Preface to the second edition |
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xi | |
Preface to the first edition |
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xiii | |
How to use this book |
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xv | |
Acknowledgements |
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xvii | |
Abbreviations and units |
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xix | |
1 Using a scientific calculator |
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1 | (8) |
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1 | (1) |
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1.2 Keys of a scientific calculator |
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1 | (8) |
2 Numbers |
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9 | (12) |
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9 | (1) |
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9 | (1) |
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2.3 Positive numbers, negative numbers and integers |
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10 | (1) |
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2.4 Prime and composite numbers |
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11 | (1) |
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11 | (1) |
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2.6 Addition and subtraction |
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11 | (2) |
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13 | (4) |
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14 | (1) |
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2.7.2 Adding, subtracting and multiplying decimals |
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14 | (1) |
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2.7.3 Multiplication and division by the powers of 10 |
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15 | (2) |
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17 | (4) |
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17 | (4) |
3 Basic algebra |
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21 | (10) |
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21 | (1) |
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3.2 Addition and subtraction |
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21 | (1) |
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3.3 Multiplication and division |
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22 | (1) |
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23 | (1) |
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24 | (2) |
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3.6 Application of linear equations |
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26 | (5) |
4 Indices and logarithms |
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31 | (6) |
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31 | (1) |
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31 | (4) |
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32 | (1) |
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32 | (1) |
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33 | (1) |
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34 | (1) |
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34 | (1) |
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35 | (2) |
5 Standard form, significant figures and estimation |
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37 | (6) |
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37 | (1) |
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38 | (2) |
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40 | (3) |
6 Transposition and evaluation of formulae |
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43 | (12) |
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6.1 Transposition of formulae |
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43 | (3) |
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43 | (1) |
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44 | (1) |
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44 | (2) |
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6.2 Evaluation of formulae |
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46 | (2) |
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6.3 Evaluation of formulae: practical examples |
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48 | (7) |
7 Fractions and percentages |
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55 | (14) |
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55 | (6) |
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7.1.1 Simplification of fractions |
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57 | (2) |
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7.1.2 Equivalent fractions |
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59 | (1) |
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7.1.3 Addition and subtraction of fractions |
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59 | (1) |
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7.1.4 Multiplication and division of fractions |
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60 | (1) |
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7.1.5 Conversion of fractions to decimals. |
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61 | (1) |
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61 | (2) |
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7.2.1 Conversion of fractions and decimals into percentages |
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61 | (1) |
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7.2.2 Value added tax (VAT) |
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62 | (1) |
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63 | (6) |
8 Graphs |
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69 | (16) |
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69 | (1) |
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8.2 Cartesian axes and coordinates |
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69 | (4) |
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73 | (2) |
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8.4 The law of the straight line |
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75 | (4) |
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76 | (1) |
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77 | (2) |
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8.5 Simultaneous equations |
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79 | (1) |
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80 | (5) |
9 Units and their conversion |
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85 | (12) |
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85 | (1) |
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86 | (3) |
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86 | (2) |
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9.2.2 Use of the graphical method |
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88 | (1) |
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89 | (3) |
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89 | (1) |
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90 | (2) |
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9.4 Area, volume and capacity |
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92 | (2) |
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94 | (3) |
10 Geometry |
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97 | (18) |
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97 | (3) |
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99 | (1) |
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100 | (1) |
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101 | (6) |
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101 | (1) |
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10.3.2 Theorem of Pythagoras |
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102 | (2) |
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104 | (3) |
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107 | (3) |
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10.5 Sum of the angles in a polygon |
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110 | (1) |
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111 | (4) |
11 Areas (1) |
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115 | (14) |
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115 | (1) |
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116 | (1) |
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11.3 Area of quadrilaterals |
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117 | (1) |
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118 | (2) |
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11.5 Application of area to practical problems |
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120 | (9) |
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123 | (6) |
12 Volumes (1) |
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129 | (16) |
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129 | (1) |
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12.2 Volume of prisms, cylinders, pyramids and cones |
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130 | (6) |
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12.3 Mass, volume and density |
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136 | (1) |
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12.4 Concrete mix and its constituents |
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137 | (8) |
13 Trigonometry (1) |
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145 | (22) |
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145 | (1) |
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13.2 The trigonometrical ratios |
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145 | (2) |
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13.3 Trigonometric ratios for 30°, 45°, 60° |
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147 | (4) |
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13.4 Angles of elevation and depression |
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151 | (1) |
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152 | (4) |
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156 | (5) |
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13.7 Excavations and embankments |
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161 | (6) |
14 Setting out |
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167 | (16) |
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167 | (1) |
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14.2 Setting out a simple building site |
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167 | (2) |
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14.3 Bay windows and curved brickwork |
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169 | (3) |
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14.4 Checking a building for square corners |
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172 | (2) |
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174 | (4) |
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178 | (5) |
15 Costing: materials and labour |
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183 | (12) |
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183 | (1) |
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183 | (2) |
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185 | (3) |
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188 | (1) |
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189 | (6) |
16 Statistics |
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195 | (20) |
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195 | (1) |
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195 | (1) |
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196 | (1) |
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196 | (2) |
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196 | (1) |
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197 | (1) |
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197 | (1) |
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197 | (1) |
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198 | (2) |
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199 | (1) |
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199 | (1) |
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199 | (1) |
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16.5.4 Comparison of mean, mode and median |
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199 | (1) |
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200 | (1) |
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16.7 Statistical diagrams |
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201 | (5) |
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202 | (1) |
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202 | (1) |
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202 | (1) |
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202 | (4) |
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16.8 Frequency distributions |
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206 | (9) |
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206 | (1) |
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16.8.2 Frequency polygons |
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206 | (2) |
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16.8.3 Cumulative frequency distribution |
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208 | (7) |
17 Areas and volumes (2) |
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215 | (8) |
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215 | (1) |
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17.2 Surface area of a pyramid |
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215 | (3) |
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17.2.1 Frustum of a pyramid |
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216 | (2) |
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17.3 Surface area of a cone |
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218 | (5) |
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219 | (4) |
18 Areas and volumes (3) |
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223 | (12) |
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223 | (1) |
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223 | (1) |
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224 | (1) |
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225 | (2) |
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18.5 Volume of irregular solids |
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227 | (1) |
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228 | (7) |
19 Trigonometry (2) |
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235 | (14) |
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19.1 The sine rule and the cosine rule |
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235 | (8) |
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235 | (5) |
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240 | (3) |
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243 | (6) |
20 Computer techniques |
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249 | (14) |
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249 | (1) |
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20.2 Microsoft Excel 2000 |
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249 | (14) |
21 Assignments |
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263 | (10) |
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263 | (3) |
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266 | (4) |
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270 | (3) |
Appendix 1: Concrete mix |
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273 | (2) |
Appendix 2: Solutions |
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275 | (38) |
Index |
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313 | |