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FURTHER MATHS (ENRICHMENT) – GCSE

Awarding Body: AQA
Course Code: 8365
QAN: 603/3104/5 For further information please click here

OVERVIEW OF THE COURSE

AQA Level 2 Further Maths GCSE is a unique qualification designed to stretch and challenge high achieving mathematicians who are expected to achieve the top grades in GCSE Mathematics and are likely to progress to study A-level Mathematics and Further Mathematics. It is only offered as an extra-curricular qualification and is studied by invitation only. 

High-achieving students are introduced to AS topics that will help them develop skills in algebra, geometry, calculus, matrices, trigonometry, functions and graphs. The course includes topics which will be familiar through their previous studies in mathematics, but also introduces more abstract and unfamiliar topics such as matrices.

 

CONTENT AND ASSESSMENT

Assessment

The course is assessed through two exams, both of which are 1 hour and 45 minutes.

Paper 1 is non-calculator, paper 2 requires a  calculator

Any content from the course can appear on either paper

Content

1. Number

  • Combinatorics
  • Surds
4. Calculus

  • Differentiation of polynomials
  • Finding gradients of tangents and normal
  • Finding higher derivatives
  • Finding minima and maxima
2. Algebra

  • Polynomial Algebra
  • Functions
  • Simultaneous Equations
  • Laws of Indices
  • Sequences
5. Geometry

  • Geometric Proof
  • Trigonometry
  • Pythagoras’s theorem
  • Trigonometric graphs
3. Coordinate Geometry

  • Equation of a straight line
  • Equation of a circle
6 Matrices

  • Arithmetic with matrices
  • Transformations of the plane