GCSE Level

GCSE Maths Revision Notes

Complete, exam-focused revision notes covering every GCSE Maths topic. Perfect for quick revision or in-depth study.

20+ Topic Guides
All Free Downloadable PDFs
Both Tiers Foundation & Higher
F H

Fractions, Decimals & Percentages

Convert between fractions, decimals, and percentages. Essential calculations for all tiers.

What's Included:
  • Converting between forms
  • Finding percentages of amounts
  • Percentage increase & decrease
  • Reverse percentages
  • Compound percentages
6 pages 15 min read
F H

Ratio & Proportion

Master ratio problems, direct and inverse proportion, and related calculations.

What's Included:
  • Simplifying ratios
  • Sharing in a ratio
  • Direct proportion
  • Inverse proportion
  • Best buy problems
5 pages 12 min read
H

Standard Form & Surds

Work with very large and small numbers, and simplify surd expressions.

What's Included:
  • Converting to standard form
  • Calculations in standard form
  • Simplifying surds
  • Rationalising denominators
  • Surd calculations
7 pages 18 min read
F H

Expanding & Factorising

Learn to expand brackets and factorise expressions with confidence.

What's Included:
  • Expanding single brackets
  • Expanding double brackets
  • Factorising expressions
  • Difference of two squares
  • Factorising quadratics
8 pages 20 min read
F H

Solving Equations

Master techniques for solving linear, simultaneous, and quadratic equations.

What's Included:
  • Linear equations
  • Equations with brackets
  • Equations with fractions
  • Simultaneous equations
  • Quadratic equations
10 pages 25 min read
H

Functions & Transformations

Understand function notation and graph transformations for Higher tier.

What's Included:
  • Function notation
  • Composite functions
  • Inverse functions
  • Graph transformations
  • Sketching graphs
9 pages 22 min read
F H

Angles & Properties of Shapes

Learn angle rules and properties of polygons for accurate geometry.

What's Included:
  • Angle facts & rules
  • Parallel lines
  • Angles in polygons
  • Properties of quadrilaterals
  • Bearings
7 pages 18 min read
F H

Perimeter, Area & Volume

Calculate perimeter, area, surface area, and volume of all shapes.

What's Included:
  • Perimeter & area formulas
  • Circles & sectors
  • Compound shapes
  • Volume of 3D shapes
  • Surface area
11 pages 28 min read
H

Circle Theorems

Master all circle theorems required for GCSE Higher tier mathematics.

What's Included:
  • Angles in circles
  • Tangent properties
  • Chord properties
  • Cyclic quadrilaterals
  • Alternate segment theorem
8 pages 20 min read
F H

Averages & Range

Calculate and interpret mean, median, mode, and range from data sets.

What's Included:
  • Finding mean, median, mode
  • Range and spread
  • Grouped data averages
  • Estimating the mean
  • Comparing distributions
6 pages 15 min read
F H

Charts & Graphs

Interpret and draw all types of statistical charts and graphs.

What's Included:
  • Bar charts & pictograms
  • Pie charts
  • Line graphs
  • Histograms
  • Frequency polygons
9 pages 22 min read
F H

Probability Basics

Understand probability scales, outcomes, and simple probability calculations.

What's Included:
  • Probability scale (0 to 1)
  • Sample spaces
  • Expected frequency
  • Experimental probability
  • Relative frequency
5 pages 12 min read

GCSE Maths Formula Sheet

Download our comprehensive formula sheet with all the key formulas you need to memorize for your GCSE Maths exams. Color-coded by topic for easy reference.

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