[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-207734-en":3,"doc-seo-207734-105":29,"detail-sidebar-cat-0-en-105":88},{"code":4,"msg":5,"data":6},0,"success",{"doc_id":7,"user_id":8,"nickname":9,"user_avatar":10,"doc_module":4,"category_id":11,"category_name":12,"doc_title":13,"doc_description":14,"doc_content":15,"file_id":16,"file_url":17,"file_type":18,"file_size":19,"view_count":4,"is_deleted":4,"is_public":20,"is_downloadable":20,"audit_status":20,"page_count":20,"language":21,"language_code":22,"site_id":23,"html_lang":22,"table_of_contents":24,"faqs":25,"seo_title":26,"seo_description":14,"update_tm":27,"read_time":28},207734,1099514067438,"River Wang","https://ap-avatar.wpscdn.com/avatar/100002539ee87300030?x-image-process=image/resize,m_fixed,w_180,h_180&k=1780474512215547542",4,"Exam","GCSE Maths Topics Overview - DFM Key Skills","GCSE Maths Topics Overview organizes year-group learning into 19 topic areas spanning number, algebra, data handling, fractions, angles and trigonometry, graphs, area and volume, transformations, equations and inequalities, probability, and higher extensions such as trigonometry, statistics, circle theorems, algebra, and vectors. Each topic is mapped to DFM key skills and linked to specific reference items and coverage percentages, enabling focused revision. Additional resources list topic-filtered practice sites, past-paper question banks, and video support to reinforce understanding through targeted question completion and instant feedback.","GCSE Maths Topics Overview  \n\n| Topics | DFM Key Skills | % |\n| --- | --- | --- |\n| 1. Number |  |  |\n| Number problems | 37, 74, 75, 123, 125, 187 |  |\n| Estimating | 188 |  |\n| HCF and LCM | 53, 97, 161, 162 |  |\n| Calculating with powers | 136 |  |\n| Zero, negative and fractional indices | 191, 192, 196 |  |\n| Standard form | 302, 303, 304, 305 |  |\n| Surds | 335 |  |\n| 2. Algebra |  |  |\n| Algebraic Indices | 191, 192, 196 |  |\n| Expanding and factorising | 252, 300, 363, 364 |  |\n| Equations | 199, 201 |  |\n| Formulae | 201 |  |\n| Linear sequences | 86, 203-206 |  |\n| Non-linear sequences | 370, 371 |  |\n| Further expanding and factorising | 441 |  |\n| 3. Interpreting and representing data |  |  |\n| Statistical diagrams 1 | 238, 240 |  |\n| Time series | 400 |  |\n| Scatter graphs | 244 |  |\n| Line of best fit | 244 |  |\n| Averages and range | 132-134, 207 |  |\n| Statistical diagrams 2 | 235, 236, 65, 246, 316 |  |\n| 4. Fractions, ratio and percentages |  |  |\n| Fractions | 29, 56, 101, 118, 165, 166 |  |\n| Ratio and proportion | 176, 177, 224, 225 |  |\n| Percentages | 130, 172, 215, 219, 220, 221, 223 |  |\n| Fractions, decimals and percentages | 172, 173 |  |\n| 5. Angles and trigonometry |  |  |\n| Angle properties of triangles and quadrilaterals | 147, 149, 150, 151, 263 |  |\n| Interior angles of a polygon | 262 |  |\n| Exterior angles of a polygon | 262 |  |\n| Pythagoras' theorem | 289, 290 |  |\n| Trigonometry | 322, 323, 412 |  |\n| 6. Graphs |  |  |\n| Linear graphs | 83, 273, 269, 271, 274, 275, 445 |  |\n| Graphing rates of change | 150 |  |\n| Real-life graphs | 178, 328 |  |\n| Line segments | 266 |  |\n| Quadratic graphs | 367, 419 |  |\n| Cubic and reciprocal graphs | 446 |  |\n| Interpreting graphs | 272, 273, 445 |  |\n| 7. Area and volume |  |  |\n| Perimeter and area | 72, 79, 138-140, 182, 184 |  |\n| Units of accuracy | 107, 324, 311 |  |\n| Prisms | 145, 231, 232 |  |\n| Circles | 209-211, 319, 320 |  |\n| Cylinders and spheres | 233, 234, 406 |  |\n| Pyramids and cones | 405 |  |\n| 8. Transformations and