• Revision
    • Numeracy
      • Multiply & Divide
      • Connected
        Calculations
      • Fractions
      • Decimals
      • Percentages
      • Ratio
    • GCSE
      • Grade Levels
        • 1-4
        • 2-5
        • 3-6
        • 4-7
        • 5-8
        • 6-9
      • Formulae
      • Algebraic
        Manipulation
      • Data
      • Geometry
      • Graphs
      • Solving Quadratics
  • Number
    • Bidmas
      • 4 Operations
      • All
    • Decimals
      • Arithmetic:
        1 Digit
        • Adding
        • Subtracting
        • Adding & Subtracting
        • Multiplying
        • Dividing
        • Multiplying & Dividing
        • Mixed
      • Arithmetic:
        1 & 2 Digit
        • Adding
        • Subtracting
        • Adding & Subtracting
        • Multiplying
        • Dividing
        • Multiplying & Dividing
        • Multiplying & Dividing: 10, 100, 1000
        • Mixed
      • Equivalence
        • To Fractions
        • To Percentages
        • To Both
        • Recurring Decimals
          to Fractions
        • With Fractions
        • With Percentages
        • FDP
        • FDP Ordering
        • FDPR
      • Money
        • Calculator
        • Non-Calculator
        • Rates of Pay
      • Ordering
      • Place Value
      • Recurring
        • Ordering
        • Converting to
          Fractions
    • Directed Numbers
      • Arithmetic
        • Adding
        • Subtracting
        • Adding & Subtracting
        • Multiplying & Dividing
        • Mixed
        • Complex
      • Ordering
    • Equivalence
      • Converting Fractions
        • To Decimals
        • To Decimals:
          Calculator
        • To Percentages
        • To Percentages: Calculator
        • To Ratios
        • To All
        • With Decimals
        • With Percentages
        • With Ratios
        • With All
      • Converting Decimals
        • To Fractions
        • To Percentages
        • To Both
        • Recurring Decimals
          to Fractions
        • With Fractions
        • With Percentages
        • With Both
      • Converting Percentages
        • To Fractions
        • To Decimals
        • To Ratios
        • To All
        • With Fractions
        • With Decimals
        • With Ratios
        • With All
      • Converting Ratios
        • To Fractions
        • To Percentages
        • To Both
        • With Fractions
        • With Percentages
        • With Both
      • FDP
      • FDP Ordering
      • FPR
      • FDPR
    • Estimating &
      Rounding
      • Approximating Calculations
      • Estimating Roots
      • Estimation with
        Scale Drawings
      • Limits of Accuracy
        • Error Intervals
        • Calculations
      • Rounding
        • Decimal Places
        • Significant Figures
        • Whole Numbers
        • Mixed
    • Factors, Multiples & Primes
      • Prime Numbers
      • Multiples
      • Factors
      • Mixed
      • Prime Factorisation
      • HCF & LCM:
        Listing
        • HCF
        • LCM
        • Mixed
      • HCF & LCM:
        Prime Factorisation
        • HCF
        • LCM
        • Mixed
    • Fractions
      • Introduction
      • Arithmetic:
        Unit Fractions
        • Adding
        • Subtracting
        • Adding & Subtracting
        • Multiplying
        • Dividing
        • Multiplying & Dividing
        • With Integers
        • Mixed
      • Arithmetic:
        Non-Unit Fractions
        • Adding
        • Subtracting
        • Adding & Subtracting
        • Multiplying
        • Dividing
        • Multiplying & Dividing
        • With Cancelling
        • With Integers
        • Mixed
      • Equivalence
        • To Decimals
        • To Decimals:
          Calculator
        • To Percentages
        • To Percentages: Calculator
        • To Ratios
        • To All
        • With Decimals
        • With Percentages
        • With Ratios
        • FDP
        • FDP Ordering
        • FPR
        • FDPR
      • Equivalent Fractions
        • Simplifying
        • Comparing &
          Ordering
        • Comparing with
          Inequality Symbols
      • Expressing
        • Quantity
        • Change
      • Fraction of a Quantity
        • Unit Fractions
        • Non-Unit Fractions
        • Reverse
        • Increasing & Decreasing
        • FPR: Calculator
        • FPR: Non-Calculator
        • FPR: With
          Frequency trees
      • Mixed Numbers & Improper Fractions
        • Converting
          Mixed Numbers
        • Converting
          Improper Fractions
        • Converting: Mixed
        • Adding
        • Subtracting
        • Adding & Subtracting
        • Multiplying
        • Dividing
        • Multiplying & Dividing
        • Mixed Arithmetic
      • Mixed
      • Reciprocals
      • With a Calculator
    • Indices & Surds
      • Indices
        • Introduction
        • Square Numbers
        • Cube Numbers
        • Multiplying & Dividing
        • Negative
        • Fractional
        • Negative Fractional
        • With Brackets
        • Mixed
        • Equations
          with Indices
        • Reciprocals
      • Evaluating Roots
        • Estimating Roots
        • Square
        • Square & Cube
      • Mixed:
        Integer Values
      • Surds
        • Simplifying
        • Multiplying & Dividing
        • Adding & Subtracting
        • Expanding Brackets
        • Rationalising Denominators
        • Mixed
        • With Pythagoras
      • Mixed
    • Integers
      • Arithmetic:
        1 & 2 Digit
        • Adding
        • Subtracting
        • Adding & Subtracting
        • Multiplying
        • Dividing
        • Multiplying & Dividing
        • Mixed
      • Arithmetic:
        2 & 3 Digit
        • Adding
        • Subtracting
        • Adding & Subtracting
        • Multiplying
        • Dividing
        • Multiplying & Dividing
        • Multiplying & Dividing: 10, 100, 1000
        • Mixed
      • Place Value &
        Ordering
      • Real-Life:
        Including Money
        • Calculator
        • Non-Calculator
    • Measures
      • Compound
        • Area & Volume
          Conversion
        • Density, Mass & Volume
        • Human-Hours
        • Population Density
        • Pressure, Force &
          Area
        • Rates of Pay
        • Speed, Distance &
          Time
      • Measuring Lines
      • Money
        • Calculator
        • Non-Calculator
        • Rates of Pay
      • Reading Scales
      • Scale Drawings
      • Estimation with
        Scale Drawings
      • Systems of Measurement
        • Imperial
        • Metric
        • Mixed
        • Conversion Factors
        • Area & Volume
          Conversion
      • Time
        • Calculations
        • Converting
    • Standard Form
      • Calculations with Powers of 10
      • Adding & Subtracting
      • Multiplying & Dividing
        • Calculator
        • Non-Calculator
      • Converting
