There are currently 3 Syllabus options for CIE Further Mathematics. These options depend upon the year in which a student wishes to take their examination.
Prior knowledge of the entire content of the Cambridge International A Level Mathematics syllabus is assumed.
For years 2018 and 2019 a full A Level qualification is available.
From 2020 Cambridge International AS Level will also be available . Please see below for further information.
CIE A Level Further Mathematics 2017/2018.
The assessment of the CIE A Level Maths 2017/2018 is based on 2 written papers that are outlined below.
There is an assumed knowledge of the syllabus for Pure Mathematics (Units P1 and P3) in Mathematics 9709. Candidates may need to use this knowledge to answer questions in the Further Mathematics papers.
CIE A Level Further Maths 9231 (2017/2018)
Paper 1 will count for 50% of the overall grade and will be 3 hours in duration.
There are a possible maximum of 100 marks from around 11 questions of different marks and lengths. The final question will offer two alternatives, only one of which must be answered.
CIE A Level Further Maths 9231 (2017/2018)
Paper 2 will count for 50% of the overall grade and will be 3 hours in duration.
Students must answer 4 or 5 questions on Mechanics (worth a total of 43 or 44 marks) and 4 or 5 questions on Statistics (worth a total of 43 or 44 marks). The questions will have different marks and be of different lengths.
The final question will offer two alternatives, one on Statistics and one on Mechanics, only one of which must be answered – this will be worth 12 or 14 marks.
CIE A Level Further Mathematics 2019
The assessment of the CIE A Level Maths 2019 is based on 2 written papers that are outlined below.
There is an assumed knowledge of the syllabus for Pure Mathematics (Units P1 and P3) in Mathematics 9709. Candidates may need to use this knowledge to answer questions in the Further Mathematics papers.
CIE A Level Further Maths 9231 (2019)
Paper 1 will count for 50% of the overall grade and will be 3 hours in duration.
There are a possible maximum of 100 marks from around 11 questions of different marks and lengths. The final question will offer two alternatives, only one of which must be answered.
CIE A Level Further Maths 9231 (2019)
Paper 2 will count for 50% of the overall grade and will be 3 hours in duration.
Students must answer 4 or 5 questions on Mechanics (worth a total of 43 or 44 marks) and 4 or 5 questions on Statistics (worth a total of 43 or 44 marks). The questions will have different marks and be of different lengths.
The final question will offer two alternatives, one on Statistics and one on Mechanics, only one of which must be answered – this will be worth 12 or 14 marks.
CAIE AS and A Level Further Mathematics 2020, 2021 and 2022 (9231)
From 2020 the option of a Cambridge Assessment International AS Level qualification is available as well as the A Level qualification. The AS Level will allow a choice of applied mathematics: all students must study Further Pure Mathematics 1 and choose one of either Further Probability & Statistics of Further Mechanics.
The assessment of the CAIE AS and A Level Maths from 2020 is based on options from 4 written papers that are outlined below.
Students must take 2 units for the AS Level qualification or 4 units for the full A Level qualification. Components are:
Paper 1: Further Pure Mathematics 1
Paper 2: Further Pure Mathematics 2
Paper 3: Further Mechanics
Paper 4: Further Probability and Statistics
| Certification title | Compulsory units | Optional units |
|---|---|---|
| Cambridge International AS Level Mathematics | Paper 1 (60%) | Paper 3 (40%) or Paper 4 (40%) |
| Cambridge International A Level Mathematics | Paper 1 (30%) and Paper 2 (30%) and Paper 3 (20%) and Paper 4 (20%) |
The following combinations of units are possible:
AS Level:
Paper 1 and Paper 3 (Further Pure Mathematics 1 and Further Mechanics)
or
Paper 1 and Paper 4 (Further Pure Mathematics 1 and Further Probability and Statistics)
A Level:
Paper 1: Further Pure Mathematics 1
Paper 2: Further Pure Mathematics 2
Paper 3: Further Mechanics
Paper 4: Further Probability and Statistics
Paper 1 – Further Pure Mathematics 1
Paper 1 for AS Level
Paper 1 will count for 60% of the overall AS Level grade and will be 2 hours in duration. There are a possible total of 75 marks made up from around 6-8 questions.
Paper 1 for A Level
Paper 1 will count for 30% of the overall A Level grade and will be 2 hours in duration. There are a possible total of 75 marks made up from around 6-8 questions.
Paper 1 is compulsory for AS Level and A Level
Paper 2 – Further Pure Mathematics 2
Paper 2 for A Level
Paper 2 will count for 30% of the A Level grade and will be 2 hours in duration. There are a possible total of 75 marks made up from around 7-9 questions.
Paper 2 is compulsory for A Level
Paper 3 – Further Mechanics
Paper 3 for AS Level
Paper 3 will count for 40% of the overall AS Level grade and will be 1 hour and 30 minutes in duration. There are a possible total of 50 marks made up from around 5-7 questions.
Paper 3 for A Level
Paper 3 will count for 20% of the overall A Level grade and will be 1 hour and 30 minutes in duration. There are a possible total of 50 marks made up from around 5-7 questions.
Paper 3 is offered as part of AS Level and A Level
Paper 4 – Further Probability and Statistics
Paper 4 for AS Level
Paper 4 will count for 40% of the overall AS Level grade and will be 1 hour and 30 minutes in duration. There are a possible total of 50 marks made up from around 5-7 questions.
Paper 4 for A Level
Paper 4 will count for 20% of the overall A Level grade and will be 1 hour and 30 minutes in duration. There are a possible total of 50 marks made up from around 5-7 questions.
Paper 4 is offered as part of AS Level and A Level
CAIE AS and A Level Further Maths Books
The following book has been available from April 2018 to further help your studies: 