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   Chapter 1: Ratios

1.1 

What is a Ratio?

1.2 

Equivalent Ratios

1.3 

Simplifying Ratios

1.4 

Problem Solving with Ratios

1.5 

Problem Solving with Ratios (Proportion Method)

1.6 

Dividing a Quantity into a Given Ratio

1.7 

Rates

1.8 

Scale Drawings

1.9 

Ratios Test



   Chapter 1: Equations

1.1 

Simple Equations

1.2 

Equations involving more than one step

1.3 

Equations Involving Brackets

1.4 

Equations with Fractions

1.5 

Equations Test

1.6 

Application of Equations

1.7 

Simultaneous Equations by Elimination

1.8 

Simultaneous Equations by Substitution

1.9 

Simultaneous Equations Test

2.1 

Gradient of a Line

2.2 

Graphing Linear Equations

2.3 

The Gradient - Intercept Form of a Line

2.4 

Sketching A Line Using y = mx + b

2.5 

Parallel Lines

2.6 

Further Questions

2.7 

Linear Graphs Test

2.8 

The Parabola

2.9 

Using Graphs to Solve Simultaneous Equations

3.1 

Distance Formula, Mid-point of a Line

3.2 

Perpendicular Lines

3.3 

Coordinate Geometry Test

4.1 

Algebra Revision

4.2 

Substitution

4.3 

Factorisation Part 1

4.4 

Factorisation Part 2

4.5 

The Cross Sword Method of Factorising

4.6 

Division for Polynomials

4.7 

Remainder and Factor Theorems

4.8 

Polynomials Test

5.1 

Solution of Quadratic Equations

5.2 

Discriminant

5.3 

Solutions of Linear and Quadratic Equations

5.4 

Quadratics Test

6.1 

Functions

6.2 

The Hyperbola

6.3 

Domain and Range of a Function

6.4 

Curve Sketching: Translation and Dilation

6.5 

Inverse Functions

6.6 

Relations and Functions Test



   Chapter 2: Graphing

1.1 

Simple Equations

1.2 

Equations involving more than one step

1.3 

Equations Involving Brackets

1.4 

Equations with Fractions

1.5 

Equations Test

1.6 

Application of Equations

1.7 

Simultaneous Equations by Elimination

1.8 

Simultaneous Equations by Substitution

1.9 

Simultaneous Equations Test

2.1 

Gradient of a Line

2.2 

Graphing Linear Equations

2.3 

The Gradient - Intercept Form of a Line

2.4 

Sketching A Line Using y = mx + b

2.5 

Parallel Lines

2.6 

Further Questions

2.7 

Linear Graphs Test

2.8 

The Parabola

2.9 

Using Graphs to Solve Simultaneous Equations

3.1 

Distance Formula, Mid-point of a Line

3.2 

Perpendicular Lines

3.3 

Coordinate Geometry Test

4.1 

Algebra Revision

4.2 

Substitution

4.3 

Factorisation Part 1

4.4 

Factorisation Part 2

4.5 

The Cross Sword Method of Factorising

4.6 

Division for Polynomials

4.7 

Remainder and Factor Theorems

4.8 

Polynomials Test

5.1 

Solution of Quadratic Equations

5.2 

Discriminant

5.3 

Solutions of Linear and Quadratic Equations

5.4 

Quadratics Test

6.1 

Functions

6.2 

The Hyperbola

6.3 

Domain and Range of a Function

6.4 

Curve Sketching: Translation and Dilation

6.5 

Inverse Functions

6.6 

Relations and Functions Test



   Chapter 3: Coordinate Geometry

1.1 

Simple Equations

1.2 

Equations involving more than one step

1.3 

Equations Involving Brackets

1.4 

Equations with Fractions

1.5 

Equations Test

1.6 

Application of Equations

1.7 

Simultaneous Equations by Elimination

1.8 

Simultaneous Equations by Substitution

1.9 

Simultaneous Equations Test

2.1 

Gradient of a Line

2.2 

