Exam Board
AQA
What will you study?
Number and algebra I
1.1 Numbers and the number system 1
1.2 Simplifying expressions
1.3 Solving linear equations
1.4 Algebra and number
1.5 Expanding brackets
1.6 The binomial expansion
1.7 Manipulating surds
1.8 The product rule for counting
Algebra II
2.1 Factorising
2.2 Rearranging formulae
2.3 Simplifying algebraic fractions
2.4 Solving linear equations involving fractions
2.5 Completing the square
Algebra III
3.1 Function notation
3.2 Domain and range of a function
3.3 Composite functions
3.4 Graphs of functions
3.5 Graphs of linear functions
3.6 Finding the equation of a line
3.7 Graphs of quadratic functions
3.8 Inverse functions
3.9 Graphs of exponential functions 68
3.10 Graphs of functions with up to three parts to their domains
Algebra IV
4.1 Quadratic equations
4.2 Simultaneous equations in two unknowns
4.3 The factor theorem
4.4 Linear inequalities
4.6 Indices
4.7 Algebraic proof
4.8 Sequences
4.9 Limiting value of a sequence
4.10 Simultaneous equations in three unknowns
Coordinate geometry
5.1 Parallel and perpendicular lines 121
5.2 The distance between two points 122
5.3 The midpoint of a line joining two points
5.4 Equation of a straight line
5.5 The intersection of two lines
5.6 Dividing a line in a given ratio
5.7 Equation of a circle
Geometry I
6.1 Mensuration
6.2 Pythagoras’ theorem
6.3 Angle facts
6.4 Circle theorems
6.5 Geometric proof
6.6 Trigonometry in two dimensions 159
6.7 Trigonometric functions for angles of any size
6.8 The sine and cosine graphs
6.9 The tangent graph
6.10 Solution of trigonometric equations
6.11 Trigonometric identities
Geometry II
7.1 The area of a triangle
7.2 The sine rule
7.3 The cosine rule
7.4 Using the sine and cosine rules together
7.5 Problems in three dimensions
7.6 Lines and planes in three dimensions
Calculus
8.1 The gradient of a curve
8.2 Differentiation
8.3 Differentiation using standard results
8.4 Tangents and normals
8.5 Increasing and decreasing functions
8.6 The second derivative
8.7 Stationary points
Matrices
9.1 Multiplying matrices
9.2 Transformations
9.3 The identity matrix
9.4 Transformations of the unit square
9.5 Combining transformations
Useful tips and resources
AQA Further Maths text book.
AQA Level 2 Certificate in Further Mathematics: Exam Practice
AQA IGCSE FM “Full Coverage” sheets
Dr Frost Maths
Mr Barton Maths
Mr Carter Maths
What super curricular activities can KS3 students engage with at school?
Hans Woyda Maths competition, Autumn term.
UKMT maths challenge.
