GCSE Maths Topics List
GCSE Maths topics list by grade 9-1 and tiers Foundation and Higher. Type in the grade or the topic you are searching for in the search box. You can use this as your GCSE Maths revision checklist too. If you are targetting a certain grade in your GCSE Maths exam then you can search the grade then copy the topics over to your preferred document. You can also search the topics by tiers, Founadation and Higher GCSE Maths.
| Topic | Category | Grade | Tier |
|---|---|---|---|
| Place Value | Number | 1 | Foundation |
| Ordering Integers (Whole Numbers) | Number | 1 | Foundation |
| Ordering Decimals | Number | 1 | Foundation |
| Reading Scales | Number | 1 | Foundation |
| Coordinates | Algebra | 1 | Foundation |
| Polygons | Geometry | 1 | Foundation |
| The Probability Scale | Probability | 1 | Foundation |
| Tally Charts | Probability | 1 | Foundation |
| Bar Charts | Probability | 1 | Foundation |
| Pictograms | Probability | 1 | Foundation |
| Adding Integers and Decimals | Number | 2 | Foundation |
| Subtracting Integers and Decimals | Number | 2 | Foundation |
| Multiplying Integers (Whole Numbers) | Number | 2 | Foundation |
| Dividing Integers (Whole Numbers) | Number | 2 | Foundation |
| Shade Fraction of a Shape | Number | 2 | Foundation |
| Equivalent Fractions | Number | 2 | Foundation |
| Simplifying Fractions | Number | 2 | Foundation |
| Half-Way Values | Number | 2 | Foundation |
| Factors | Number | 2 | Foundation |
| Multiples | Number | 2 | Foundation |
| Primes | Number | 2 | Foundation |
| Introduction to Powers/Indices | Number | 2 | Foundation |
| Ordering Fractions | Number | 2 | Foundation |
| Multiplying and Dividing by Powers of Ten | Number | 2 | Foundation |
| Rounding to the Nearest Ten, Hundred and Thousand | Number | 2 | Foundation |
| Rounding to Decimal Places | Number | 2 | Foundation |
| Function Machines | Algebra | 2 | Foundation |
| Generating a Sequence | Algebra | 2 | Foundation |
| Ratio (Introduction) | Ratio | 2 | Foundation |
| Percentage (Introduction) | Ratio | 2 | Foundation |
| Proportion (Introduction) | Ratio | 2 | Foundation |
| Angles on a Line | Geometry | 2 | Foundation |
| Angles at a Point | Geometry | 2 | Foundation |
| Measuring Angles | Geometry | 2 | Foundation |
| Drawing Angles | Geometry | 2 | Foundation |
| Transformation - Reflections | Geometry | 2 | Foundation |
| Transformation - Rotations | Geometry | 2 | Foundation |
| Transformation - Translations | Geometry | 2 | Foundation |
| Plans and Elevations | Geometry | 2 | Foundation |
| Perimeters | Geometry | 2 | Foundation |
| Area of a Rectangle | Geometry | 2 | Foundation |
| Area of a Triangle | Geometry | 2 | Foundation |
| Area of a Parallelogram | Geometry | 2 | Foundation |
| Area of a Trapezium | Geometry | 2 | Foundation |
| Frequency Trees and Probability | Probability | 2 | Foundation |
| Probability Listing Outcomes | Probability | 2 | Foundation |
| Calculating Probabilities | Probability | 2 | Foundation |
| Probability Mutually Exclusive Events | Probability | 2 | Foundation |
| Two-Way Tables | Probability | 2 | Foundation |
| Mean | Probability | 2 | Foundation |
| Median | Probability | 2 | Foundation |
| Mode | Probability | 2 | Foundation |
| Range | Probability | 2 | Foundation |
| Multiplying Decimals | Number | 3 | Foundation/Higher |
| Dividing Decimals | Number | 3 | Foundation/Higher |
| Negatives Numbers - Adding and Subtracting | Number | 3 | Foundation/Higher |
| Negatives - Multiplying and Dividing | Number | 3 | Foundation/Higher |
| Comparing Fractions | Number | 3 | Foundation/Higher |
| Finding a Fraction of an Amount | Number | 3 | Foundation/Higher |
| Fractions 4 operations (Adding, subtrcating, multiplying & dividing) | Number | 3 | Foundation/Higher |
| BIDMAS | Number | 3 | Foundation/Higher |
