Table of Contents

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

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

3 Polygons
 3.1 Angles in Polygons
 3.2 Constructions
 3.3 Angles in Regular Polygons
 3.4 Regular Polygons and Tessellations

4 Using Data
 4.1 Scatter Graphs and Correlation
 4.2 TimeSeries Graphs
 4.3 TwoWay Tables
 4.4 Comparing Two or More Sets of Data
 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 Calculating the Length of the Hypotenuse
 6.3 Calculating the Length of a Shorter Side
 6.4 Using Pythagoras’ Theorem to Solve Problems

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

8 Algebra
 8.1 More about Brackets
 8.2 Factorising Expressions Containing Powers
 8.3 Expanding the Product of Two Brackets

9 Decimal Numbers
 9.1 Powers of 10
 9.2 Standard Form
 9.3 Rounding Appropriately
 9.4 Mental Calculations
 9.5 Solving Problems

10 Prisms and Cylinders
 10.1 Metric Units for Area and Volume
 10.2 Volume of a Prism
 10.3 Surface Area of a Prism
 10.4 Volume of a Cylinder
 10.5 Surface Area of a Cylinder

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

12 Compound Units
 12.1 Speed
 12.2 More about Proportion
 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