        • Ordinary to
          Standard Form
        • Standard Form to Ordinary
        • Mixed
    • Systematic Listing
    • Using a Calculator
      • Complex Calculations
      • Fractions
  • Proportion
    • Compound Measures
      • Area & Volume
        Conversion
      • Density, Mass & Volume
      • Human-Hours
      • Population Density
      • Pressure, Force &
        Area
      • Rates of Pay
      • Time
        • Calculations
        • Converting
      • Speed, Distance &
        Time
    • Direct & Inverse
      • Introduction
      • Direct
      • Inverse
      • Mixed
      • Identifying Graphs
    • Graphs
      • Identifying
        Proportional Graphs
      • Conversion Graphs
        • Reading
        • Plotting & Reading
      • Cost Relationships
        • Introduction
        • With Equations
      • Depth-Time
      • Distance-Time:
        Constant Speeds
        • Reading
        • Plotting & Reading
      • Distance-Time:
        Variable Speeds
      • Velocity-Time
        • Distance
        • Acceleration
        • Mixed
      • Mixed: Distance & Velocity
      • Volume-Time
    • Percentages:
      Calculator
      • Expressing
        • Fraction
        • Quantity
        • Change
      • Percentage of a
        Quantity
        • Integer
        • Decimal
        • Reverse
        • FPR of Quantities
      • Increase & Decrease
        • Increase
        • Decrease
        • Mixed
        • Simple Interest
        • Using a
          Multiplier
        • Reverse
      • Repeated
        Percentage Change
        • Increase &
          Compound Interest
        • Decrease
        • Increase & Decrease
        • Reverse
        • Mixed
      • Mixed
    • Percentages:
      Non-Calculator
      • Equivalence
        • To Fractions
        • To Decimals
        • To Ratios
        • To All
        • With Fractions
        • With Decimals
        • With Ratios
        • FDP
        • FDP Ordering
        • FPR
        • FDPR
      • Expressing
        • Fraction
        • Quantity
        • Change
      • Percentage of a Quantity
        • 10s
        • 5s
        • All
        • Reverse
        • FPR of Quantities
      • Increase & Decrease
        • Increase
        • Decrease
        • Mixed
        • Reverse
      • Mixed
    • Ratio
      • Equivalence
        • To Fractions
        • To Percentages
        • To Both
        • With Fractions
        • With Percentages
        • FPR
        • FDPR
      • Expressing
        • Division
        • Simplifying
      • Ratios & Quantities
        • Dividing Into a Ratio
        • Reverse
        • Mixed
        • With Line Segments
        • FPR: Calculator
        • FPR: Non-Calculator
        • FPR: With
          Frequency Trees
      • Manipulation
        • Comparing
        • Combining
        • Changing
      • Mixed
        • Foundation
        • Higher
    • Real-Life
      • Prices
        • Calculator
        • Non-Calculator
      • Best Buys
        • Calculator
        • Non-Calculator
      • Exchange Rates
      • Recipes
        • Calculator
        • Non-Calculator
  • Algebra
    • Introduction
      • Definitions
      • Notation
      • Forming Expressions
        • With Function Machines
        • Linear
      • Manipulating
        Formulae
    • Equations:
      Linear
      • Forming
        • Shapes, Angles
          & Real Life
        • With Function Machines
        • With Functions & Sequences
      • Variable on One Side: Calculator
        • 1-Step
        • 2-Step
        • 3-Step
        • Mixed
      • Variable on One Side: Non-Calculator
        • 1-Step
        • 2-Step
        • 3-Step
        • Mixed
      • With Brackets
        • Without Coefficients
        • With Coefficients
        • Multiple
      • Variable on Both Sides
        • Without Brackets
        • With Brackets
        • Graphical Intersections
        • With Parallel Lines
      • Rational
      • Mixed
      • Inequalities
      • With Functions
      • With Indices
    • Equations:
      Quadratic
      • Forming
      • Factorisation:
        Double Brackets
        • Without Coefficients
        • With Coefficients
      • b = 0
        • Rearranging
        • Difference of
          Two Squares
        • Mixed
      • c = 0
      • Completing the Square
      • Rational
        • Without Coefficients
        • With Coefficients
      • Quadratic Formula
      • Equations
        with No Solution
      • Mixed
      • Trial & Improvement
      • Iteration
      • By Intersection
      • Inequalities
    • Equations: Simultaneous
      • Forming
      • Elimination
        • Without Balancing
          Coefficients
        • With Balancing
          Coefficients
      • Substitution
      • Mixed
      • Graphically
      • Linear & Non-Linear
        • Algebraically
        • Graphically
    • Functions
      • Forming
        • Expressions
        • Simple Functions
        • Changing the Subject
          of a Formula
        • Composite
        • Inverse
        • Composite & Inverse
      • Evaluating
        • Simple Function Machines
        • Graphing
        • With Equations & Sequences
        • Linear
        • With Indices
        • Composite
        • Inverse
        • Composite & Inverse
        • Solving Equations
        • Iteration
    • Graphs: Abstract
      • Coordinates
        • Reading
        • Reading & Plotting
        • Midpoint & Endpoint
          of a Line
        • Line Segments & Ratio
        • Geometric Problems
        • With Pythagoras
      • Linear: Calculating
        • Functions & Graphs
        • Identifying
          Gradient & Intercept
        • Evaluating
          Coordinates
        • Evaluating
          Intersections
        • From Coordinates
        • Parallel
        • Perpendicular
        • Parallel & Perpendicular
        • Mixed
        • Identifying Graphs
      • Linear: Plotting
        • With Functions
        • With Sequences
        • Cover-Up Method
        • Gradient of a Line
        • Gradient-Intercept Method
        • Table of Values
          Method
        • Inequalities
        • Simultaneous Equations
      • Linear: Reading
        • Horizontal & Vertical
        • Gradient of a Line
        • Equation of a Line
        • Evaluating
          Intersections
        • Identifying
      • Linear: Mixed
      • Quadratic
        • Plotting
        • Significant Points
        • Turning Points by
          Completing the Square
        • Solving
          by Intersection
        • Simultaneous Equations
      • Circles
        • Equation
        • Tangent
      • Other Non-Linear
        • Plotting
        • Identifying:
          Non-Linear
        • Identifying: Proportional
        • Estimating Gradient
        • Exponential Functions
        • Trigonometric Functions
      • Transformations
    • Graphs: Real-Life
      • Conversion Graphs
        • Reading