Graphing Linear Equations

2.3 

The Gradient - Intercept Form of a Line

2.4 

Sketching A Line Using y = mx + b

2.5 

Parallel Lines

2.6 

Further Questions

2.7 

Linear Graphs Test

2.8 

The Parabola

2.9 

Using Graphs to Solve Simultaneous Equations

3.1 

Distance Formula, Mid-point of a Line

3.2 

Perpendicular Lines

3.3 

Coordinate Geometry Test

4.1 

Algebra Revision

4.2 

Substitution

4.3 

Factorisation Part 1

4.4 

Factorisation Part 2

4.5 

The Cross Sword Method of Factorising

4.6 

Division for Polynomials

4.7 

Remainder and Factor Theorems

4.8 

Polynomials Test

5.1 

Solution of Quadratic Equations

5.2 

Discriminant

5.3 

Solutions of Linear and Quadratic Equations

5.4 

Quadratics Test

6.1 

Functions

6.2 

The Hyperbola

6.3 

Domain and Range of a Function

6.4 

Curve Sketching: Translation and Dilation

6.5 

Inverse Functions

6.6 

Relations and Functions Test



   Chapter 4: Polynomials

1.1 

Simple Equations

1.2 

Equations involving more than one step

1.3 

Equations Involving Brackets

1.4 

Equations with Fractions

1.5 

Equations Test

1.6 

Application of Equations

1.7 

Simultaneous Equations by Elimination

1.8 

Simultaneous Equations by Substitution

1.9 

Simultaneous Equations Test

2.1 

Gradient of a Line

2.2 

Graphing Linear Equations

2.3 

The Gradient - Intercept Form of a Line

2.4 

Sketching A Line Using y = mx + b

2.5 

Parallel Lines

2.6 

Further Questions

2.7 

Linear Graphs Test

2.8 

The Parabola

2.9 

Using Graphs to Solve Simultaneous Equations

3.1 

Distance Formula, Mid-point of a Line

3.2 

Perpendicular Lines

3.3 

Coordinate Geometry Test

4.1 

Algebra Revision

4.2 

Substitution

4.3 

Factorisation Part 1

4.4 

Factorisation Part 2

4.5 

The Cross Sword Method of Factorising

4.6 

Division for Polynomials

4.7 

Remainder and Factor Theorems

4.8 

Polynomials Test

5.1 

Solution of Quadratic Equations

5.2 

Discriminant

5.3 

Solutions of Linear and Quadratic Equations

5.4 

Quadratics Test

6.1 

Functions

6.2 

The Hyperbola

6.3 

Domain and Range of a Function

6.4 

Curve Sketching: Translation and Dilation

6.5 

Inverse Functions

6.6 

Relations and Functions Test



   Chapter 5: Solving Quadratics

1.1 

Simple Equations

1.2 

Equations involving more than one step

1.3 

Equations Involving Brackets

1.4 

Equations with Fractions

1.5 

Equations Test

1.6 

Application of Equations

1.7 

Simultaneous Equations by Elimination

1.8 

Simultaneous Equations by Substitution

1.9 

Simultaneous Equations Test

2.1 

Gradient of a Line

2.2 

Graphing Linear Equations

2.3 

The Gradient - Intercept Form of a Line

2.4 

Sketching A Line Using y = mx + b

2.5 

Parallel Lines

2.6 

Further Questions

2.7 

Linear Graphs Test

2.8 

The Parabola

2.9 

Using Graphs to Solve Simultaneous Equations

3.1 

Distance Formula, Mid-point of a Line

3.2 

Perpendicular Lines

3.3 

Coordinate Geometry Test

4.1 

Algebra Revision

4.2 

Substitution

4.3 

Factorisation Part 1

4.4 

Factorisation Part 2

4.5 

The Cross Sword Method of Factorising

4.6 

Division for Polynomials

4.7 

Remainder and Factor Theorems

4.8 

Polynomials Test

5.1 

Solution of Quadratic Equations

5.2 

Discriminant

5.3 

Solutions of Linear and Quadratic Equations

5.4 

