GCSE - Higher level Maths
These topics have been ordered so that the most common ones are at the top of each list
- Numerical Problems - Money
- Percentages - Percentage change
- Ratio - Application of ratio
- Percentages - Finding a Percentage
- Calculation - Four operations
- Standard Form
- Numerical Problems - Measures
- Calculation - Rounding and Estimation
- Surds
- Ratio - Proportional Division
- Harder Indices
- Decimals - Multiply & Divide
- Percentages - Reverse %
- Calculation - Using a Calculator
- Fractions
- Factors; Multiples; Primes
- Rules of Indices
- HCF; LCM; Prime Factors
- Equations - Linear
- Equations - Quadratic
- Simplifying - Brackets
- Simplifying - Factorising
- Formulae - Substitution
- Graphs - Straight line
- Formulae - Changing the Subject
- Simplifying - Algebraic Fractions
- Graphs - Quadratic functions
- Simplifying - Collecting like terms
- Equations - Simultaneous (Elimation)
- Sequences
- Graphs - Real life
- Inequalities and Regions
- Transformation of Functions
- Formulae - Generating Formulae
- Proportion - Direct and Inverse
- Inequalities - Simple Linear
- Equations - Trial and Improvement
- Equations - Simultaneous (Substitution)
- Graphs - Perpendicular lines
- Graphs - Cubic, Reciprocal & Others
- Area and Perimeter
- Circle Theorems
- Volume
- Pythagoras and Trigonometry
- Properties of Quadrilaterals
- Congruency and Similariity
- Angles - Simple Calcs
- Sine and Cosine Rules
- 3D Shapes and Representations
- Transformations - Roatation, Reflection & Translation
- Vectors
- Compound Measures (Speed/Density)
- Properties of Triangles
- Scale Drawing and Construction
- Properties of other Polygons
- Transformations - Enlargement
- Angles - Parallel lines
- Angles - Bearings
- Units and Conversions
- Locus problems
- Using Scales
- Graphs-Sine and Cosine
- Probability Tree Diagrams - Independent events
- Averages and Range
- Sampling and Collecting Data
- Cumulative Frequency and Box Plots
- Histograms
- Probabitilty Tree Diagrams - Conditional events
- Compare Distributions
- Probability - Relative Frequency
- Probability - Expectation
- Probability Sums to 1
- Scatter graphs and Correlation
- Sttem and Leaf Diagrams
- Frequency Polygons
- Pie Charts