# Further Mathematics

#### FURTHER MATHEMATICS A2 (9231)

Cambridge International 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 analyze problems logically, recognizing when and how a situation may be represented mathematically
- the use of mathematics as a means of communication
- a solid foundation for further study.

#### Prior learning

Knowledge of the syllabus for Pure Mathematics (units P1 and P3) in Mathematics 9709 is assumed for

Paper 1, and candidates may need to apply such knowledge in answering questions.

Knowledge of the syllabus for Mechanics units (M1 and M2) and Probability and Statistics units (S1 and 2)

in Mathematics 9709 is assumed for Paper 2. Candidates may need to apply such knowledge in answering

questions; harder questions on those units may also be set.

Students will be examined at the end of the second year of the course. The examination comprises of two papers as follows:

Paper 1, and candidates may need to apply such knowledge in answering questions.

Knowledge of the syllabus for Mechanics units (M1 and M2) and Probability and Statistics units (S1 and 2)

in Mathematics 9709 is assumed for Paper 2. Candidates may need to apply such knowledge in answering

questions; harder questions on those units may also be set.

Students will be examined at the end of the second year of the course. The examination comprises of two papers as follows:

#### Paper 1

- Polynomials and rational functions
- Polar coordinates
- Summation of series

- Mathematical induction
- Differentiation and integration
- Differential equations

- Complex numbers
- Vectors
- Matrices and linear spaces

#### Paper 2

###### MECHANICS (Sections 1 to 5)

- Momentum and impulse
- Circular motion
- Equilibrium of a rigid body under coplanar forces
- Rotation of a rigid body
- Simple harmonic motion

###### STATISTICS (Sections 6 to 9)

- Further work on distributions
- Inference using normal and t-distributions
- χ2 -tests
- Bi-variate data

Paper 1

SCHEME OF ASSESSMENT: AS and A2 Type of Paper

There are about 11 questions of different marks and lengths on Pure Mathematics.

Duration: 3 hour

Marks: 100

Weighting: 50%

Paper 2

SCHEME OF ASSESSMENT: AS and A2 Type of Paper

Mechanics: 4 or 5 questions of different marks and lengths on (worth 44 marks)

Statistics: 4 or 5 questions of different marks and lengths on (worth 44 marks)

A final question ( worth 12 marks).

Duration: 3 hour

Marks: 100

Weighting: 50%