| Personal introduction |
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xi | |
| Only got a minute? |
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xii | |
| Only got five minutes? |
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xiv | |
| Only got ten minutes? |
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xvi | |
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1 | (14) |
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1.1 Introduction - place value |
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1 | (2) |
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1.2 Arithmetic - the four operations |
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3 | (1) |
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4 | (3) |
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1.4 Problems which use arithmetic |
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7 | (1) |
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8 | (2) |
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1.6 Multiples, factors and primes |
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10 | (5) |
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15 | (14) |
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15 | (1) |
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16 | (2) |
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2.3 Measuring and drawing angles |
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18 | (2) |
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20 | (2) |
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22 | (3) |
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25 | (4) |
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29 | (15) |
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29 | (1) |
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29 | (2) |
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3.3 Which fraction is bigger? |
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31 | (1) |
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3.4 Simplifying fractions |
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31 | (2) |
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33 | (1) |
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3.6 Adding and subtracting fractions |
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34 | (2) |
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3.7 Multiplication of fractions |
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36 | (1) |
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3.8 Fractions of quantities |
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37 | (1) |
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3.9 Division of fractions |
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38 | (2) |
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3.10 A number as a fraction of another number |
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40 | (4) |
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44 | (19) |
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44 | (1) |
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44 | (4) |
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4.3 Constructing triangles |
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48 | (2) |
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50 | (2) |
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52 | (1) |
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4.6 Interior and exterior angles |
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53 | (2) |
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4.7 Symmetries of regular polygons |
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55 | (1) |
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55 | (2) |
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57 | (6) |
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63 | (17) |
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63 | (1) |
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64 | (2) |
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5.3 Converting decimals to fractions |
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66 | (1) |
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5.4 Converting fractions to decimals 1 |
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67 | (1) |
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5.5 Addition and subtraction |
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68 | (1) |
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5.6 Multiplication of decimals |
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69 | (3) |
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72 | (2) |
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5.8 Converting fractions to decimals 2 |
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74 | (6) |
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80 | (24) |
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80 | (1) |
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81 | (1) |
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82 | (1) |
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83 | (4) |
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87 | (2) |
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89 | (4) |
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93 | (3) |
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6.8 Discrete and continuous data |
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96 | (1) |
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97 | (7) |
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104 | (9) |
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104 | (1) |
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7.2 Ordering directed numbers |
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105 | (1) |
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7.3 Addition and subtraction |
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106 | (2) |
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7.4 Multiplication and division |
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108 | (3) |
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111 | (2) |
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113 | (12) |
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113 | (3) |
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116 | (5) |
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8.3 Lines parallel to the axes |
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121 | (4) |
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125 | (9) |
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125 | (2) |
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127 | (2) |
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9.3 Converting between metric and imperial units |
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129 | (1) |
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9.4 Choosing suitable units |
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130 | (4) |
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134 | (14) |
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134 | (2) |
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136 | (2) |
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138 | (3) |
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10.4 Area of a parallelogram |
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141 | (1) |
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141 | (3) |
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144 | (4) |
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148 | (21) |
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11.1 Introduction - what is algebra? |
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148 | (1) |
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148 | (3) |
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11.3 Simplifying expressions |
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151 | (2) |
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11.4 Evaluating expressions |
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153 | (2) |
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155 | (1) |
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155 | (3) |
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11.7 Factorizing expressions |
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158 | (1) |
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159 | (1) |
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160 | (3) |
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11.10 Simplifying expressions with indices |
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163 | (6) |
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169 | (13) |
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169 | (1) |
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12.2 Rounding whole numbers |
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169 | (2) |
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12.3 Rounding with decimals |
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171 | (3) |
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174 | (2) |
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176 | (2) |
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12.6 Rounding in practical problems |
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178 | (1) |
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12.7 Accuracy of measurements |
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179 | (3) |
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182 | (13) |
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182 | (1) |
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13.2 Finding missing numbers |
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183 | (1) |
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13.3 Solving linear equations |
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183 | (5) |
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13.4 Equations with brackets |
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188 | (1) |
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13.5 Solving problems using equations |
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189 | (2) |
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13.6 Solving inequalities |
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191 | (4) |
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195 | (14) |
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195 | (1) |
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14.2 Percentages, decimals, fractions |
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195 | (4) |
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14.3 Percentages of quantities |
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199 | (2) |
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14.4 Increasing and decreasing quantities |
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201 | (1) |
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14.5 One quantity as a percentage of another quantity |
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202 | (1) |
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14.6 Percentage increases |
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203 | (2) |
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205 | (4) |
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209 | (7) |
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209 | (2) |
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15.2 Evaluating terms other than the subject |
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211 | (2) |
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15.3 Changing the subject of a formula |
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213 | (3) |
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216 | (13) |
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216 | (2) |
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16.2 Circumference of a circle |
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218 | (3) |
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221 | (3) |
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16.4 Two properties of circles |
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224 | (5) |
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229 | (17) |
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229 | (1) |
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230 | (1) |
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17.3 Probability of a single event |
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231 | (3) |
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234 | (5) |
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239 | (4) |
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243 | (3) |
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18 Three-dimensional shapes |
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246 | (14) |
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246 | (3) |
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18.2 Nets and surface area |
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249 | (2) |
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251 | (2) |
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253 | (3) |
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256 | (4) |
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260 | (13) |
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260 | (2) |
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262 | (3) |
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265 | (2) |
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267 | (2) |
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269 | (4) |
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20 Pythagoras' theorem and trigonometry |
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273 | (19) |
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273 | (1) |
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20.2 Using Pythagoras' theorem |
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274 | (4) |
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20.3 Proof of Pythagoras' theorem |
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278 | (1) |
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20.4 Pythagoras' theorem problems |
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279 | (1) |
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280 | (1) |
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281 | (1) |
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20.7 Values of the tangent |
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282 | (1) |
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283 | (2) |
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285 | (7) |
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21 Indices and standard form |
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292 | (14) |
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292 | (1) |
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293 | (1) |
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294 | (1) |
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21.4 Highest common factor |
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295 | (2) |
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21.5 Lowest common multiple |
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297 | (1) |
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21.6 Standard form - large numbers |
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298 | (3) |
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21.7 Standard form - small numbers |
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301 | (1) |
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21.8 Standard form calculations |
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302 | (4) |
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306 | (16) |
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306 | (1) |
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306 | (1) |
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307 | (2) |
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309 | (3) |
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312 | (1) |
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313 | (2) |
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22.7 Grouped frequency tables |
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315 | (7) |
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322 | (15) |
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23.1 Equations of straight lines |
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322 | (3) |
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23.2 Drawing straight-line graphs |
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325 | (3) |
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23.3 The gradient of a straight line |
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328 | (3) |
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331 | (6) |
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337 | (21) |
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24.1 Simultaneous equations |
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337 | (2) |
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339 | (4) |
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24.3 Quadratic expressions |
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343 | (2) |
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24.4 Factorizing quadratic expressions |
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345 | (3) |
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348 | (1) |
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24.6 Solution by factorizing |
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349 | (3) |
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352 | (6) |
| Answers |
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358 | (30) |
| Taking it further |
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388 | (5) |
| Index |
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393 | |