Topic Skills to Revise Prime factorisation Highest common factor Number Properties Multiple of a number Lowest common multiple Negative numbers Decimals Adding & subtracting positive & negative numbers Multiplying positive & negative numbers Dividing positive & negative numbers Multiplication with decimals Division of decimals Convert recurring decimals to fractions Round decimal numbers Express one number as a fraction of another Improper fractions to mixed numbers Mixed numbers to improper fractions Add or subtract fractions (different denominator) Fractions Multiply whole number by fractions Dividing fractions Reciprocal of fractions Convert fractions to decimals and percentages Convert percentages to fractions Find percentages of amounts Percentage increase or decrease Percentages Repeated percentage increase or decrease Compound interest Depreciation Reverse percentages Percentage change Solving problems with percentages Square & cube roots Clip number Link to video tutorial and quiz Preview quiz questions 29 30 31 32 33 34 35 36 https://hegartymaths.com/prime‐factorisation‐1 https://hegartymaths.com/prime‐factorisation‐2 https://hegartymaths.com/highest‐common‐factor‐listing https://hegartymaths.com/highest‐common‐factor‐prime‐factorisation https://hegartymaths.com/multiple‐of‐a‐number https://hegartymaths.com/lowest‐common‐multiple‐listing https://hegartymaths.com/lowest‐common‐multiple‐prime‐factorisation https://hegartymaths.com/lcm‐worded‐problems https://hegartymaths.com/skills/29/preview https://hegartymaths.com/skills/30/preview https://hegartymaths.com/skills/31/preview https://hegartymaths.com/skills/32/preview https://hegartymaths.com/skills/33/preview https://hegartymaths.com/skills/34/preview https://hegartymaths.com/skills/35/preview https://hegartymaths.com/skills/36/preview 41 42 43 48 50 53 54 56 62 63 64 https://hegartymaths.com/adding‐subtracting‐positive‐negative‐numbers https://hegartymaths.com/multiplying‐positive‐negative‐numbers 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https://hegartymaths.com/find‐percentages‐of‐amounts‐4‐using‐calculator https://hegartymaths.com/percentage‐increase‐or‐decrease‐non‐calc https://hegartymaths.com/percentagedecimal‐multipliers https://hegartymaths.com/percentage‐increase‐or‐decrease https://hegartymaths.com/repeated‐percentage‐increase‐or‐decrease‐1 https://hegartymaths.com/repeated‐percentage‐increase‐or‐decrease‐2 https://hegartymaths.com/compound‐interest https://hegartymaths.com/depreciation https://hegartymaths.com/reverse‐percentages https://hegartymaths.com/percentage‐change https://hegartymaths.com/percentages‐worded‐problems https://hegartymaths.com/square‐cube‐roots https://hegartymaths.com/skills/66/preview https://hegartymaths.com/skills/67/preview https://hegartymaths.com/skills/68/preview https://hegartymaths.com/skills/69/preview https://hegartymaths.com/skills/70/preview https://hegartymaths.com/skills/71/preview https://hegartymaths.com/skills/73/preview https://hegartymaths.com/skills/74/preview https://hegartymaths.com/skills/75/preview https://hegartymaths.com/skills/76/preview https://hegartymaths.com/skills/82/preview https://hegartymaths.com/skills/84/preview https://hegartymaths.com/skills/85/preview https://hegartymaths.com/skills/86/preview https://hegartymaths.com/skills/87/preview https://hegartymaths.com/skills/88/preview https://hegartymaths.com/skills/89/preview https://hegartymaths.com/skills/90/preview https://hegartymaths.com/skills/91/preview https://hegartymaths.com/skills/92/preview https://hegartymaths.com/skills/94/preview https://hegartymaths.com/skills/95/preview https://hegartymaths.com/skills/96/preview