54 mins) View Here USD$ 79

6. Vectors   (251:54 mins) View Here USD$ 109

7. Proof by induction   (96:40 mins) View Here USD$ 69

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** This coursework includes detailed notes and full solutions to many CIE Further Maths exam questions going back as far as 2002.

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List of formulae and statistical tables