        • Plotting & Reading
      • Cost Relationships
        • Introduction
        • With Equations
      • Depth-Time
      • Distance-Time:
        Constant Speeds
        • Reading
        • Plotting & Reading
      • Distance-Time:
        Variable Speeds
      • Velocity-Time
        • Distance
        • Acceleration
        • Mixed
      • Mixed: Distance & Velocity
      • Volume-Time
    • Inequalities
      • Linear
        • Forming
        • Evaluating
        • Representing
        • Solving :
          Single
        • Solving:
          Single & Double
        • Mixed
      • Graphical
      • Quadratic
      • Trial &
        Improvement
    • Manipulation
      • Notation
      • Algebraic Fractions
        • Adding & Subtracting
        • Multiplying & Dividing
        • Simplifying
        • Simplifying:
          With Factorisation
        • Rational: Difference
          of Two Squares
      • Changing the Subject
        of a Formula
        • Manipulating
          Formulae
        • Using a Function Machine
        • Without Factorisation
        • With Factorisation
      • Expanding Single Brackets
        • Without Coefficients
        • With Coefficients
        • With Indices
        • Multiple
        • Mixed
        • With Factorisation:
          Without Indices
        • With Factorisation:
          With Indices
      • Expanding Double & Triple Brackets
        • Double: Without Coefficients
        • Double: With Coefficients
        • With Factorisation
        • Squares
        • Triple
        • Mixed
        • With Surds
      • Factorising into
        Single Brackets
        • Without Indices
        • With Indices
        • With Expanding:
          Without Indices
        • With Expanding:
          With Indices
      • Factorising into
        Double Brackets
        • Quadratic
          Without Coefficients
        • Quadratic:
          With Coefficients
        • With Expanding
        • Completing the Square
        • Difference of Two Squares
        • Mixed
      • Forming
        Expressions
        • With Function Machines
        • Linear
        • Quadratic
      • Proofs
      • Simplifying
        Expressions
        • Adding
        • Adding:
          With Brackets
        • Adding:
          With Indices
        • Multiplying
        • Multiplying & Adding
        • Dividing
        • Multiplying & Dividing
        • Squared & Cubed
        • Mixed Arithmetic
        • With Negative &
          Fractional Indices
        • Rational:
          With Factorisation
        • Rational: Difference
          of Two Squares
        • Mixed: All
      • Mixed
        • Foundation
        • Higher
    • Sequences
      • Introduction
      • With Graphs
      • With Equations & Functions
      • Linear
      • Linear:
        Evaluating Terms
      • Quadratic
      • Linear & Quadratic
      • Geometric
      • Special
      • Mixed
    • Substitution
      • Using Symbols
        • Positive
        • Negative
        • Mixed
      • Without Indices
        • Positive
        • Negative
        • Mixed
      • With Indices
        • Positive
        • Negative
        • Mixed
      • With a Calculator
      • Vectors
  • Geometry
    • Angles
      • Angle Facts
        • Vocabulary
        • Around a Point
        • On Straight Lines
        • Vertically Opposite
        • Triangles
        • Mixed
      • Drawing & Measuring
        • Drawing
        • Measuring
        • Drawing & Measuring
        • Estimating
      • Circle Theorems
        • Vocabulary
        • Alternate Segment
        • At the Circumference
        • Cyclic Quadrilaterals
        • Tangents & Chords
        • With Pythagoras
        • Combined
        • Mixed
      • Parallel Lines
        • Introduction
        • Solving Equations
      • Polygons
        • Triangles
        • Regular
        • Irregular
        • Special Quadrilaterals
        • Mixed
      • Mixed
        • Without
          Circle Theorems
        • With
          Circle Theorems
    • Area & Perimeter
      • Circles
        • Vocabulary
        • Area
        • Area In Terms of π
        • Circumference
        • Area & Circumference
        • Arc Length
        • Sector Area
        • Arcs & Sectors
        • Mixed
      • Compound Shapes: Rectilinear
        • Area
        • Perimeter
        • Mixed
      • Compound Shapes:
        Polygonal
        • Area
        • Perimeter
        • Perimeter:
          With Pythagoras
      • Compound Shapes:
        With Circles
        • Area
        • Perimeter
        • Mixed
      • Quadrilaterals
        • Vocabulary
        • Rectangle:
          Area
        • Rectangle:
          Perimeter
        • Rectangle:
          Area & Perimeter
        • Parallelogram
        • Trapezium
      • Triangles
        • Area
        • Area Using Sine Rule
      • Mixed
        • Polygons
        • Polygons & Circles
    • Bearings
      • Cardinal Points
      • Measuring
      • Scale Drawings & Bearings
      • Calculating
      • With Trigonometry
    • Classifying &
      Vocabulary
      • Classifying Shapes
        • Diagonals
        • Symmetry
        • Quadrilaterals
        • 2D Shapes
      • Vocabulary
        • Angles
        • Circles
        • 2D Shapes
        • 3D Shapes
        • Sketching Diagrams
    • Construction
      • Angles
        • Drawing
        • Measuring
        • Drawing & Measuring
        • Estimating
      • Triangles
      • Bisectors
        • Line
        • Angle
        • Mixed
      • Loci
      • Bisectors & Loci
      • Nets
      • Plans & Elevations
      • Isometric Grids
      • Measuring Lines
      • Scale Drawings
      • Estimation with
        Scale Drawings
      • Scale Drawings & Bearings
      • Sketching Diagrams
    • Coordinates
      • Reading
      • Reading & Plotting
      • Midpoint & Endpoint
        of a Line
      • Line Segments & Ratio
      • Geometric Problems
      • With Pythagoras
    • Measures
      • Compound
        • Area & Volume
          Conversion
        • Density, Mass & Volume
        • Human-Hours
        • Population Density
        • Pressure, Force &
          Area
        • Rates of Pay
        • Speed, Distance &
          Time
      • Measuring Lines
      • Money
        • Calculator
        • Non-Calculator
        • Rates of Pay
      • Reading Scales
      • Scale Drawings
      • Estimation with
        Scale Drawings
      • Systems of Measurement
        • Imperial
        • Metric
        • Mixed
        • Conversion Factors
        • Area & Volume
          Conversion
      • Time
        • Calculations
        • Converting
    • Pythagoras
      • Introduction
      • Finding A or B
      • Finding A, B or C
      • Isosceles Triangles
      • Real-Life
      • 3D
      • Coordinates
      • Mixed
      • Shape Perimeters
      • With Surds
      • With Trigonometry
        • Trig. OR Pythag.
