# Excel Fast Track: 50 HSC Exam Tips Maths (2 Unit)

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This book has really good hints that can be useful to you.

### Contents

 BASIC ALGEBRA AND ARITHMETIC TIP 1 Calculator Display 1 Difficult Factorisation 2 Inequalities Involving Absolute Values 3 Calculator Exercises 4 Percentage Discount Increase Problems 5 Recurring Decimals Solved Both Ways 6 REAL FUNCTIONS TIP 7 Sketching Familiar Functions 7 Domain Range 10
 Understanding Rates of Change 52 DERIVATIVE OF A FUNCTION TIP 29 Differentiation Tricks 54 INTEGRATION TIP 30 Using the Trapezoidal Simpsons Rule 56 Integration Tricks 5 8 58 Volumes of Solids of Revolution Formed by Rotating the Area Between Two Curves 60 Finding the Volume Using Simpsons Rule 63 Intergrating Both Sides 65 TRIGONOMETRIC FUNCTIONS TIP 35 Sketching More Difficult Trigonometric Functions 67

 Shading Regions Involving Inequalities 11 Functional Notation 13 Adding Functions Together 15 TRIGONOMETRIC RATIOS TIP 12 Harder Trigonometric Problems 17 Bearings 19 THE QUADRATIC POLYNOMIAL THE PARABOLA TIP 14 Quadratic Inequalities 22 The Parabola Completing the Square 24 The Locus of a Parabola Circle Straight Line 26 The Discriminant 28 Quadratic Roots 30 Intersection of a Straight Line with a Parabola 32 SERIES TIP 20 Difficult Arithmetic and Geometric Series 34 PLANE GEOMETRY TIP 21 Geometry Questions 3 6 36 Tests of a Quadrilateral 3 8 38 GEOMETRICAL APPLICATIONS OF DIFFERENTIATION TIP 23 Verifying Points of Inflection 39 A Reliable Method for Sketching Curves 42 Maxima and Minima Problems 46 Sketching the Derivative Function of a Given Curve fx 48 Finding the Number of Solutions by Graphical Means 50
 When to Use Radians Instead of Degrees 69 LOGARITHMIC AND EXPONENTIAL FUNCTIONS TIP 37 Index Laws 71 Logarithmic Laws 73 Logarithmic and Exponential Equations 76 Discarding Unreasonable Answers 77 Maximum Displacement Velocity Involving Trigonometric Functions 79 Distinction Between Displacement and Distance 80 Graphical Understanding of Motion Questions 82 PROBABILITY TIP 44 ProbabilityGeneral Hints 86 Constant Changing Probabilities 88 Conditional Probabilities 90 SERIES APPLICATIONS TIP 47 Arithmetic Series Applications 92 Geometric Series Applications 95 Loan Repayments and Superannuation Questions Using a Time Line 97 Series Application in Probability Other Topics 101 Further Review Exercises 103 Worked Solutions to Review Exercises 123 Copyright