Quadratics Test

6.1 

Functions

6.2 

The Hyperbola

6.3 

Domain and Range of a Function

6.4 

Curve Sketching: Translation and Dilation

6.5 

Inverse Functions

6.6 

Relations and Functions Test



   Chapter 6: Relations and Functions

1.1 

Simple Equations

1.2 

Equations involving more than one step

1.3 

Equations Involving Brackets

1.4 

Equations with Fractions

1.5 

Equations Test

1.6 

Application of Equations

1.7 

Simultaneous Equations by Elimination

1.8 

Simultaneous Equations by Substitution

1.9 

Simultaneous Equations Test

2.1 

Gradient of a Line

2.2 

Graphing Linear Equations

2.3 

The Gradient - Intercept Form of a Line

2.4 

Sketching A Line Using y = mx + b

2.5 

Parallel Lines

2.6 

Further Questions

2.7 

Linear Graphs Test

2.8 

The Parabola

2.9 

Using Graphs to Solve Simultaneous Equations

3.1 

Distance Formula, Mid-point of a Line

3.2 

Perpendicular Lines

3.3 

Coordinate Geometry Test

4.1 

Algebra Revision

4.2 

Substitution

4.3 

Factorisation Part 1

4.4 

Factorisation Part 2

4.5 

The Cross Sword Method of Factorising

4.6 

Division for Polynomials

4.7 

Remainder and Factor Theorems

4.8 

Polynomials Test

5.1 

Solution of Quadratic Equations

5.2 

Discriminant

5.3 

Solutions of Linear and Quadratic Equations

5.4 

Quadratics Test

6.1 

Functions

6.2 

The Hyperbola

6.3 

Domain and Range of a Function

6.4 

Curve Sketching: Translation and Dilation

6.5 

Inverse Functions

6.6 

Relations and Functions Test



   Chapter 1: Scientific Notation

1.1 

Scientific Notation

1.2 

Scientific Notation - Large Numbers

1.3 

Scientific Notation - Small Numbers

1.4 

Scientific Notation Test

2.1 

Basic Laws of Indices

2.2 

More Advanced Laws

2.3 

More Indices

2.4 

Indices Test

3.1 

Graphing Exponential Functions

3.2 

Logarithms

3.3 

Exponential Functions Test



   Chapter 2: Indices

1.1 

Scientific Notation

1.2 

Scientific Notation - Large Numbers

1.3 

Scientific Notation - Small Numbers

1.4 

Scientific Notation Test

2.1 

Basic Laws of Indices

2.2 

More Advanced Laws

2.3 

More Indices

2.4 

Indices Test

3.1 

Graphing Exponential Functions

3.2 

Logarithms

3.3 

Exponential Functions Test



   Chapter 3: Exponentials and Logarithms

1.1 

Scientific Notation

1.2 

Scientific Notation - Large Numbers

1.3 

Scientific Notation - Small Numbers

1.4 

Scientific Notation Test

2.1 

Basic Laws of Indices

2.2 

More Advanced Laws

2.3 

More Indices

2.4 

Indices Test

3.1 

Graphing Exponential Functions

3.2 

Logarithms

3.3 

Exponential Functions Test



   Chapter 1: Number Patterns

1.1 

General Term of an Arithmetic Progression

1.2 

Sum of an Arithmetic Progression

1.3 

General Term and Sum of a Geometric Progression

1.4 

Difference Equations

1.5 

Sequences and Difference Equations

1.6 

Solving Difference Equations

1.7 

Number Patterns Test



   Chapter 1: Money Matters

1.1 

Percentages of Money

1.2 

Best Buy

1.3 

Simple Interest

1.4 

Compound Interest

1.5 

Constant Multiplier Key for Compound Interest

1.6 

Depreciation

1.7 

Constant Multiplier Key for Depreciation

1.8 

Money Test



   Chapter 1: Undirected Graphs

1.1 

Undirected Graphs (The Basics)

1.2 

Paths and Circuits

1.3 

Shortest Path (Systematic Approach)

