Table of Contents

1 Percentages
 1.1 Simple Interest
 1.2 Percentage Increases and Decreases
 1.3 Calculating the Original Value
 1.4 Repeated Percentage Changes

2 Equations and Formulae
 2.1 Multiplying out Brackets
 2.2 Factorising Algebraic Expressions
 2.3 Expressions with Several Variables
 2.4 Equations with Fractions

3 Polygons
 3.1 Properties of Polygons
 3.2 Interior and Exterior Angles of Regular Polygons
 3.3 Tessellations and Regular Polygons

4 Using Data
 4.1 Scatter Graphs and Correlation
 4.2 TwoWay Tables
 4.3 Estimation of a Mean from Grouped Data
 4.4 Cumulative Frequency Diagrams
 4.5 Statistical Investigations

5 Applications of Graphs
 5.1 Step Graphs
 5.2 Time Graphs
 5.3 Exponential Growth Graphs

6 Pythagoras’ Theorem
 6.1 Introducing Pythagoras’ Theorem
 6.2 Using Pythagoras’ Theorem to Solve Problems
 6.3 The Converse of Pythagoras’ Theorem

7 Fractions
 7.1 Adding and Subtracting Fractions
 7.2 Multiplying Fractions and Mixed Numbers
 7.3 Dividing Fractions and Mixed Numbers
 7.4 Algebraic Fractions

8 Algebra
 8.1 Expanding the Product of Two Brackets
 8.2 Expanding Expressions with More Than Two Brackets
 8.3 Factorising Quadratic Expressions with Positive Coefficients
 8.4 Factorising Quadratic Expressions with Negative Coefficients
 8.5 The Difference of Two Squares

9 Decimal Numbers
 9.1 Powers of 10
 9.2 Standard Form
 9.3 Multiplying with Numbers in Standard Form
 9.4 Dividing with Numbers in Standard Form
 9.5 Upper and Lower Bounds

10 Surface Area and Volume of Cylinders
 10.1 Volume of a Cylinder
 10.2 Surface Area of a Cylinder
 10.3 Composite Shapes

11 Solving Equations Graphically
 11.1 Graphs from Equations in the Form 𝑎𝑦 ± 𝑏𝑥 = 𝑐
 11.2 Solving Simultaneous Equations by Drawing Graphs
 11.3 Solving Quadratic Equations by Drawing Graphs
 11.4 Solving Cubic Equations by Drawing Graphs

12 Compound Units
 12.1 Speed
 12.2 More Compound Units
 12.3 Unit Costs

13 RightAngled Triangles
 13.1 Introducing Trigonometric Ratios
 13.2 How to Find Trigonometric Ratios of Angles
 13.3 Using Trigonometric Ratios to Find Angles
 13.4 Using Trigonometric Ratios to Find Lengths