        • Trig. AND Pythag.
      • With Circle Theorems
    • Similarity
      • Area & Volume
        Conversion
      • Similar 2D Shapes
      • Similar Triangles
        • Abstract
        • Real-Life
      • Congruent Triangles
      • Length, Area & Volume
        Scale Factors
        • Length & Area
        • Length & Volume
        • Length, Area &
          Volume
      • Rotational Symmetry
    • Transformations
      • Enlargement
        • Positive
        • Negative
        • Fractional
        • Negative Fractional
        • Ray Method
        • Mixed: Foundation
        • Mixed: Higher
      • Reflection
      • Rotation
      • Symmetry
      • Rotational Symmetry
      • Translation
      • Invariant Points
      • Combined
      • Mixed
        • Foundation
        • Higher
    • Trigonometry
      • Introduction
      • Angles Between
        0° & 360°
      • Area of a Triangle
      • Choosing a Ratio
      • Sine & Cosine Ratios
        • Lengths
        • Angles
        • Mixed
      • Tangent Ratio
        • Lengths
        • Angles
        • Mixed
      • All Ratios
        • Lengths
        • Angles
        • Mixed
      • Isosceles Triangles
      • Real-Life
        • Elevation &
          Depression
        • Practical Problems
        • 3D
        • With Bearings
      • Sine & Cosine Rules
        • Sine Rule
        • Cosine Rule: Lengths
        • Cosine Rule: Angles
        • Cosine Rule: Mixed
        • Mixed
        • Solving Any Triangle
      • Without a Calculator
      • With Pythagoras
        • Trig. OR Pythag.
        • Trig. AND Pythag.
    • Vectors
      • Translation
      • Expressing
      • Substitution
      • Around Shapes
      • Proofs
    • Volume &
      Surface Area
      • Vocabulary
      • Introduction to
        Volume
      • Cone
        • Volume
        • Surface Area
        • Mixed
      • Cuboid
        • Volume
        • Surface Area
        • Mixed
      • Cylinder
        • Volume
        • Surface Area
        • Mixed
      • Prism
        • Volume
        • Surface Area
        • Mixed
      • Cylinder & Prism
        • Volume
        • Surface Area
        • Mixed
      • Pyramid: Volume
      • Sphere
        • Volume
        • Surface Area
        • Mixed
      • Mixed
        • Foundation
        • Higher
  • Data
    • Analysing
      • Mean
        • From a List
        • Reverse
      • Median
      • Range & Mode
      • Mixed
      • From a Bar Chart
    • Collecting
      • Collecting
      • Sampling
    • Frequency Tables
      • Ungrouped Data
        • Creating & Reading
        • Calculating Averages
      • Grouped Data
        • Creating & Reading
        • Calculating Averages
      • Two Way Tables
        • Creating & Reading
        • With Probability
        • With Bar Charts
    • Representing
      • Bar Charts
        • Single
        • Dual
        • Composite
        • Vertical Line Charts
        • Mixed
        • Calculating Averages
        • With Two-Way Tables
      • Box Plots
      • Cumulative Frequency Graphs
      • Box Plots
        with Graphs
      • Frequency Polygons
      • Frequency Trees
        • Introduction
        • With FPR
        • With Probability Trees
      • Histograms
      • Line Graphs
      • Pictograms
      • Pie Charts
        • Reading
        • Scaling Method
        • Proportional Method
        • Mixed
      • Scatter Graphs
      • Stem & Leaf
        Diagrams
      • Two-Way Tables
        • Creating & Reading
        • With Probability
        • With Bar Charts
      • Venn Diagrams
        • Creating & Reading
        • With Probability
        • Sets with Notation
        • Notation & Probability
  • Probability
    • Calculating
      Probabilities
      • Probability Scale
      • Single Event
      • An Event Will Not Happen
      • Mutually Exclusive & Exhaustive
      • Multiple Events
      • Sample Space
        Diagrams
      • Systematic Listing
      • Mixed
      • With Equations
    • Experiment & Expectation
      • Experimental Probability
      • Expectation
    • Frequency
      Tree Diagrams
      • Introduction
      • With FPR
      • With Probability Trees
    • Probability
      Tree Diagrams
      • Unconditional
      • Conditional
      • Mixed
      • With Frequency Trees
    • Two-Way Tables
      • Creating & Reading
      • With Probability
      • With Bar Charts
    • Venn Diagrams
      • Creating & Reading
      • With Probability
      • Sets with Notation
      • Notation & Probability
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Handcrafted resources for maths teachers.

