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Further Mathematics

Why study Further Mathematics?

There are five good reasons to study Further Maths:

  1. Career opportunities
  2. Employability skills
  3. Preparation for higher education
  4. Supporting other subjects
  5. An interesting course

To find out the detail behind these five good reasons, click here.

Summary of content

This WJEC GCE AS and A Level in Further Mathematics provide a broad, coherent, satisfying and worthwhile course of study. It encourages learners to develop confidence in, and a positive attitude towards, mathematics and to recognise its importance in their own lives and to society. The specification has been designed to respond to the proposals set out in the report of the ALCAB panel on mathematics and further mathematics.

Units

The following overarching themes are present in both AS and A level specifications – see the full specification for the details.

  • Mathematical argument, language and proof
  • Mathematical problem solving
  • Mathematical modelling
  • Use of data in statistics

AS - Unit 1 - Further Pure Mathematics A

Written examination: 1 hour 30 minutes

13.33% of A level qualification (33.33% of AS qualification); 70 marks

Topics include:

  • Proof
  • Complex Numbers
  • Matrices
  • Further Algebra and Functions
  • Further Vectors

AS - Unit 2 - Further Statistics A

Written examination: 1 hour 30 minutes

13.33% of A level qualification (33.33% of AS qualification); 70 marks

Topics include:

  • Random Variables and the Poisson Process
  • Exploring relationships between variables and goodness of fit of a model

AS - Unit 3 - Further Mechanics A

Written examination: 1 hour 30 minutes; 13.33% of A level qualification (33.33% of AS qualification); 70 marks

Topics include:

  • Momentum and Impulse
  • Hooke's Law
  • Work
  • Energy and Power
  • Circular Motion
  • Differentiation and Integration of Vectors

A2 - Unit 4 - Further Pure Mathematics B

Written examination: 2 hours 30 minutes; 35% of A level qualification; 120 marks

This unit is compulsory.

Topics include:

  • Complex Numbers
  • Further Trigonometry
  • Matrices
  • Further Algebra and Functions
  • Further Calculus
  • Polar Coordinates
  • Hyperbolic functions
  • Differential equations

A2 - Unit 5 - Further Statistics B

 

Candidates will choose either Unit 5 or Unit 6.

Written examination: 1 hour 45 minutes; 25% of A level qualification; 80 marks

Topics include:

  • Samples and Populations
  • Statistical Distributions
  • Hypothesis Testing
  • Estimation

A2 - Unit 6 - Further Mechanics B

Candidates will choose either Unit 5 or Unit 6.

Written examination: 1 hour 45 minutes; 25% of A level qualification; 80 marks

Topics include:

  • Rectilinear motion
  • Momentum and Impulse
  • Moments and Centre of Mass
  • Equilibrium of Rigid Bodies
  • Differential Equations

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