# Course: CGP • Key Stage Three • Mathematics • Higher Level • The Study Guide

• Section 1 Numbers
• Calculating Tips
• Ordering Numbers
• Multiplying by 10, 100, etc.
• Dividing by 10, 100, etc.
• Multiplying without a Calculator
• Dividing without a Calculator
• Multiplying and Dividing with Decimals
• Negative Numbers
• Special Types of Number
• Prime Numbers
• Multiples, Factors and Prime Factors
• LCM and HCF
• Fractions, Decimals and Percentages
• Fractions
• Percentage Basics
• Rounding Numbers
• Rounding Errors and Estimating
• Powers
• Square Roots and Cube Roots
• Standard Form
• Section 2 Algebra
• Algebra—Simplifying Term
• Algebra—Multiplying out Brackets
• Algebra—Taking out Common Factors
• Solving Equations
• Using Formulas
• Making Formulas from Words
• Rearranging Formulas
• Number Patterns and Sequences
• Inequalities
• Section 3 Graphs
• 𝑋 and 𝑌 Coordinates
• Straight Line Graphs
• Plotting Straight Line Graphs
• 𝑦 = 𝑚𝑥 + 𝑐
• Travel and Conversion Graphs
• Real-Life Graphs
• Solving Simultaneous Equations
• Section 4 Ratio, Proportion & Rates of Change
• Ratios
• Direct Proportion
• Inverse Proportion
• Percentage Change
• Metric and Imperial Units
• Converting Units
• More Conversions
• Maps and Scale Drawings
• Density and Speed
• Section 5 Geometry and Measures
• Symmetry
• Triangles and Regular Polygons
• Perimeter and Area
• Area of Compound Shapes
• Circles
• 3D Shapes
• Nets and Surface Area
• Volume
• Angle Basics
• Geometry Rules
• Parallel Lines
• Geometry Problems
• Interior and Exterior Angles
• Transformations
• Enlargements
• Congruent Shapes
• Similar Shapes
• Triangle Construction
• Constructions
• Pythagoras’ Theorem
• Trigonometry
• Section 6 Probability and Statistics
• Probability
• Relative Frequency
• Venn Diagrams
• Data
• Graphs and Charts
• Mean, Median, Mode and Range
• Averages from Frequency Tables
• Averages from Grouped Frequency Tables
• Scatter Graphs

Use Nagwa in conjunction with your preferred textbook. The recommended lessons from Nagwa for each section of this textbook are provided below. This course is not affiliated with, sponsored by, or endorsed by the publisher of the referenced textbook. Nagwa is a registered trademark of Nagwa Limited. All other trademarks and registered trademarks are the property of their respective owners.