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Statistics
Probability
Trigonometry
Angles and geometry
Shapes and area
Ratio proportion and rates of change
Graphs
Algebra
Number
121 Lessons
726 Exercises
Statistics
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Sets and Venn diagrams
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Sampling and bias
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Collecting data: types and classes of data
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Mean, median, mode and range
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Simple charts and graphs
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Pie charts
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Scatter graphs
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Frequency tables: finding averages
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Grouped frequency tables
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Box plots - Higher
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Cumulative frequency - Higher
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Histograms and frequency density - Higher
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Interpreting data
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Comparing data sets
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Probability
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Basics of probability
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Calculating theoretical probabilities
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Probability: Expected and relative frequency
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The AND / OR rules
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Probability tree diagrams
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Conditional probability - Higher
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Experimental probability: frequency trees
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Trigonometry
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Pythagoras' theorem
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Sin, cos, tan
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Trigonometry: Finding angles and sides
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Exact trigonometric values
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Sine and cosine rules - Higher
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3D Pythagoras - Higher
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3D Trigonometry - Higher
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Vectors
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Vectors - Higher
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Angles and geometry
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Angles: types, notation and measuring
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Basic angle rules
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Angles in parallel lines
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Circle theorems - Higher
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Constructing triangles: SSS, SAS, ASA
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Construction: angle and perpendicular bisectors
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Construction: Loci
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Bearings
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Maps and scale drawings
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Shapes and area
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Properties of 2D shapes
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Congruence: conditions for congruent triangles
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Similar shapes: Scaling
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The four transformations
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Area and perimeter: Formulae
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Area and circumference of circles: Formulae
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3D shapes: faces, edges, vertices
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Surface area of 3D shapes: Nets, formulae
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Volume of 3D shapes: Formulae
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Volume of 3D shapes: Comparing, rates of flow
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Area and volume scale factors
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Projections and elevations of 3D shapes
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Ratio proportion and rates of change
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Ratio
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Direct and inverse proportion
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Finding percentages and percentage change
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Compound growth and decay
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Converting units: metric and imperial
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Converting units: area and volume
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Time intervals: converting units of time
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Speed, density and pressure: Formulae and units
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Graphs
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Coordinates and midpoints
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Straight line graphs
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Drawing straight line graphs
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Finding the gradient of a straight line
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Equation of a straight line: y = mx + c
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Coordinates and ratio
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Parallel and perpendicular lines
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Quadratic graphs
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Reciprocal and cubic graphs
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Exponential graphs and circles - Higher
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Trigonometric graphs - Higher
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Solving equations using graphs
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Graph transformations - Higher
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Real-life graphs
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Distance-time graphs
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Velocity-time graphs - Higher
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Gradients of real-life graphs - Higher
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Algebra
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Simplifying algebraic expressions
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Multiplying and dividing algebraic expressions
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Single brackets: Expanding and factorising
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Double brackets: Expanding and factorising
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Double and triple brackets - Higher
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Solving equations
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Expressions, equations, formulae, functions and identities
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Writing formulae and equations from word problems
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Writing formulae and equations from diagrams
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Rearranging formulae
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Factorising quadratics
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The quadratic formula - Higher
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Complete the square - Higher
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Algebraic fractions - Higher
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Sequences
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Finding the nth term
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Solving inequalities
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Inequalities on graphs - Higher
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Iteration - Higher
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Simultaneous equations: elimination and substitution
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Non-linear simultaneous equations - Higher
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Algebraic proof - Higher
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Composite and inverse functions - Higher
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Number
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Types of numbers
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Order of operations: BODMAS
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Multiplying and dividing by powers of 10
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Multiplying and dividing whole numbers
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Multiplying and dividing decimals
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Negative numbers: add, subtract, multiply, divide
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Prime numbers and prime factorisation
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Multiples, factors and prime factors
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LCM and HCF
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Fractions
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Fractions, decimals and percentages
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Writing recurring decimals as fractions
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Rounding: Integers, decimal places, significant figures
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Estimation
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Error intervals
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Upper and lower bounds - Higher
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Powers and roots: Square and cube numbers
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Laws of indices: multiply, divide, brackets
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Index laws: negative and fractional indices - Higher
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Surds: Simplify, add and subtract - Higher
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Rationalising surds - Higher
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Standard form calculations
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Popular Chapters in All Year Groups
Fractions
Algebra
Statistics
Multiplication and division
Measurement
Trigonometry
Graphs
Geometry - properties of shapes
Probability
Shapes and area
Differentiation I
Exponentials and logarithms
Formulae and equations
Functions
Addition and subtraction
Integration I
Vectors I
Beta
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