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

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