  • Number
    • Bidmas
      • 4 Operations
      • All
    • Decimals
      • Arithmetic:
        1 Digit
        • Adding
        • Subtracting
        • Adding & Subtracting
        • Multiplying
        • Dividing
        • Multiplying & Dividing
        • Mixed
      • Arithmetic:
        1 & 2 Digit
        • Adding
        • Subtracting
        • Adding & Subtracting
        • Multiplying
        • Dividing
        • Multiplying & Dividing
        • Multiplying & Dividing: 10, 100, 1000
        • Mixed
      • Equivalence
        • To Fractions
        • To Percentages
        • To Both
        • Recurring Decimals
          to Fractions
        • With Fractions
        • With Percentages
        • FDP
        • FDP Ordering
        • FDPR
      • Money
        • Calculator
        • Non-Calculator
        • Rates of Pay
      • Ordering
      • Place Value
      • Recurring
        • Ordering
        • Converting to
          Fractions
    • Directed Numbers
      • Arithmetic
        • Adding
        • Subtracting
        • Adding & Subtracting
        • Multiplying & Dividing
        • Mixed
        • Complex
      • Ordering
    • Equivalence
      • Converting Fractions
        • To Decimals
        • To Decimals:
          Calculator
        • To Percentages
        • To Percentages: Calculator
        • To Ratios
        • To All
        • With Decimals
        • With Percentages
        • With Ratios
        • With All
      • Converting Decimals
        • To Fractions
        • To Percentages
        • To Both
        • Recurring Decimals
          to Fractions
        • With Fractions
        • With Percentages
        • With Both
      • Converting Percentages
        • To Fractions
        • To Decimals
        • To Ratios
        • To All
        • With Fractions
        • With Decimals
        • With Ratios
        • With All
      • Converting Ratios
        • To Fractions
        • To Percentages
        • To Both
        • With Fractions
        • With Percentages
        • With Both
      • FDP
      • FDP Ordering
      • FPR
      • FDPR
    • Estimating &
      Rounding
      • Approximating Calculations
      • Estimating Roots
      • Estimation with
        Scale Drawings
      • Limits of Accuracy
        • Error Intervals
        • Calculations
      • Rounding
        • Decimal Places
        • Significant Figures
        • Whole Numbers
        • Mixed
    • Factors, Multiples & Primes
      • Prime Numbers
      • Multiples
      • Factors
      • Mixed
      • Prime Factorisation
      • HCF & LCM:
        Listing
        • HCF
        • LCM
        • Mixed
      • HCF & LCM:
        Prime Factorisation
        • HCF
        • LCM
        • Mixed
    • Fractions
      • Introduction
      • Arithmetic:
        Unit Fractions
        • Adding
        • Subtracting
        • Adding & Subtracting
        • Multiplying
        • Dividing
        • Multiplying & Dividing
        • With Integers
        • Mixed
      • Arithmetic:
        Non-Unit Fractions
        • Adding
        • Subtracting
        • Adding & Subtracting
        • Multiplying
        • Dividing
        • Multiplying & Dividing
        • With Cancelling
        • With Integers
        • Mixed
      • Equivalence
        • To Decimals
        • To Decimals:
          Calculator
        • To Percentages
        • To Percentages: Calculator
        • To Ratios
        • To All
        • With Decimals
        • With Percentages
        • With Ratios
        • FDP
        • FDP Ordering
        • FPR
        • FDPR
      • Equivalent Fractions
        • Simplifying
        • Comparing &
          Ordering
        • Comparing with
          Inequality Symbols
      • Expressing
        • Quantity
        • Change
      • Fraction of a Quantity
        • Unit Fractions
        • Non-Unit Fractions
        • Reverse
        • Increasing & Decreasing
        • FPR: Calculator
        • FPR: Non-Calculator
        • FPR: With
          Frequency trees
      • Mixed Numbers & Improper Fractions
        • Converting
          Mixed Numbers
        • Converting
          Improper Fractions
        • Converting: Mixed
        • Adding
        • Subtracting
        • Adding & Subtracting
        • Multiplying
        • Dividing
        • Multiplying & Dividing
        • Mixed Arithmetic
      • Mixed
      • Reciprocals
      • With a Calculator
    • Indices & Surds
      • Indices
        • Introduction
        • Square Numbers
        • Cube Numbers
        • Multiplying & Dividing
        • Negative
        • Fractional
        • Negative Fractional
        • With Brackets
        • Mixed
        • Equations
          with Indices
        • Reciprocals
      • Evaluating Roots
        • Estimating Roots
        • Square
        • Square & Cube
      • Mixed:
        Integer Values
      • Surds
        • Simplifying
        • Multiplying & Dividing
        • Adding & Subtracting
        • Expanding Brackets
        • Rationalising Denominators
        • Mixed
        • With Pythagoras
      • Mixed
    • Integers
      • Arithmetic:
        1 & 2 Digit
        • Adding
        • Subtracting
        • Adding & Subtracting
        • Multiplying
        • Dividing
        • Multiplying & Dividing
        • Mixed
      • Arithmetic:
        2 & 3 Digit
        • Adding
        • Subtracting
        • Adding & Subtracting
        • Multiplying
        • Dividing
        • Multiplying & Dividing
        • Multiplying & Dividing: 10, 100, 1000
        • Mixed
      • Place Value &
        Ordering
      • Real-Life:
        Including Money
        • Calculator
        • Non-Calculator
    • Measures
      • Compound
        • Area & Volume
          Conversion
        • Density, Mass & Volume
        • Human-Hours
        • Population Density
        • Pressure, Force &
          Area
        • Rates of Pay
        • Speed, Distance &
          Time
      • Measuring Lines
      • Money
        • Calculator
        • Non-Calculator
        • Rates of Pay
      • Reading Scales
      • Scale Drawings
      • Estimation with
        Scale Drawings
      • Systems of Measurement
        • Imperial
        • Metric
        • Mixed
        • Conversion Factors
        • Area & Volume
          Conversion
      • Time
        • Calculations
        • Converting
    • Standard Form
      • Calculations with Powers of 10
      • Adding & Subtracting
      • Multiplying & Dividing
        • Calculator
        • Non-Calculator
      • Converting
        • Ordinary to
          Standard Form
        • Standard Form to Ordinary
        • Mixed
    • Systematic Listing
    • Using a Calculator
      • Complex Calculations
      • Fractions
  • Proportion
    • Compound Measures
      • Area & Volume
        Conversion