https://hegartymaths.com/skills/97/preview https://hegartymaths.com/skills/98/preview https://hegartymaths.com/skills/101/preview Index form Indices, powers and roots Manipulating expressions with surds Rationalising the denominator Recognising standard form Standard form Estimation Multiplying with standard form Dividing with standard form Adding & subtracting with standard form Using a calculator with standard form Complex calculations using a calculator Round to significant figures Estimate complex calculations Appropriate degrees of accuracy Round numbers in standard form Truncation Use multiplication and division facts to answer related questions Upper & lower bounds Simplifying expressions Expand single, double and triple brackets Manipulating expressions Factorising expressions 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 158 159 160 161 162 163 164 165 166 167 168 169 170 171 https://hegartymaths.com/index‐form‐1‐intro https://hegartymaths.com/index‐form‐2‐power‐of‐0‐1 https://hegartymaths.com/index‐form‐3‐power‐of‐negative‐integers https://hegartymaths.com/index‐form‐4‐multiplying‐indices https://hegartymaths.com/index‐form‐5‐dividing‐indices https://hegartymaths.com/index‐form‐6‐power‐of‐power‐rule https://hegartymaths.com/index‐form‐7‐powers‐of‐unit‐fractions https://hegartymaths.com/index‐form‐8‐powers‐of‐non‐unit‐fractions https://hegartymaths.com/index‐form‐9‐combination‐of‐rules https://hegartymaths.com/what‐is‐a‐surd https://hegartymaths.com/estimating‐a‐surd‐value https://hegartymaths.com/multiplication‐division‐with‐surds‐1 https://hegartymaths.com/multiplication‐division‐with‐surds‐2 https://hegartymaths.com/simplifying‐surds https://hegartymaths.com/brackets‐involving‐surds‐1 https://hegartymaths.com/brackets‐involving‐surds‐2 https://hegartymaths.com/rationalising‐surds‐1 https://hegartymaths.com/rationalising‐surds‐2 https://hegartymaths.com/ordinary‐to‐standard‐form https://hegartymaths.com/standard‐form‐to‐ordinary https://hegartymaths.com/adjusting‐to‐correct‐standard‐form https://hegartymaths.com/multiplying‐with‐standard‐form https://hegartymaths.com/dividing‐with‐standard‐form https://hegartymaths.com/adding‐subtracting‐with‐standard‐form https://hegartymaths.com/using‐a‐calculator‐with‐standard‐form https://hegartymaths.com/complex‐calculations‐using‐a‐calculator https://hegartymaths.com/round‐to‐significant‐figures https://hegartymaths.com/estimate‐complex‐calculations https://hegartymaths.com/appropriate‐degrees‐of‐accuracy https://hegartymaths.com/round‐numbers‐in‐standard‐form https://hegartymaths.com/truncation https://hegartymaths.com/related‐calculations‐1 https://hegartymaths.com/related‐calculations‐2 https://hegartymaths.com/upper‐lower‐bounds‐1 https://hegartymaths.com/upper‐lower‐bounds‐2‐worded https://hegartymaths.com/upper‐lower‐bounds‐3‐calculations https://hegartymaths.com/simplifying‐expressions‐involving‐multiplication https://hegartymaths.com/simplifying‐expressions‐involving‐division https://hegartymaths.com/expand‐a‐single‐bracket https://hegartymaths.com/expand‐two‐single‐brackets‐simplify https://hegartymaths.com/expand‐double‐brackets‐1 https://hegartymaths.com/expand‐double‐brackets‐2 https://hegartymaths.com/expand‐double‐brackets‐3 https://hegartymaths.com/expand‐brackets‐difference‐of‐two‐squares https://hegartymaths.com/expand‐triple‐brackets https://hegartymaths.com/hcf‐of‐algebraic‐expressions https://hegartymaths.com/factorise‐simple‐expressions‐1 https://hegartymaths.com/factorise‐simple‐expressions‐2 https://hegartymaths.com/simplifying‐expressions‐by‐factorising‐1 https://hegartymaths.com/simplifying‐expressions‐by‐factorising‐2 https://hegartymaths.com/skills/102/preview