How to use this website

This is a comprehensive list of all the topics you may study for your GCSEs.

You might not cover all these topics so first find what specification and tier you are doing

You can ask your teachers about this.

Once you find out, choose the correct subjects. For example, if you do AQA don't choose the OCR specific modules. Note that if you do foundation, you do all core modules.

If you do higher you do all the core modules and all the higher tier modules.

Topics:

Number

• Integers and Place Value – Core
• Decimals – Core
• Fractions, Decimals, and Percentages – Core
• Factors, Multiples, and Primes – Core
• Powers and Roots – Core
• Standard Form – Core
• Surds – Higher Tier (AQA, OCR, CCEA)
• Rounding and Estimation – Core
• Ratio and Proportion – Core
• Financial Mathematics – Core
• Personal, Household, and Business Finance – CCEA Specific
• Foreign Money and Exchange Rates – CCEA Specific
• Binary – CCEA Specific

Algebra

• Expressions 1,
• Expressions 2
• Factorising Singles
• Factorising Quadratics
• factquad2
• Double Brackets
• Equations, and Formulae – Core Linear and Quadratic Equations – Core
• Inequalities – Core
• Sequences – Core
• Graphs of Functions – Core
• Algebraic Manipulation – Core
• Simultaneous Equations – Core
• Graphs of Trigonometric Functions – Higher Tier (AQA, OCR)
• Cubic Sequences – Higher Tier (AQA, OCR)
• Solving Cubic Equations – Higher Tier (AQA, OCR)

Ratio, Proportion, and Rates of Change

• Direct and Inverse Proportion – Core
• Compound Measures (e.g., Speed, Density) – Core
• Percentage Change – Core
• Gradient and Rate of Change – Core
• Discrete Growth and Decay – OCR Specific

Geometry and Measures

• Properties and Constructions of Shapes – Core
• Angles and Bearings – Core
• Circles, Sectors, and Arcs – Core
• Circle Theorems – Higher Tier (AQA, OCR)
• Transformations – Core
• Pythagoras’ Theorem – Core
• Trigonometry – Core
• Vectors – Higher Tier (AQA, OCR)
• Congruence and Similarity – Core
• Mensuration (Perimeter, Area, Volume) – Core
• Triangle Mensuration – OCR Specific
• Loci and Constructions – Core
• Maps and Scale Drawings – CCEA Specific

Probability

• Basic Probability and Experiments – Core
• Combined Events and Probability Diagrams – Core
• Conditional Probability – Higher Tier (AQA, OCR)

Statistics

• Collecting Data – Core
• Representing Data – Core
• Analysing Data – Core
• Cumulative Frequency Diagrams – Higher Tier (AQA, OCR)
• Histograms – Higher Tier (AQA, OCR)