| Introduction |
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vi | |
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1 | (7) |
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1.1 Different types of numbers |
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2 | (1) |
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1.2 Standard form and SI units |
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3 | (1) |
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1.3 Approximation and estimation |
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4 | (1) |
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5 | (3) |
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8 | (5) |
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2.1 Arithmetic sequences and series |
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9 | (1) |
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2.2 Geometric sequences and series |
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10 | (1) |
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11 | (2) |
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13 | (13) |
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16 | (1) |
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3.2 Mean, standard deviation and frequency histograms |
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17 | (2) |
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19 | (2) |
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3.4 Box and whisker diagrams and comparing data sets |
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21 | (5) |
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4 Set theory and Venn diagrams |
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26 | (6) |
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28 | (1) |
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4.2 Venn diagrams with shading |
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29 | (1) |
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4.3 Applications of set theory and Venn diagrams |
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30 | (2) |
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32 | (9) |
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5.1 Constructing truth tables |
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34 | (1) |
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5.2 Logical equivalence, tautology and contradiction |
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35 | (1) |
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36 | (1) |
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5.4 Converse, inverse and contrapositive |
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37 | (1) |
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5.5 Checking validity of arguments without truth tables |
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38 | (3) |
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41 | (9) |
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43 | (1) |
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6.2 Sample space diagrams and calculating probability |
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44 | (1) |
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45 | (1) |
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46 | (1) |
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47 | (3) |
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7 Statistical applications |
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50 | (10) |
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7.1 The normal distribution |
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52 | (1) |
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7.2 Pearson's product-moment correlation coefficient, r |
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53 | (1) |
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7.3 Regression line of y on x |
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54 | (1) |
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7.4 The chi-squared test for independence |
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55 | (5) |
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8 Geometry and trigonometry |
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60 | (12) |
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8.1 Equation of a straight line |
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63 | (1) |
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8.2 Right-angled triangles |
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64 | (1) |
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8.3 Non-right-angled triangles |
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65 | (2) |
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8.4 Trigonometry and three-dimensional solids |
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67 | (2) |
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8.5 Volumes and surface areas of three-dimensional solids |
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69 | (3) |
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9 Functions, equations and mathematical models |
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72 | (15) |
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9.1 Using the GDC to solve equations |
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74 | (1) |
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9.2 Solving pairs of linear equations |
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75 | (1) |
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76 | (1) |
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77 | (1) |
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9.5 Quadratic functions and modelling |
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78 | (2) |
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9.6 Exponential functions and modelling |
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80 | (2) |
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9.7 Polynomial functions and modelling |
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82 | (2) |
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9.8 Rational functions and their graphs |
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84 | (3) |
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87 | (8) |
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89 | (1) |
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10.2 Equations of the tangent and normal |
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90 | (1) |
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10.3 Stationary points and optimisation |
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91 | (4) |
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95 | (4) |
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95 | (2) |
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How to check your answers |
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97 | (2) |
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12 Things you need to know how to do on your calculator |
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99 | (8) |
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99 | (4) |
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103 | (4) |
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107 | |
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Answers to practice questions |
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125 | |