https://hegartymaths.com/skills/103/preview https://hegartymaths.com/skills/104/preview https://hegartymaths.com/skills/105/preview https://hegartymaths.com/skills/106/preview https://hegartymaths.com/skills/107/preview https://hegartymaths.com/skills/108/preview https://hegartymaths.com/skills/109/preview https://hegartymaths.com/skills/110/preview https://hegartymaths.com/skills/111/preview https://hegartymaths.com/skills/112/preview https://hegartymaths.com/skills/113/preview 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https://hegartymaths.com/skills/138/preview https://hegartymaths.com/skills/139/preview https://hegartymaths.com/skills/158/preview https://hegartymaths.com/skills/159/preview https://hegartymaths.com/skills/160/preview https://hegartymaths.com/skills/161/preview https://hegartymaths.com/skills/162/preview https://hegartymaths.com/skills/163/preview https://hegartymaths.com/skills/164/preview https://hegartymaths.com/skills/165/preview https://hegartymaths.com/skills/166/preview https://hegartymaths.com/skills/167/preview https://hegartymaths.com/skills/168/preview https://hegartymaths.com/skills/169/preview https://hegartymaths.com/skills/170/preview https://hegartymaths.com/skills/171/preview Expressions with algebraic fractions Indices with algebraic expressions Forming equations Solve linear equations Linear equations Solve simultaneous linear equations Find the nth term of a linear sequence Midpoint of a line segment Gradient of a line segment Linear sequences and graphs Straight line graphs Straight line graphs that are parallel Straight line graphs that are perpendicular Solving equations using straight line graphs Solving simultaneous equations using straight lines Factorise quadratic expressions Simplify algebraic fractions (involving quadratics) 172 173 174 175 176 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 198 200 201 202 203 204 206 207 208 209 210 211 212 213 214 215 216 217 218 219 223 224 225 226 227 228 https://hegartymaths.com/expressions‐with‐algebraic‐fractions https://hegartymaths.com/indices‐with‐algebraic‐expressions‐1 https://hegartymaths.com/indices‐with‐algebraic‐expressions‐2 https://hegartymaths.com/indices‐with‐algebraic‐expressions‐3 https://hegartymaths.com/forming‐equations https://hegartymaths.com/solve‐2‐step‐equations‐involving‐multiplication https://hegartymaths.com/solve‐2‐step‐equations‐involving‐division https://hegartymaths.com/solve‐2‐step‐equations‐x‐on‐denominator https://hegartymaths.com/solve‐2‐step‐equations‐x‐negative https://hegartymaths.com/solve‐3‐step‐equations https://hegartymaths.com/solve‐equations‐with‐x‐on‐both‐sides‐1 https://hegartymaths.com/solve‐equations‐with‐x‐on‐both‐sides‐2 https://hegartymaths.com/solve‐equations‐with‐x‐on‐both‐sides‐3 https://hegartymaths.com/solve‐equations‐with‐algebraic‐fractions https://hegartymaths.com/set‐up‐solve‐equations‐in‐context https://hegartymaths.com/substituting‐solving https://hegartymaths.com/simultaneous‐equations‐by‐elimination‐1‐intro https://hegartymaths.com/simultaneous‐equations‐by‐elimination‐2 https://hegartymaths.com/simultaneous‐equations‐by‐elimination‐3 https://hegartymaths.com/simultaneous‐equations‐by‐elimination‐4 https://hegartymaths.com/simultaneous‐equations‐by‐substitution https://hegartymaths.com/simultaneous‐equations‐in‐context https://hegartymaths.com/linear‐sequences‐nth‐term https://hegartymaths.com/midpoint‐of‐a‐line‐segment https://hegartymaths.com/gradient‐of‐a‐line‐segment‐1 https://hegartymaths.com/gradient‐of‐a‐line‐segment‐2‐negative https://hegartymaths.com/gradient‐of‐a‐line‐segment‐3‐fractions https://hegartymaths.com/gradient‐of‐a‐line‐segment‐4‐summary