The GCSE (Edexcel) higher-tier content can be organised into five topics. Use the buttons below to jump to each section on this page.

We have curated practice questions, videos and solutions to support your revision. This page is an aid, not a complete syllabus. For full coverage, always check the official GCSE specification.

Number

Topic PapersSolutionsVideo SolutionsLearn
Place ValueSolutionsVideoLearn
Adding, Subtracting, Multiplying & DividingSolutionsVideoLearn
Ordering Decimals & IntegersSolutionsVideoLearn
Rounding (Integers, Decimals & Significant Figures)SolutionsVideo Learn
Using Inequality Symbols: =, ≠, <, >, ≤, ≥SolutionsVideoLearn
Estimation and ApproximationsSolutionsVideoLearn
Error Intervals & Bounds (Upper & Lower Bounds)SolutionsVideoLearn
Applying Upper and Lower BoundsSolutionsVideoLearn
Product of Prime NumbersSolutionsVideoLearn
HCF & LCM (Highest Common Factor & Lowest Common Multiple)SolutionsVideoLearn
Mean, Median, Mode and RangeSolutionsVideoLearn
FractionsSolutionsVideoLearn
DecimalsSolutionsVideoLearn
PercentagesSolutionsVideoLearn
Converting Between Fractions, Decimals & PercentagesSolutionsVideoLearn
Recurring Decimals to FractionsSolutionsVideoLearn
Negative NumbersSolutionsVideoLearn
Standard FormSolutionsVideoLearn
BIDMAS (Order of Operations)SolutionsVideoLearn
Indices
SolutionsVideoLearn
SurdsSolutionsVideoLearn
Ratio & Proportion
SolutionsVideoLearn
Direct & Inverse ProportionSolutionsVideoLearn

Geometry and Measures

TopicsSolutionsVideo SolutionsLearn This Topic
Properties of AnglesSolutionsVideoLearn
Angles in Parallel LinesSolutionsVideo Learn
Angles in PolygonsSolutionsVideo Learn
CongruenceSolutionsVideoLearn
SimilaritySolutionsVideoLearn
Angles in TrianglesSolutionsVideoLearn
Perimeter, Area of 2D shapes
SolutionsVideoLearn
Surface Area and Volume of PrismsSolutionsVideoLearn
Surface Area and Volume of CylindersSolutionsVideoLearn
Surface Area and Volume of SpheresSolutionsVideoLearn
Surface Area and Volume of ConesSolutionsVideoLearn
Surface Area and Volume of PyramidsSolutionsVideoLearn
Circle TheoremsSolutionsVideoLearn
Arc length and Sector Area of a circleSolutionsVideoLearn
Constructions & LociSolutionsVideoLearn
Pythagoras’ TheoremSolutionsVideoLearn
Trigonometry (SOHCAHTOA)SolutionsVideoLearn
Exact Trigonometric ValuesSolutionsVideoLearn
Sine RuleSolutionsVideoLearn
Cosine RuleSolutionsVideoLearn
Area of a Triangle using Sine - 1/2abSincSolutionsVideoLearn
Translations, Rotations, Reflections & EnlargementsSolutionsVideoLearn
VectorsSolutionsVideoLearn
Equations of LinesSolutionsVideoLearn
Midpoints & Line SegmentsSolutionsVideoLearn
Equation of a CircleSolutionsVideoLearn
BearingsSolutionsVideoLearn

Algebra

TopicsSolutionsVideo SolutionsLearn This Topic
Simplifying Algebraic Expressions
SolutionsVideoLearn
Collecting Like TermsSolutionsVideo Learn
Changing the subject of the formulaSolutionsVideoLearn
Expanding and Factorising Single BracketsSolutionsVideoLearn
Expanding Double BracketsSolutionsVideo Learn
Expanding Triple BracketsSolutionsVideoLearn
Factorising Quadratics
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Factorising Quadratics a>1
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Completing the SquareSolutionsVideoLearn
Solving Quadratic Equations (Factorising, Completing the Square & Quadratic Formula)SolutionsVideoLearn
Simultaneous Equations (Linear & Quadratic)SolutionsVideoLearn
Solving Simultaneous Equations graphically SolutionsVideoLearn
Rearranging FormulaeSolutionsVideoLearn
Changing the Subject of a FormulaSolutionsLearn
Nth Term of Linear SequencesSolutionsVideoLearn
Nth Term of Quadratic SequencesSolutionsVideoLearn
Linear GraphsSolutionsVideoLearn
Quadratic GraphsSolutionsVideoLearn
Cubic GraphsSolutionsVideoLearn
Reciprocal GraphsSolutionsVideoLearn
Exponential GraphsSolutionsVideoLearn
Trigonometric GraphsSolutionsVideoLearn
Equation of a Straight Line ( Parallel & Perpendicular Lines)SolutionsVideoLearn
Real-Life Graphs
SolutionsVideoLearn
Graph TransformationsSolutionsVideoLearn
Inequalities - Solving & Graphing SolutionsVideoLearn
Algebraic Proof
SolutionsVideoLearn
IterationSolutionsVideoLearn

Ratio, Proportion & Rates of Change

TopicsSolutionsVideo SolutionsLearn This Topic
Ratios & Ratio ProblemsSolutionsVideo Learn
Proportion (Direct & Inverse)
SolutionsVideo Learn
Percentage Change
SolutionsVideoLearn
Repeated Percentage ChangeSolutionsVideoLearn
Reverse PercentagesSolutionsVideoLearn
Compound Interest & DepreciationSolutionsVideoLearn
Growth & Decay SolutionsVideoLearn
SpeedSolutionsVideoLearn
DensitySolutionsVideoLearn
PressureSolutionsVideoLearn
Simple InterestSolutionsVideoLearn
Compound InterestSolutionsVideoLearn
Interpreting Real-Life Graphs SolutionsVideoLearn
Graphs of Rates of ChangeSolutionsVideoLearn

Statistics & Probability

TopicsSolutionsVideo SolutionsLearn This Topic
Probability Basics SolutionsVideo Learn
Experimental vs Theoretical ProbabilitySolutionsVideo Learn
Venn Diagrams & Set NotationSolutionsVideoLearn
Probability Tree Diagrams (Independent & Dependent Events)SolutionsVideoLearn
Two-Way Tables
Conditional ProbabilitySolutionsVideoLearn
Types of Data & Sampling MethodsSolutionsVideoLearn
Representing Data (Bar Charts, PieCharts, Line Graphs)SolutionsVideoLearn
Histograms SolutionsVideoLearn
Cumulative FrequencySolutionsVideoLearn
Box Plots SolutionsVideoLearn
Scatter Graphs & CorrelationSolutionsVideoLearn