constructions |  |  |\n| 3D solids | 228 |  |\n| Reflections and rotations | 153, 279-283 |  |\n| Enlargement | 295-298 |  |\n| Translations | 154, 375, 376 |  |\n| Bearings and scale drawings | 265, 284 |  |\n| Constructions and loci | 285, 286 |  |\n| 9. Equations and inequalities |  |  |\n| Solving quadratic equations | 363, 368, 417 |  |\n| Completing the square | 415 |  |\n| Simultaneous equations | 276, 277, 420 |  |\n| Linear inequalities | 310, 340 |  |\n\n\n| 10. Probability |  |  |\n| --- | --- | --- |\n| Combined events | 247 |  |\n| Mutually exclusive events | 249, 250 |  |\n| Experimental probability | 248, 251 |  |\n| Independent events and tree diagrams | 354 |  |\n| Conditional probability | 355 |  |\n| Venn diagrams and set notation | 356 |  |\n| 11. Multiplicative reasoning |  |  |\n| Growth and decay | 176 |  |\n| Compound measures | 329, 326 |  |\n| Ratio and proportion | 224, 90 |  |\n| 12. Similarity and congruence |  |  |\n| Congruence | 471 |  |\n| Geometric proof |  |  |\n| Similarity in 2D and 3D shapes | 293, 325 |  |\n| 13. Further trigonometry |  |  |\n| Accuracy | 412 |  |\n| Graphs of sine and cosine | 431 |  |\n| Tangent function | 431 |  |\n| Calculating areas and the sine rule | 465, 466, 467 |  |\n| Cosine rule and bearings | 465, 466 |  |\n| 3D trigonometry and pythagoras | 410, 411 |  |\n| Transformations of trig graphs | 448, 449 |  |\n| 14. Further Statistics |  |  |\n| Sampling | 347 |  |\n| Cumulative Frequency | 398 |  |\n| Box plots | 399 |  |\n| Drawing histograms | 401 |  |\n| Interpreting histograms | 401 |  |\n| Comparing and describing populations | 347 |  |\n| 15. Equations and graphs |  |  |\n| Solving simultaneous equations graphically | 276 |  |\n| Representing inequalities graphically | 458, 456, 458 |  |\n| Graphs of quadratic functions | 369, 416 |  |\n| Solving quadratic equations graphically | 419 |  |\n| Iteration | 441 |  |\n| Graphs of cubic functions | 426 |  |\n| 16. Circle Theorems |  |  |\n| Radii and chords | ","cbCaidBYBjUuh5T2","https://ap.wps.com/l/cbCaidBYBjUuh5T2","pdf",197204,1,"English","en",105,"# GCSE Maths Topics Overview\n## Number\n## Algebra\n## Interpreting and representing data\n## Fractions, ratio and percentages\n## Angles and trigonometry\n## Graphs\n## Area and volume\n## Transformations and constructions\n## Equations and inequalities\n## Probability\n## Multiplicative reasoning\n## Similarity and congruence\n## Further trigonometry\n## Further Statistics\n## Equations and graphs\n## Circle Theorems\n## Further algebra\n## Vectors and geometric proof\n## Proportion and graphs\n## Additional Resources","[{\"question\":\"What GCSE maths topics are included in this overview?\",\"answer\":\"The overview covers 19 topic areas including number, algebra, data, fractions/percentages, angles \\u0026 trigonometry, graphs, area/volume, transformations, equations \\u0026 inequalities, probability, and further extensions like circle theorems, vectors, and proportion graphs.\"},{\"question\":\"How does the document connect topics to DFM key skills?\",\"answer\":\"For each topic, it lists DFM key skills and associates them with specific reference items and coverage indicators such as percentages.\"},{\"question\":\"What resources are suggested for extra practice?\",\"answer\":\"It recommends Maths Genie, Physicsandmathstutor.com, Corbett Maths, Onmaths, YouTube-Corbett Maths, and Dr Frost, emphasizing past-paper questions, worksheets filtered by topic, and video-guided practice with feedback.\"}]","GCSE Maths Topics Overview - 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