https://hegartymaths.com/straight‐line‐graphs‐1 https://hegartymaths.com/straight‐line‐graphs‐2 https://hegartymaths.com/straight‐line‐graphs‐3 https://hegartymaths.com/straight‐line‐graphs‐4 https://hegartymaths.com/straight‐line‐graphs‐5 https://hegartymaths.com/straight‐line‐graphs‐6 https://hegartymaths.com/straight‐line‐graphs‐7 https://hegartymaths.com/straight‐line‐graphs‐8 https://hegartymaths.com/straight‐line‐graphs‐parallel https://hegartymaths.com/straight‐line‐graphs‐perpendicular‐1 https://hegartymaths.com/straight‐line‐graphs‐perpendicular‐2 https://hegartymaths.com/solving‐equations‐straight‐lines https://hegartymaths.com/solving‐simultaneous‐equations‐using‐straight‐lines‐1 https://hegartymaths.com/solving‐simultaneous‐equations‐using‐straight‐lines‐2 https://hegartymaths.com/factorise‐quadratic‐expressions‐1 https://hegartymaths.com/factorise‐quadratic‐expressions‐2 https://hegartymaths.com/factorise‐quadratic‐expressions‐3 https://hegartymaths.com/factorise‐quadratic‐expressions‐4 https://hegartymaths.com/factorise‐quadratic‐expressions‐5 https://hegartymaths.com/factorise‐quadratic‐expressions‐6 https://hegartymaths.com/skills/172/preview https://hegartymaths.com/skills/173/preview https://hegartymaths.com/skills/174/preview https://hegartymaths.com/skills/175/preview https://hegartymaths.com/skills/176/preview https://hegartymaths.com/skills/179/preview https://hegartymaths.com/skills/180/preview https://hegartymaths.com/skills/181/preview https://hegartymaths.com/skills/182/preview https://hegartymaths.com/skills/183/preview https://hegartymaths.com/skills/184/preview https://hegartymaths.com/skills/185/preview 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equations involving quadratics Identify a quadratic sequence Find the nth term of a quadratic sequence Use the nth term of a quadratic sequence Drawing quadratic graphs from a table Quadratic sequences & Quadratic graphs graphs Other sequences Inequalities Simultaneous equations using graphs (quadratic & linear) Using a quadratic graph to solve a related quadratic equation Important sequences Sequences from recurrence relations Fibonacci sequence Geometric sequences Representing inequalities on a number line Writing inequalities from a number line Integer solutions to inequalities Multiple inequalities on a number line Solve linear inequalities Shading linear inequalities as graph regions Solving quadratic inequalities 230 231 232 233 234 235 236 237 238 239 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 https://hegartymaths.com/solving‐quadratic‐equations‐1‐by‐factorising https://hegartymaths.com/solving‐quadratic‐equations‐2‐by‐factorising 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https://hegartymaths.com/simultaneous‐equations‐using‐graphs‐quadratic‐linear https://hegartymaths.com/skills/259/preview 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 https://hegartymaths.com/using‐a‐quadratic‐graph‐to‐solve‐a‐related‐quadratic‐equation https://hegartymaths.com/important‐sequences https://hegartymaths.com/sequences‐from‐recurrence‐relations https://hegartymaths.com/fibonacci‐sequence https://hegartymaths.com/geometric‐sequences https://hegartymaths.com/representing‐inequalities‐on‐a‐number‐line https://hegartymaths.com/writing‐inequalities‐from‐a‐number‐line https://hegartymaths.com/integer‐solutions‐to‐inequalities https://hegartymaths.com/multiple‐inequalities‐on‐a‐number‐line https://hegartymaths.com/solve‐single‐linear‐inequalities‐1‐positive‐x https://hegartymaths.com/solve‐single‐linear‐inequalities‐2‐negative‐x https://hegartymaths.com/solve‐single‐linear‐inequalities‐3‐difficult 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