      • Density, Mass & Volume
      • Human-Hours
      • Population Density
      • Pressure, Force &
        Area
      • Rates of Pay
      • Time
        • Calculations
        • Converting
      • Speed, Distance &
        Time
    • Direct & Inverse
      • Introduction
      • Direct
      • Inverse
      • Mixed
      • Identifying Graphs
    • Graphs
      • Identifying
        Proportional Graphs
      • Conversion Graphs
        • Reading
        • Plotting & Reading
      • Cost Relationships
        • Introduction
        • With Equations
      • Depth-Time
      • Distance-Time:
        Constant Speeds
        • Reading
        • Plotting & Reading
      • Distance-Time:
        Variable Speeds
      • Velocity-Time
        • Distance
        • Acceleration
        • Mixed
      • Mixed: Distance & Velocity
      • Volume-Time
    • Percentages:
      Calculator
      • Expressing
        • Fraction
        • Quantity
        • Change
      • Percentage of a
        Quantity
        • Integer
        • Decimal
        • Reverse
        • FPR of Quantities
      • Increase & Decrease
        • Increase
        • Decrease
        • Mixed
        • Simple Interest
        • Using a
          Multiplier
        • Reverse
      • Repeated
        Percentage Change
        • Increase &
          Compound Interest
        • Decrease
        • Increase & Decrease
        • Reverse
        • Mixed
      • Mixed
    • Percentages:
      Non-Calculator
      • Equivalence
        • To Fractions
        • To Decimals
        • To Ratios
        • To All
        • With Fractions
        • With Decimals
        • With Ratios
        • FDP
        • FDP Ordering
        • FPR
        • FDPR
      • Expressing
        • Fraction
        • Quantity
        • Change
      • Percentage of a Quantity
        • 10s
        • 5s
        • All
        • Reverse
        • FPR of Quantities
      • Increase & Decrease
        • Increase
        • Decrease
        • Mixed
        • Reverse
      • Mixed
    • Ratio
      • Equivalence
        • To Fractions
        • To Percentages
        • To Both
        • With Fractions
        • With Percentages
        • FPR
        • FDPR
      • Expressing
        • Division
        • Simplifying
      • Ratios & Quantities
        • Dividing Into a Ratio
        • Reverse
        • Mixed
        • With Line Segments
        • FPR: Calculator
        • FPR: Non-Calculator
        • FPR: With
          Frequency Trees
      • Manipulation
        • Comparing
        • Combining
        • Changing
      • Mixed
        • Foundation
        • Higher
    • Real-Life
      • Prices
        • Calculator
        • Non-Calculator
      • Best Buys
        • Calculator
        • Non-Calculator
      • Exchange Rates
      • Recipes
        • Calculator
        • Non-Calculator
  • Algebra
    • Introduction
      • Definitions
      • Notation
      • Forming Expressions
        • With Function Machines
        • Linear
      • Manipulating
        Formulae
    • Equations:
      Linear
      • Forming
        • Shapes, Angles
          & Real Life
        • With Function Machines
        • With Functions & Sequences
      • Variable on One Side: Calculator
        • 1-Step
        • 2-Step
        • 3-Step
        • Mixed
      • Variable on One Side: Non-Calculator
        • 1-Step
        • 2-Step
        • 3-Step
        • Mixed
      • With Brackets
        • Without Coefficients
        • With Coefficients
        • Multiple
      • Variable on Both Sides
        • Without Brackets
        • With Brackets
        • Graphical Intersections
        • With Parallel Lines
      • Rational
      • Mixed
      • Inequalities
      • With Functions
      • With Indices
    • Equations:
      Quadratic
      • Forming
      • Factorisation:
        Double Brackets
        • Without Coefficients
        • With Coefficients
      • b = 0
        • Rearranging
        • Difference of
          Two Squares
        • Mixed
      • c = 0
      • Completing the Square
      • Rational
        • Without Coefficients
        • With Coefficients
      • Quadratic Formula
      • Equations
        with No Solution
      • Mixed
      • Trial & Improvement
      • Iteration
      • By Intersection
      • Inequalities
    • Equations: Simultaneous
      • Forming
      • Elimination
        • Without Balancing
          Coefficients
        • With Balancing
          Coefficients
      • Substitution
      • Mixed
      • Graphically
      • Linear & Non-Linear
        • Algebraically
        • Graphically
    • Functions
      • Forming
        • Expressions
        • Simple Functions
        • Changing the Subject
          of a Formula
        • Composite
        • Inverse
        • Composite & Inverse
      • Evaluating
        • Simple Function Machines
        • Graphing
        • With Equations & Sequences
        • Linear
        • With Indices
        • Composite
        • Inverse
        • Composite & Inverse
        • Solving Equations
        • Iteration
    • Graphs: Abstract
      • Coordinates
        • Reading
        • Reading & Plotting
        • Midpoint & Endpoint
          of a Line
        • Line Segments & Ratio
        • Geometric Problems
        • With Pythagoras
      • Linear: Calculating
        • Functions & Graphs
        • Identifying
          Gradient & Intercept
        • Evaluating
          Coordinates
        • Evaluating
          Intersections
        • From Coordinates
        • Parallel
        • Perpendicular
        • Parallel & Perpendicular
        • Mixed
        • Identifying Graphs
      • Linear: Plotting
        • With Functions
        • With Sequences
        • Cover-Up Method
        • Gradient of a Line
        • Gradient-Intercept Method
        • Table of Values
          Method
        • Inequalities
        • Simultaneous Equations
      • Linear: Reading
        • Horizontal & Vertical
        • Gradient of a Line
        • Equation of a Line
        • Evaluating
          Intersections
        • Identifying
      • Linear: Mixed
      • Quadratic
        • Plotting
        • Significant Points
        • Turning Points by
          Completing the Square
        • Solving
          by Intersection
        • Simultaneous Equations
      • Circles
        • Equation
        • Tangent
      • Other Non-Linear
        • Plotting
        • Identifying:
          Non-Linear
        • Identifying: Proportional
        • Estimating Gradient
        • Exponential Functions
        • Trigonometric Functions
      • Transformations
    • Graphs: Real-Life
      • Conversion Graphs
        • Reading
        • Plotting & Reading
      • Cost Relationships
        • Introduction
        • With Equations
      • Depth-Time
      • Distance-Time:
