GCSE Maths
Key Stage 4, Foundation and Higher.
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Topics
Topics marked Higher aren't in Foundation.
1 Number 12 topics
- Ordering and Calculating with Number
- Factors, Multiples and Prime Factorisation
- Listing Strategies and Counting
- Powers, Roots and Indices
- Surds Higher
- Standard Form
- Fractions, Decimals and Percentages
- Recurring Decimals Higher
- Fractions in Ratio Problems
- Measures and Compound Measures
- Rounding, Estimation and Error Intervals
- Upper and Lower Bounds Higher
2 Algebra 21 topics
- Algebraic Notation and Substitution
- Simplifying Expressions
- Expanding and Factorising
- Algebraic Fractions Higher
- Formulae and Rearranging
- Proof and Algebraic Reasoning
- Functions, Inverse Functions and Composite Functions
- Coordinates and Straight Line Graphs
- Quadratic, Cubic and Reciprocal Graphs
- Exponential and Trigonometric Graphs Higher
- Transforming Graphs Higher
- Real-Life Graphs and Graph Interpretation
- Circle Graphs and Tangents Higher
- Linear Equations
- Quadratic Equations
- Simultaneous Equations
- Iteration Higher
- Forming and Solving Equations
- Inequalities
- Sequences
- Quadratic and Geometric Sequences Higher
3 Ratio, Proportion & Rates of Change 10 topics
- Units and Conversions
- Ratio and Proportion
- Dividing in a Ratio
- Ratio in Context
- Percentages and Percentage Change
- Direct and Inverse Proportion
- Compound Units
- Scale Factors and Similarity
- Rates of Change
- Growth, Decay and Iteration
4 Geometry & Measures 20 topics
- Geometric Language and Constructions
- Angles, Parallel Lines and Polygons
- Properties of Shapes
- Congruence, Similarity and Transformations
- Combined Transformations Higher
- Circle Properties
- Circle Theorems Higher
- Coordinate Geometry
- Plans and Elevations
- Perimeter, Area and Volume
- Circles, Sectors and Arc Length
- Surface Area and Volume of Solids
- Similarity in Area and Volume Higher
- Pythagoras' Theorem
- Right-Angled Trigonometry
- Trigonometry in 3D and General Triangles Higher
- Exact Trigonometric Values
- Sine Rule, Cosine Rule and Triangle Area Higher
- Vectors
- Vector Proof Higher
5 Probability 6 topics
- Probability Basics
- Experimental and Theoretical Probability
- Sample Spaces and Listing Methods
- Tree Diagrams and Venn Diagrams
- Combined Events
- Conditional Probability Higher
6 Statistics 6 topics
- Sampling
- Tables, Charts and Graphs
- Histograms and Cumulative Frequency Higher
- Averages and Spread
- Box Plots and Quartiles Higher
- Scatter Graphs and Correlation
Exam papers
- Two exam-style papers for every topic
- Two topic exams for each chapter in each tier, an hour each
- Three mock papers in each tier, 1 hour 30 minutes each: Paper 1 without a calculator, Papers 2 and 3 with one.
- Topic exams and mock papers show the grade you're working at
- In all, over 1,600 exam-style questions in 180 papers
Free and paid
Practice
- Over 950 practice questions, with worked solutions
- Recap cards for every topic
- A formula book
- One topic exam to try in each tier: Algebra Topic Exam 1
Exam papers
- Every exam paper on this page
- Both tiers, and the KS3 papers
- Pay once, no subscription
Exam boards
Covers all of England's national GCSE Maths content, which is the same for AQA, Pearson Edexcel, OCR and Eduqas.
Mock papers are set out like a typical exam paper. Your board's papers may be arranged differently, but the maths is the same.
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