| Reciprocals | Number | 3 | Foundation/Higher |
| Product of Primes | Number | 3 | Foundation/Higher |
| Highest Common Factor (HCF) | Number | 3 | Foundation/Higher |
| Lowest Common Multiple (LCM) | Number | 3 | Foundation/Higher |
| Squares, Cubes and Roots | Number | 3 | Foundation/Higher |
| Indices | Number | 3 | Foundation/Higher |
| Standard Form | Number | 3 | Foundation/Higher |
| Fractions and Decimals | Number | 3 | Foundation/Higher |
| Fractions, Decimals, Percentages | Number | 3 | Foundation/Higher |
| Percentage of an Amount (Calculator) | Number | 3 | Foundation/Higher |
| Percentage of an Amount (Non-Calculator) | Number | 3 | Foundation/Higher |
| Change to a Percentage (Calculator) | Number | 3 | Foundation/Higher |
| Change to a Percentage (Non-Calculator) | Number | 3 | Foundation/Higher |
| Rounding to Significant Figures | Number | 3 | Foundation/Higher |
| Estimating | Number | 3 | Foundation/Higher |
| Expanding Brackets (Single Brackets) | Algebra | 3 | Foundation/Higher |
| Simple Factorisation (Single Brackets) | Algebra | 3 | Foundation/Higher |
| Substitution | Algebra | 3 | Foundation/Higher |
| Straight Line Graphs | Algebra | 3 | Foundation/Higher |
| The Gradient of a Line | Algebra | 3 | Foundation/Higher |
| Solving Equations | Algebra | 3 | Foundation/Higher |
| Changing the Subject of a Formula | Algebra | 3 | Foundation/Higher |
| Generating a Sequences | Algebra | 3 | Foundation/Higher |
| Finding the nth Term of a Sequence | Algebra | 3 | Foundation/Higher |
| Currency Exchange | Ratio | 3 | Foundation/Higher |
| Ratio (Sharing) | Ratio | 3 | Foundation/Higher |
| Percentage Increase & Decrease | Ratio | 3 | Foundation/Higher |
| Percentage Change | Ratio | 3 | Foundation/Higher |
| Reverse Percentage | Ratio | 3 | Foundation/Higher |
| Simple Interest | Ratio | 3 | Foundation/Higher |
| Metric Conversions | Geometry | 3 | Foundation/Higher |
| Surface Area of a Prism (Cuboids and Triangular Prisms) | Geometry | 3 | Foundation/Higher |
| Volume of a Cuboid | Geometry | 3 | Foundation/Higher |
| Parts of a Circle | Geometry | 3 | Foundation/Higher |
| Area of a Circle | Geometry | 3 | Foundation/Higher |
| Circumference or Perimeter of a Circle | Geometry | 3 | Foundation/Higher |
| Volume of a Prism | Geometry | 3 | Foundation/Higher |
| Angles in Parallel Lines | Geometry | 3 | Foundation/Higher |
| Angles in a Triangle | Geometry | 3 | Foundation/Higher |
| Special Triangles (Properties) | Geometry | 3 | Foundation/Higher |
| Angle of Polygons | Geometry | 3 | Foundation/Higher |
| Bearings | Geometry | 3 | Foundation/Higher |
| Experimental Probabilities | Probability | 3 | Foundation/Higher |
| Venn Diagrams | Probability | 3 | Foundation/Higher |
| Pie Charts | Probability | 3 | Foundation/Higher |
| Stem and Leaf Diagrams | Probability | 3 | Foundation/Higher |
| Scatter Diagrams | Probability | 3 | Foundation/Higher |
| Averages from a table - Mode and Median | Probability | 3 | Foundation/Higher |
| Averages from a table - Estimate for the Mean | Probability | 3 | Foundation/Higher |
| Index Notation | Number | 4 | Foundation/Higher |
| Bounds Introduction | Number | 4 | Foundation/Higher |
| Midpoint of a Line on a Graph | Algebra | 4 | Foundation/Higher |
| Expanding Single Brackets | Algebra | 4 | Foundation/Higher |
| Expanding and Simplifying Double Brackets | Algebra | 4 | Foundation/Higher |
| Solving Equations | Algebra | 4 | Foundation/Higher |
| Rearranging Formulae and Equations | Algebra | 4 | Foundation/Higher |
| Forming Equations | Algebra | 4 | Foundation/Higher |
| Inequalities on a Number Line | Algebra | 4 | Foundation/Higher |
| Solving Linear Inequalities | Algebra | 4 | Foundation/Higher |
| Simultaneous Equations Graphically | Algebra | 4 | Foundation/Higher |