        Constant Speeds
        • Reading
        • Plotting & Reading
      • Distance-Time:
        Variable Speeds
      • Velocity-Time
        • Distance
        • Acceleration
        • Mixed
      • Mixed: Distance & Velocity
      • Volume-Time
    • Inequalities
      • Linear
        • Forming
        • Evaluating
        • Representing
        • Solving :
          Single
        • Solving:
          Single & Double
        • Mixed
      • Graphical
      • Quadratic
      • Trial &
        Improvement
    • Manipulation
      • Notation
      • Algebraic Fractions
        • Adding & Subtracting
        • Multiplying & Dividing
        • Simplifying
        • Simplifying:
          With Factorisation
        • Rational: Difference
          of Two Squares
      • Changing the Subject
        of a Formula
        • Manipulating
          Formulae
        • Using a Function Machine
        • Without Factorisation
        • With Factorisation
      • Expanding Single Brackets
        • Without Coefficients
        • With Coefficients
        • With Indices
        • Multiple
        • Mixed
        • With Factorisation:
          Without Indices
        • With Factorisation:
          With Indices
      • Expanding Double & Triple Brackets
        • Double: Without Coefficients
        • Double: With Coefficients
        • With Factorisation
        • Squares
        • Triple
        • Mixed
        • With Surds
      • Factorising into
        Single Brackets
        • Without Indices
        • With Indices
        • With Expanding:
          Without Indices
        • With Expanding:
          With Indices
      • Factorising into
        Double Brackets
        • Quadratic
          Without Coefficients
        • Quadratic:
          With Coefficients
        • With Expanding
        • Completing the Square
        • Difference of Two Squares
        • Mixed
      • Forming
        Expressions
        • With Function Machines
        • Linear
        • Quadratic
      • Proofs
      • Simplifying
        Expressions
        • Adding
        • Adding:
          With Brackets
        • Adding:
          With Indices
        • Multiplying
        • Multiplying & Adding
        • Dividing
        • Multiplying & Dividing
        • Squared & Cubed
        • Mixed Arithmetic
        • With Negative &
          Fractional Indices
        • Rational:
          With Factorisation
        • Rational: Difference
          of Two Squares
        • Mixed: All
      • Mixed
        • Foundation
        • Higher
    • Sequences
      • Introduction
      • With Graphs
      • With Equations & Functions
      • Linear
      • Linear:
        Evaluating Terms
      • Quadratic
      • Linear & Quadratic
      • Geometric
      • Special
      • Mixed
    • Substitution
      • Using Symbols
        • Positive
        • Negative
        • Mixed
      • Without Indices
        • Positive
        • Negative
        • Mixed
      • With Indices
        • Positive
        • Negative
        • Mixed
      • With a Calculator
      • Vectors
  • Geometry
    • Angles
      • Angle Facts
        • Vocabulary
        • Around a Point
        • On Straight Lines
        • Vertically Opposite
        • Triangles
        • Mixed
      • Drawing & Measuring
        • Drawing
        • Measuring
        • Drawing & Measuring
        • Estimating
      • Circle Theorems
        • Vocabulary
        • Alternate Segment
        • At the Circumference
        • Cyclic Quadrilaterals
        • Tangents & Chords
        • With Pythagoras
        • Combined
        • Mixed
      • Parallel Lines
        • Introduction
        • Solving Equations
      • Polygons
        • Triangles
        • Regular
        • Irregular
        • Special Quadrilaterals
        • Mixed
      • Mixed
        • Without
          Circle Theorems
        • With
          Circle Theorems
    • Area & Perimeter
      • Circles
        • Vocabulary
        • Area
        • Area In Terms of π
        • Circumference
        • Area & Circumference
        • Arc Length
        • Sector Area
        • Arcs & Sectors
        • Mixed
      • Compound Shapes: Rectilinear
        • Area
        • Perimeter
        • Mixed
      • Compound Shapes:
        Polygonal
        • Area
        • Perimeter
        • Perimeter:
          With Pythagoras
      • Compound Shapes:
        With Circles
        • Area
        • Perimeter
        • Mixed
      • Quadrilaterals
        • Vocabulary
        • Rectangle:
          Area
        • Rectangle:
          Perimeter
        • Rectangle:
          Area & Perimeter
        • Parallelogram
        • Trapezium
      • Triangles
        • Area
        • Area Using Sine Rule
      • Mixed
        • Polygons
        • Polygons & Circles
    • Bearings
      • Cardinal Points
      • Measuring
      • Scale Drawings & Bearings
      • Calculating
      • With Trigonometry
    • Classifying &
      Vocabulary
      • Classifying Shapes
        • Diagonals
        • Symmetry
        • Quadrilaterals
        • 2D Shapes
      • Vocabulary
        • Angles
        • Circles
        • 2D Shapes
        • 3D Shapes
        • Sketching Diagrams
    • Construction
      • Angles
        • Drawing
        • Measuring
        • Drawing & Measuring
        • Estimating
      • Triangles
      • Bisectors
        • Line
        • Angle
        • Mixed
      • Loci
      • Bisectors & Loci
      • Nets
      • Plans & Elevations
      • Isometric Grids
      • Measuring Lines
      • Scale Drawings
      • Estimation with
        Scale Drawings
      • Scale Drawings & Bearings
      • Sketching Diagrams
    • Coordinates
      • Reading
      • Reading & Plotting
      • Midpoint & Endpoint
        of a Line
      • Line Segments & Ratio
      • Geometric Problems
      • With Pythagoras
    • Measures
      • Compound
        • Area & Volume
          Conversion
        • Density, Mass & Volume
        • Human-Hours
        • Population Density
        • Pressure, Force &
          Area
        • Rates of Pay
        • Speed, Distance &
          Time
      • Measuring Lines
      • Money
        • Calculator
        • Non-Calculator
        • Rates of Pay
      • Reading Scales
      • Scale Drawings
      • Estimation with
        Scale Drawings
      • Systems of Measurement
        • Imperial
        • Metric
        • Mixed
        • Conversion Factors
        • Area & Volume
          Conversion
      • Time
        • Calculations
        • Converting
    • Pythagoras
      • Introduction
      • Finding A or B
      • Finding A, B or C
      • Isosceles Triangles
      • Real-Life
      • 3D
      • Coordinates
      • Mixed
      • Shape Perimeters
      • With Surds
      • With Trigonometry
        • Trig. OR Pythag.
