# Maths Review

4801 WordsJun 14, 201120 Pages
Preliminary Exam Preparation, Study Notes Table of Contents Chapter One: Linear Equations and Functions 2 Algebraic Terms 2 Formulas 2 Expanding Expressions 2 Solving Equations 2 Equations Involving Algebraic Fractions 2 Equations and Formulas 2 Linear Functions 2 The Gradient as a Rate of Change 3 Linear Modelling 3 Chapter Four: Statistical Samples and Displays 4 Statistical Investigations 4 Interpreting Graphs 4 Types of Data 4 Sample Types 4 Sampling techniques 4 Constructing graphs 5 Misleading graphs 5 Frequency histograms and polygons 5 Dot plots 5 Stem and Leaf plots 5 Radar Charts 5 Chapter Five: Ratios and Similar Figures 6 Simplifying Ratios 6 The Unitary Method 6 Dividing a Quantity into a Given Ratio 6 Scale Factors and Centre of Enlargement 6 Properties of Similar Figures 6 Using Shadows and Similar Triangles 6 Scale Drawings 6 Floor Plans and Elevations 7 Symbols and Calculations from Plans and Elevations 7 Chapter Six: Earning and Taxation 8 Wages, salaries and overtime 8 Commission, Piecework and Royalties 8 Bonuses and Allowances 8 Gross and Net Pay 8 Household Bills 9 Budgeting 9 Income tax 9 Goods and Services Tax 9 Chapter Seven: Trigonometry 10 Pythagoras’ theorem 10 Investigating the Tangent Ratio 10 Investigating the Sine Ratio 10 Investigating the Cosine Ratio 10 Mixed Problems 10 Bearings 10 HELP PAGES 246 to 287 11 Chapter Eight: Rates and Linear Modelling 12 Rates 12 Rate Problems 12 Speed and Fuel Consumption 12 Converting Rates 13 Graphing Linear Functions 13 Direct Linear Variation 13 Conversion Graphs 13 Linear Modelling 14 Chapter Nine: Probability 15 The Language of Probability 15 Outcomes and Sample Spaces 15 Multistage Events 15 Performing Simple Experiments 15 Experimental Probability 15 Theoretical Probability 15 Complementary Events 15 Chapter Ten: Savings