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# Maths Quest 11 General Mathematics VCE Units 1 and 2 Solutions Manual & eBookPLUS

Author/s Morris 9780730323174 November 2015 224 \$44.95

Maths Quest 11 General Mathematics VCE Units 1 and 2 Solutions Manual with eBookPLUS contains fully worked solutions to every question in the Maths Quest 11 General Mathematics VCE Units 1 and 2 student text.

This resource is a printed student text that includes Maths Quest 11 General Mathematics VCE Units 1 and 2 Solutions Manual eBookPLUS.

Topic 1 — Linear relations and equations 1

Exercise 1.2 — Linear relations 1

Exercise 1.3 — Solving linear equations 2

Exercise 1.4 — Developing linear equations 6

Exercise 1.5 — Simultaneous linear equations 12

Exercise 1.6 — Problem solving with simultaneous equations 17

Topic 2 — Computation and practical arithmetic 23

Exercise 2.2 — Computation methods 23

Exercise 2.3 — Orders of magnitude 24

Exercise 2.4 — Ratio, rates and percentages 26

Topic 3 — Financial arithmetic 33

Exercise 3.2 — Percentage change 33

Exercise 3.3 — Financial applications of ratios and percentages 34

Exercise 3.4 — Simple interest applications 37

Exercise 3.5 — Compound interest applications 41

Exercise 3.6 — Purchasing options 45

Topic 4 — Matrices 49

Exercise 4.2 — Types of matrices 49

Exercise 4.3 — Operations with matrices 51

Exercise 4.4 — Matrix multiplication 53

Exercise 4.5 — Inverse matrices and problem solving with matrices 56

Topic 5 — Graphs and networks 61

Exercise 5.2 — Definitions and terms 61

Exercise 5.3 — Planar graphs 64

Exercise 5.4 — Connected graphs 67

Exercise 5.5 — Weighted graphs and trees 68

Topic 6 — Sequences 71

Exercise 6.2 — Arithmetic sequences 71

Exercise 6.3 — Geometric sequences 75

Exercise 6.4 — Recurrence relations 81

Topic 7 — Shape and measurement 87

Exercise 7.2 — Pythagoras’ theorem 87

Exercise 7.3 — Perimeter and area I 89

Exercise 7.4 — Perimeter and area II 90

Exercise 7.5 — Volume 90

Exercise 7.6 — Surface area 92

Topic 8 — Similarity 95

Exercise 8.2 — Similar objects 95

Exercise 8.3 — Linear scale factors 96

Exercise 8.4 — Area and volume scale factors 98

Topic 9 — Applications of trigonometry 101

Exercise 9.2 — Trigonometric ratios 101

Exercise 9.3 — Applications of trigonometric ratios 103

Exercise 9.4 — The sine rule 104

Exercise 9.5 — The cosine rule 106

Exercise 9.6 — Area of triangles 107

Topic 10 — Linear graphs and models 111

Exercise 10.2 — Linear functions and graphs 111

Exercise 10.3 — Linear modelling 118

Exercise 10.4 — Linear equations and predictions 120

Exercise 10.5 — Further linear applications 125

Topic 11 — Inequalities and linear programming 131

Exercise 11.2 — Graphs of linear inequalities 131

Exercise 11.3 — Linear programming 137

Exercise 11.4 — Applications of linear programming 143

Topic 12 — Variation 159

Exercise 12.2 — Direct, inverse and joint variation 159

Exercise 12.3 — Data transformations 161

Exercise 12.4 — Data modelling 167

Topic 13 — Investigating and comparing data distributions 171

Exercise 13.2 — Data types and displays 171

Exercise 13.3 — Numerical data distributions 175

Exercise 13.4 — Measures of centre 184

Exercise 13.5 — Measures of spread 194

Exercise 13.6 — Comparing numerical distributions 204

Topic 14 — Relationships between two numerical variables 209

Exercise 14.2 — Scatterplots and basic correlation 209

Exercise 14.3 — Further correlation coefficients 210

Exercise 14.4 — Making predictions 211

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