        • Trig. AND Pythag.
      • With Circle Theorems
    • Similarity
      • Area & Volume
        Conversion
      • Similar 2D Shapes
      • Similar Triangles
        • Abstract
        • Real-Life
      • Congruent Triangles
      • Length, Area & Volume
        Scale Factors
        • Length & Area
        • Length & Volume
        • Length, Area &
          Volume
      • Rotational Symmetry
    • Transformations
      • Enlargement
        • Positive
        • Negative
        • Fractional
        • Negative Fractional
        • Ray Method
        • Mixed: Foundation
        • Mixed: Higher
      • Reflection
      • Rotation
      • Symmetry
      • Rotational Symmetry
      • Translation
      • Invariant Points
      • Combined
      • Mixed
        • Foundation
        • Higher
    • Trigonometry
      • Introduction
      • Angles Between
        0° & 360°
      • Area of a Triangle
      • Choosing a Ratio
      • Sine & Cosine Ratios
        • Lengths
        • Angles
        • Mixed
      • Tangent Ratio
        • Lengths
        • Angles
        • Mixed
      • All Ratios
        • Lengths
        • Angles
        • Mixed
      • Isosceles Triangles
      • Real-Life
        • Elevation &
          Depression
        • Practical Problems
        • 3D
        • With Bearings
      • Sine & Cosine Rules
        • Sine Rule
        • Cosine Rule: Lengths
        • Cosine Rule: Angles
        • Cosine Rule: Mixed
        • Mixed
        • Solving Any Triangle
      • Without a Calculator
      • With Pythagoras
        • Trig. OR Pythag.
        • Trig. AND Pythag.
    • Vectors
      • Translation
      • Expressing
      • Substitution
      • Around Shapes
      • Proofs
    • Volume &
      Surface Area
      • Vocabulary
      • Introduction to
        Volume
      • Cone
        • Volume
        • Surface Area
        • Mixed
      • Cuboid
        • Volume
        • Surface Area
        • Mixed
      • Cylinder
        • Volume
        • Surface Area
        • Mixed
      • Prism
        • Volume
        • Surface Area
        • Mixed
      • Cylinder & Prism
        • Volume
        • Surface Area
        • Mixed
      • Pyramid: Volume
      • Sphere
        • Volume
        • Surface Area
        • Mixed
      • Mixed
        • Foundation
        • Higher
  • Data
    • Analysing
      • Mean
        • From a List
        • Reverse
      • Median
      • Range & Mode
      • Mixed
      • From a Bar Chart
    • Collecting
      • Collecting
      • Sampling
    • Frequency Tables
      • Ungrouped Data
        • Creating & Reading
        • Calculating Averages
      • Grouped Data
        • Creating & Reading
        • Calculating Averages
      • Two Way Tables
        • Creating & Reading
        • With Probability
        • With Bar Charts
    • Representing
      • Bar Charts
        • Single
        • Dual
        • Composite
        • Vertical Line Charts
        • Mixed
        • Calculating Averages
        • With Two-Way Tables
      • Box Plots
      • Cumulative Frequency Graphs
      • Box Plots
        with Graphs
      • Frequency Polygons
      • Frequency Trees
        • Introduction
        • With FPR
        • With Probability Trees
      • Histograms
      • Line Graphs
      • Pictograms
      • Pie Charts
        • Reading
        • Scaling Method
        • Proportional Method
        • Mixed
      • Scatter Graphs
      • Stem & Leaf
        Diagrams
      • Two-Way Tables
        • Creating & Reading
        • With Probability
        • With Bar Charts
      • Venn Diagrams
        • Creating & Reading
        • With Probability
        • Sets with Notation
        • Notation & Probability
  • Probability
    • Calculating
      Probabilities
      • Probability Scale
      • Single Event
      • An Event Will Not Happen
      • Mutually Exclusive & Exhaustive
      • Multiple Events
      • Sample Space
        Diagrams
      • Systematic Listing
      • Mixed
      • With Equations
    • Experiment & Expectation
      • Experimental Probability
      • Expectation
    • Frequency
      Tree Diagrams
      • Introduction
      • With FPR
      • With Probability Trees
    • Probability
      Tree Diagrams
      • Unconditional
      • Conditional
      • Mixed
      • With Frequency Trees
    • Two-Way Tables
      • Creating & Reading
      • With Probability
      • With Bar Charts
    • Venn Diagrams
      • Creating & Reading
      • With Probability
      • Sets with Notation
      • Notation & Probability

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