| Similar Shapes | Ratio | 4 | Foundation/Higher |
| Pythagoras' Theorem | Geometry | 4 | Foundation/Higher |
| Tree Diagrams (Basic) | Probability | 4 | Foundation/Higher |
| Negative Indices | Number | 5 | Foundation/Higher |
| Error Intervals | Number | 5 | Foundation/Higher |
| Factorising and Solving Quadratics | Algebra | 5 | Foundation/Higher |
| The Difference of Two Squares | Algebra | 5 | Foundation/Higher |
| Finding the Equation of a Straight Line using y=mx+c | Algebra | 5 | Foundation/Higher |
| Equation of a Straight Line | Algebra | 5 | Foundation/Higher |
| Roots and Turning Points of Quadratics Graphs | Algebra | 5 | Foundation/Higher |
| Cubic and Reciprocal Graphs | Algebra | 5 | Foundation/Higher |
| Simultaneous Equations | Algebra | 5 | Foundation/Higher |
| Geometric Progressions | Algebra | 5 | Foundation/Higher |
| Compound Interest and Depreciation | Ratio | 5 | Foundation/Higher |
| Congruent triangles | Geometry | 5 | Foundation/Higher |
| Sectors of a Circle | Geometry | 5 | Foundation/Higher |
| Trigonometry | Geometry | 5 | Foundation/Higher |
| Spheres | Geometry | 5 | Foundation/Higher |
| Pyramids | Geometry | 5 | Foundation/Higher |
| Cones | Geometry | 5 | Foundation/Higher |
| Frustums | Geometry | 5 | Foundation/Higher |
| Exact Trigonometric Values | Geometry | 5 | Foundation/Higher |
| Vectors - Introduction | Geometry | 5 | Foundation/Higher |
| Advanced Tree Diagrams | Probability | 5 | Foundation/Higher |
| Stratified sampling | Probability | 5 | Foundation/Higher |
| Recurring Decimals to Fractions | Number | 6 | Higher |
| Product of Three Binomials (Expanding Triple Brackets) | Algebra | 6 | Higher |
| Iteration (Trial and Improvement) | Algebra | 6 | Higher |
| Enlargement - Negative Scale Factor - Using Construction Lines and Column vectors | Geometry | 6 | Higher |
| Transformations (Combined) | Geometry | 6 | Higher |
| Circle Theorems | Geometry | 6 | Higher |
| Proof of Circle Theorems | Geometry | 6 | Higher |
| Probability - Venn Diagrams | Probability | 6 | Higher |
| Cumulative Frequency | Probability | 6 | Higher |
| Boxplots | Probability | 6 | Higher |
| Fractional Indices | Number | 7 | Higher |
| Recurring Decimals | Number | 7 | Higher |
| Rearranging difficult Formulae | Algebra | 7 | Higher |
| Solving Quadratics with the quadratic Formula | Algebra | 7 | Higher |
| Factorising Hard Quadratic Expressions | Algebra | 7 | Higher |
| Algebraic Proof | Algebra | 7 | Higher |
| Equation of a Circle | Algebra | 7 | Higher |
| Direct and Inverse Proportion | Ratio | 7 | Higher |
| Similarity (Area and Volume) | Geometry | 7 | Higher |
| Advanved Trigonometry - The Sine Rule | Geometry | 7 | Higher |
| Advanved Trigonometry - The Cosine Rule | Geometry | 7 | Higher |
| Advanved Trigonometry - Area of a Triangle Using Sine | Geometry | 7 | Higher |
| Probability (And and Or) | Probability | 7 | Higher |
| Histograms | Probability | 7 | Higher |
| Upper and Lower Bounds | Number | 8/9 | Higher |
| Simplifying Surds | Number | 8/9 | Higher |
| Rationalising the Denominator | Number | 8/9 | Higher |
| Perpendicular Lines | Algebra | 8/9 | Higher |
| Completing the Square | Algebra | 8/9 | Higher |
| Simplifying Algebraic Fractions | Algebra | 8/9 | Higher |
| Solving Algebraic Fractions | Algebra | 8/9 | Higher |
| Quadratic Simultaneous Equations | Algebra | 8/9 | Higher |
| Quadratic Inequalites Solving | Algebra | 8/9 | Higher |
| Finding the nth Term of a Quadratic Sequence | Algebra | 8/9 | Higher |
| Inverse Functions | Algebra | 8/9 | Higher |
| Composite Functions | Algebra | 8/9 | Higher |
| Interpreting Graphs - Velocity-time graphs & Rate of Change | Algebra | 8/9 | Higher |
| Pythagoras 3D | Geometry | 8/9 | Higher |
| Trigonometry | Geometry | 8/9 | Higher |
| Vectors | Geometry | 8/9 | Higher |