1.4 

Spanning Trees

1.5 

Minimum Spanning Trees

1.6 

Complete Graphs

1.7 

Introduction to Directed Graphs

1.8 

Introduction to Maximum Flow

1.9 

Maximum Flow Problems

1.10

Networks Test



   Chapter 1: Symmetry

1.1 

Symmetry

1.2 

Axes of symmetry

1.3 

Flip, Slide and Turn

1.4 

Symmetry Test

2.1 

Converting units

2.2 

Summary of Common Areas

2.3 

The Circle

2.4 

Composite Figures

2.5 

Area Test

2.6 

Surface Area of a Solid

2.7 

Volume of a Prism

2.8 

Surface Area of a Cylinder

2.9 

Volume of a Cylinder

2.10

Other Solid Shapes

2.11

Further Questions

2.12

Volume and Surface Area Test

3.1 

The Theorem of Pythagoras

3.2 

Naming the Sides

3.3 

Sine Ratio

3.4 

Cosine Ratio

3.5 

Tangent Ratio

3.6 

Unknown in the Denominator

3.7 

Trigonometry Test 1

4.1 

Sine Rule

4.2 

Cosine Rule

4.3 

Area of a Triangle

4.4 

Trigonometry Test 2



   Chapter 2: Area and Volume

1.1 

Symmetry

1.2 

Axes of symmetry

1.3 

Flip, Slide and Turn

1.4 

Symmetry Test

2.1 

Converting units

2.2 

Summary of Common Areas

2.3 

The Circle

2.4 

Composite Figures

2.5 

Area Test

2.6 

Surface Area of a Solid

2.7 

Volume of a Prism

2.8 

Surface Area of a Cylinder

2.9 

Volume of a Cylinder

2.10

Other Solid Shapes

2.11

Further Questions

2.12

Volume and Surface Area Test

3.1 

The Theorem of Pythagoras

3.2 

Naming the Sides

3.3 

Sine Ratio

3.4 

Cosine Ratio

3.5 

Tangent Ratio

3.6 

Unknown in the Denominator

3.7 

Trigonometry Test 1

4.1 

Sine Rule

4.2 

Cosine Rule

4.3 

Area of a Triangle

4.4 

Trigonometry Test 2



   Chapter 3: Trigonometry

1.1 

Symmetry

1.2 

Axes of symmetry

1.3 

Flip, Slide and Turn

1.4 

Symmetry Test

2.1 

Converting units

2.2 

Summary of Common Areas

2.3 

The Circle

2.4 

Composite Figures

2.5 

Area Test

2.6 

Surface Area of a Solid

2.7 

Volume of a Prism

2.8 

Surface Area of a Cylinder

2.9 

Volume of a Cylinder

2.10

Other Solid Shapes

2.11

Further Questions

2.12

Volume and Surface Area Test

3.1 

The Theorem of Pythagoras

3.2 

Naming the Sides

3.3 

Sine Ratio

3.4 

Cosine Ratio

3.5 

Tangent Ratio

3.6 

Unknown in the Denominator

3.7 

Trigonometry Test 1

4.1 

Sine Rule

4.2 

Cosine Rule

4.3 

Area of a Triangle

4.4 

Trigonometry Test 2



   Chapter 4: Non Right-angled Triangles

1.1 

Symmetry

1.2 

Axes of symmetry

1.3 

Flip, Slide and Turn

1.4 

Symmetry Test

2.1 

Converting units

2.2 

Summary of Common Areas

2.3 

The Circle

2.4 

Composite Figures

2.5 

Area Test

2.6 

Surface Area of a Solid

2.7 

Volume of a Prism

2.8 

Surface Area of a Cylinder

2.9 

Volume of a Cylinder

2.10

Other Solid Shapes

2.11

Further Questions

2.12

Volume and Surface Area Test

3.1 

The Theorem of Pythagoras

3.2 

Naming the Sides

3.3 

Sine Ratio

3.4 

Cosine Ratio

3.5 

Tangent Ratio

3.6 

Unknown in the Denominator

3.7 

Trigonometry Test 1

4.1 

Sine Rule

4.2 

Cosine Rule

4.3 

Area of a Triangle

4.4 

Trigonometry Test 2



   Chapter 1: Sampling, Regression and Time Series

1.1 

Sampling

1.2 

Sample Statistics

1.3 

Sampling Test

1.4 

The Correlation Coefficient

1.5 

Estimating the Regression Line

1.6 

Predicting Values with Regression Equations

1.7 

Times Series Data and Types of Variation

1.8 

Moving Averages

1.9 

The 3 Median Line

1.10

Regression Test

2.1 

The Basic Law of Probability

2.2 

Theory of Probability

2.3 

Product Rule

2.4 

Addition Rule

2.5 

Range Of Probabilities

2.6 

Probabilities Involving 2 Dice

2.7 

Tossing Coins

2.8 

Venn Diagrams and Tree Diagrams

2.9 

Replacement Problems

2.10

Non Replacement

2.11

Probability Test

3.1 

Probability Distributions: Expectation and Variance

3.2 

Expected Value and Variance of Discrete Random Variable



   Chapter 2: Probability

