GCSE Maths revision is unique because the exam tests problem-solving, not just procedures. You can't just memorise methods. You need to recognise which method applies to unfamiliar problems. The specification covers number, algebra, ratio and proportion, geometry, probability, and statistics, with questions designed to combine topics in unexpected ways.
GCSE Maths has three papers: Paper 1 is non-calculator (1 hour 30 minutes), Papers 2 and 3 are calculator papers (each 1 hour 30 minutes). Each paper is worth 80 marks. The content is the same across all three papers: any topic can appear on any paper. Foundation tier covers grades 1-5, Higher tier covers grades 4-9.
Unitsmost important first
Number
- Place Value & Ordering
- Negative Numbers
- Factors, Multiples & Primes
- BIDMAS
- Integers & Decimals
- Fractions Basics
- Fraction Operations
- Percentages
- FDP Conversions
- Powers & Roots
- Index Laws
- Standard Form
- Rounding & Estimation
- Bounds & Error Intervals
- Surds
- Recurring Decimals
- Ratio Basics
- Proportion
- Percentage Problems
- Compound Measures
- Growth & Decay
Algebra
- Algebraic Notation
- Simplifying Expressions
- Expanding Brackets
- Factorising
- Linear Equations
- Rearranging Formulae
- Linear Inequalities
- Sequences
- nth Term
- Quadratic Sequences
- Quadratic Expressions
- Solving Quadratics
- Quadratic Formula
- Completing the Square
- Simultaneous Equations
- Graphical Solutions
- Algebraic Fractions
- Function Notation
- Inverse Functions
- Composite Functions
- Iteration
- Proof
- Quadratic Inequalities
Geometry & Measures
- Angle Facts
- Angles in Parallel Lines
- Angles in Polygons
- Properties of Triangles
- Properties of Quadrilaterals
- Properties of Circles
- Perimeter
- Area of Rectangles & Triangles
- Area of Parallelograms & Trapeziums
- Circumference & Area of Circles
- Sectors & Arcs
- Volume of Cuboids & Prisms
- Volume of Pyramids & Cones
- Volume & Surface Area of Spheres
- Surface Area
- Pythagoras' Theorem
- Pythagoras in 3D
- Trigonometry (SOH CAH TOA)
- Exact Trig Values
- Sine Rule
- Cosine Rule
- Area of Triangle (Trig)
- 3D Trigonometry
- Bearings
- Circle Theorems
- Transformations
- Transformations: Reflections
- Transformations: Rotations
- Transformations: Enlargements
- Vectors (Basics)
- Vectors (Geometry Proofs)
- Constructions
- Loci
- Congruence