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Types of Number and BODMAS
- Multiples, Factors and Prime Factors
- LCM and HCF
- Fractions
- Fractions, Decimals and Percentages
- Fractions and Recurring Decimals
- Rounding Numbers
- Estimating
- Bounds
- Standard Form
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Section Two — Algebra
- Algebra Basics
- Powers and Roots
- Multiplying Out Brackets
- Factorising
- Manipulating Surds
- Solving Equations
- Rearranging Formulas
- Factorising Quadratics
- The Quadratic Formula
- Completing the Square
- Algebraic Fractions
- Sequences
- Inequalities
- Graphical Inequalities
- Iterative Methods
- Simultaneous Equations
- Proof
- Functions
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Section Three — Graphs
- Straight Lines and Gradients
- y = mx + c
- Drawing Straight Line Graphs
- Coordinates and Ratio
- Parallel and Perpendicular Lines
- Quadratic Graphs
- Harder Graphs
- Solving Equations Using Graphs
- Graph Transformations
- Real-Life Graphs
- Distance-Time Graphs
- Velocity-Time Graphs
- Gradients of Real-Life Graphs
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Section Four — Ratio, Proportion and Rates of Change
- Ratios
- Direct and Inverse Proportion
- Percentages
- Compound Growth and Decay
- Unit Conversions
- Speed, Density and Pressure
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Section Five — Geometry and Measures
- Geometry
- Parallel Lines
- Geometry Problems
- Polygons
- Triangles and Quadrilaterals
- Circle Geometry
- Congruent Shapes
- Similar Shapes
- The Four Transformations
- Area — Triangles and Quadrilaterals
- Area — Circles
- 3D Shapes — Surface Area
- 3D Shapes — Volume
- More Enlargements and Projections
- Triangle Construction
- Loci and Construction
- Loci and Construction — Worked Examples
- Bearings
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Section Six — Pythagoras and Trigonometry
- Pythagoras’ Theorem
- Trigonometry — Sin, Cos, Tan
- Trigonometry — Examples
- Trigonometry — Common Values
- The Sine and Cosine Rules
- 3D Pythagoras
- 3D Trigonometry
- Vectors
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Section Seven — Probability and Statistics
- Probability Basics
- Counting Outcomes
- Probability Experiments
- The AND / OR Rules
- Tree Diagrams
- Conditional Probability
- Sets and Venn Diagrams
- Sampling and Data Collection
- Mean, Median, Mode and Range
- Frequency Tables — Finding Averages
- Grouped Frequency Tables
- Box Plots
- Cumulative Frequency
- Histograms and Frequency Density
- Scatter Graphs
- Other Graphs and Charts
- Comparing Data Sets
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