AQA GCSE Further Maths revision

Topic 1: Number

We will go through it step by step.

1. 1.1Surds and indices: fractional and negative indices, simplifying and rationalisingFree 28 questions

Topic 2: Algebra

There are 7 parts: we start with algebraic manipulation, and finish with functions.

1. 2.1Algebraic manipulation: expanding, factorising and algebraic fractions26 questions
2. 2.2Polynomials: the factor theorem, the remainder theorem and solving cubics32 questions
3. 2.3Quadratics: completing the square, the discriminant and quadratic inequalities11 questions
4. 2.4Simultaneous equations: linear with quadratic, and three linear equations27 questions
5. 2.5Sequences: nth terms of linear and quadratic sequences and limiting values26 questions
6. 2.6Algebraic proof: odd, even, consecutive and identity proofs29 questions
7. 2.7Functions: domain and range, composite and inverse functions, and piecewise functions36 questions

Topic 3: Coordinate geometry (2D)

There are 2 parts: we start with straight lines, and finish with circles.

1. 3.1Straight lines: gradient, midpoint, distance, and parallel and perpendicular linesFree 33 questions
2. 3.2Circles: the equation of a circle, completing the square and tangents51 questions

Topic 4: Calculus

There are 3 parts: we start with differentiation, and finish with stationary points.

1. 4.1Differentiation: the gradient function of powers of xFree 22 questions
2. 4.2Tangents and normals to curves52 questions
3. 4.3Stationary points: maxima, minima and curve sketching55 questions

Topic 5: Matrix transformations

There are 2 parts: we start with matrices, and finish with matrix transformations of the unit square.

1. 5.1Matrices: multiplying matrices and the identity matrixFree 16 questions
2. 5.2Matrix transformations of the unit square: reflections, rotations, enlargements and combinations15 questions

Topic 6: Geometry

There are 2 parts: we start with the sine and cosine rules, area of a triangle and 3D trigonometry, and finish with trigonometric graphs, identities and equations.

1. 6.1The sine and cosine rules, area of a triangle and 3D trigonometryFree 52 questions
2. 6.2Trigonometric graphs, identities and equations35 questions

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