1.1 

Sampling

1.2 

Sample Statistics

1.3 

Sampling Test

1.4 

The Correlation Coefficient

1.5 

Estimating the Regression Line

1.6 

Predicting Values with Regression Equations

1.7 

Times Series Data and Types of Variation

1.8 

Moving Averages

1.9 

The 3 Median Line

1.10

Regression Test

2.1 

The Basic Law of Probability

2.2 

Theory of Probability

2.3 

Product Rule

2.4 

Addition Rule

2.5 

Range Of Probabilities

2.6 

Probabilities Involving 2 Dice

2.7 

Tossing Coins

2.8 

Venn Diagrams and Tree Diagrams

2.9 

Replacement Problems

2.10

Non Replacement

2.11

Probability Test

3.1 

Probability Distributions: Expectation and Variance

3.2 

Expected Value and Variance of Discrete Random Variable



   Chapter 3: Expected Value and Variance

1.1 

Sampling

1.2 

Sample Statistics

1.3 

Sampling Test

1.4 

The Correlation Coefficient

1.5 

Estimating the Regression Line

1.6 

Predicting Values with Regression Equations

1.7 

Times Series Data and Types of Variation

1.8 

Moving Averages

1.9 

The 3 Median Line

1.10

Regression Test

2.1 

The Basic Law of Probability

2.2 

Theory of Probability

2.3 

Product Rule

2.4 

Addition Rule

2.5 

Range Of Probabilities

2.6 

Probabilities Involving 2 Dice

2.7 

Tossing Coins

2.8 

Venn Diagrams and Tree Diagrams

2.9 

Replacement Problems

2.10

Non Replacement

2.11

Probability Test

3.1 

Probability Distributions: Expectation and Variance

3.2 

Expected Value and Variance of Discrete Random Variable



   Chapter 1: Types of Data and Frequency Tables

1.1 

Representation of Data

1.2 

Frequency Distribution Table

1.3 

Grouped Frequency Table

1.4 

Cumulative Frequency

1.5 

Data Test 1

2.1 

Graphs

2.2 

Pie Graphs

2.3 

Pie Charts and Stem Plots

2.4 

Histograms and Frequency Polygons

2.5 

Cumulative Frequency Polygon

2.6 

Data Test 2

3.1 

Mean, Median, Mode and Range

3.2 

5 number summary

3.3 

Constructing a Box Plot

3.4 

Data Test 3

4.1 

Measuring Spread around the Mean

4.2 

Standard Deviation

4.3 

Using the Standard Deviation

4.4 

Data Test 4



   Chapter 2: Picturing Data

1.1 

Representation of Data

1.2 

Frequency Distribution Table

1.3 

Grouped Frequency Table

1.4 

Cumulative Frequency

1.5 

Data Test 1

2.1 

Graphs

2.2 

Pie Graphs

2.3 

Pie Charts and Stem Plots

2.4 

Histograms and Frequency Polygons

2.5 

Cumulative Frequency Polygon

2.6 

Data Test 2

3.1 

Mean, Median, Mode and Range

3.2 

5 number summary

3.3 

Constructing a Box Plot

3.4 

Data Test 3

4.1 

Measuring Spread around the Mean

4.2 

Standard Deviation

4.3 

Using the Standard Deviation

4.4 

Data Test 4



   Chapter 3: Summarising Numerical Data 1

1.1 

Representation of Data

1.2 

Frequency Distribution Table

1.3 

Grouped Frequency Table

1.4 

Cumulative Frequency

1.5 

Data Test 1

2.1 

Graphs

2.2 

Pie Graphs

2.3 

Pie Charts and Stem Plots

2.4 

Histograms and Frequency Polygons

2.5 

Cumulative Frequency Polygon

2.6 

Data Test 2

3.1 

Mean, Median, Mode and Range

3.2 

5 number summary

3.3 

Constructing a Box Plot

3.4 

Data Test 3

4.1 

Measuring Spread around the Mean

4.2 

Standard Deviation

4.3 

Using the Standard Deviation

4.4 

Data Test 4



   Chapter 4: Summarising Numerical Data 2

1.1 

Representation of Data

1.2 

Frequency Distribution Table

1.3 

Grouped Frequency Table

1.4 

Cumulative Frequency

1.5 

Data Test 1

2.1 

Graphs

2.2 

Pie Graphs

2.3 

Pie Charts and Stem Plots

2.4 

Histograms and Frequency Polygons

2.5 

Cumulative Frequency Polygon

2.6 

Data Test 2

3.1 

Mean, Median, Mode and Range

3.2 

5 number summary

3.3 

Constructing a Box Plot

3.4 

Data Test 3

4.1 

Measuring Spread around the Mean

4.2 

Standard Deviation

4.3 

Using the Standard Deviation

4.4 

Data Test 4