GCSE Maths Practice papers

The content is arranged by topic area and applies to both tiers as detailed in the specification. Topics may be assessed on any paper. GCSE Papers includes the topics.

Our Mathematics aims to develop and strengthen a range of knowledge and problem solving capabilities. Among these, we aim to help students:

  • to understand maths and mathematical processes;
  • improve their reasoning skills
  • extend their mathematical techniques for use in more difficult problems;
  • understand the coherence and progression in mathematics
  • understand how different areas of mathematics are connected; and
  • become aware of the relevance of mathematics to other fields of study

The Maths Topics we cover:

Number operations and integers

  • Calculations with integers
  • Whole number theory
  • Combining arithmetic operations
  • Inverse operations

Fractions, decimals and percentages

  • Fractions
  • Decimal fractions
  • Percentages
  • Ordering fractions, decimals and percentages

Indices and surds

  • Powers and roots
  • Standard form
  • Exact calculations

Approximation and estimation

  • Approximation and estimation

Ratio, proportion and rates of change

  • Calculations with ratio
  • Direct and inverse proportion
  • Discrete growth and decay


  • Algebraic expressions
  • Algebraic formulae
  • Algebraic equations
  • Algebraic inequalities
  • Language of functions
  • Sequences

Graphs of equations and functions

  • Graphs of equations and functions
  • Straight line graphs
  • Transformations of curves and their equations
  • Interpreting graphs

Basic geometry

  • Conventions, notation and terms
  • Ruler and compass constructions
  • Angles
  • Properties of polygons
  • Circles
  • Three-dimensional shapes

Congruence and similarity

  • Plane isometric transformations
  • Congruence
  • Plane vector geometry
  • Similarity


  • Units and measurement
  • Perimeter calculations
  • Area calculations
  • Volume and surface area calculations
  • Triangle mensuration


  • Basic probability and experiments
  • Combined events and probability diagrams


  • Sampling
  • Interpreting and representing data
  • Analysing data