# Topic Questions: 5.2 Graphical solution of two variable problems using ruler and vertex methods. — WDM11 Linear programming > 45 WDM11 Linear programming topic questions (153 marks) on 5.2 Graphical solution of two variable problems… — 16 papers, 2019–2026. Open the exact question… - Canonical HTML: https://www.examsci.com/topics/edexcel-ial/mathematics/decision-mathematics-1-wdm11/linear-programming/5-2-graphical-solution-of-two-variable-problems-using-ruler-and-vertex-methods/ - Markdown mirror: https://www.examsci.com/topics/edexcel-ial/mathematics/decision-mathematics-1-wdm11/linear-programming/5-2-graphical-solution-of-two-variable-problems-using-ruler-and-vertex-methods/index.md --- Edexcel IAL · Mathematics · WDM11 · Linear programming 45 WDM11 Linear programming topic questions are tagged to this syllabus point across 16 papers (2019–2026). Only the parts whose knowledge graph matches this syllabus statement are counted, and the table shows which parts of each question are involved. - 45 topic questions - 16 papers - 153 tagged marks - 49.5% of topic questions - 51.9% of topic marks - 2019–2026 - Syllabus 2018–current - [All WDM11 Linear programming topic questions](https://www.examsci.com/topics/edexcel-ial/mathematics/decision-mathematics-1-wdm11/linear-programming/) - [All paper codes](https://www.examsci.com/topics/) Core finding **This Linear programming syllabus point appears in 16 WDM11 papers across 2019–2026, contributing 45 topic questions and 153 marks.** The most recent appearance is WDM11/01 January 2026. That equals 49.5% of the 91 topic questions and 51.9% of the 295 marks tagged to Linear programming. Only parts tagged to this subtopic are counted, so a four-part question can contribute one item and one part's marks. The table lists every matching question, its tagged parts and marks, with a link back to the paper page. Sessions are newest first, so the statement can be traced back through the full paper history. ## Topic questions by session Newest sessions first. Parts and marks count only the parts tagged to this subtopic; “x of y parts” shows how much of the question is tagged elsewhere. Select the paper cell to open the matching question on the paper page, or use **Go to Practice Hub** to answer that exact question in the Interactive Practice Hub. | Paper | Question | Type | Parts | Marks | Difficulty | Practice | | --- | --- | --- | --- | --- | --- | --- | | [**WDM11/01** January 2026 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/decision-mathematics-1-wdm11/2026-january-wdm11-01/#q-8) | **Q8** Linear Programming Graphical Solution - Edexcel IAL D1 Jan 2026 Q8 | FRQ | 3 of 4 parts ((a), (b), (d)) | 9 of 12 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=fbdffc15-80a9-4ef6-a258-70b2de564454&question_id=95312d65-607f-4e49-9187-b9d7f39f5139&source_detail=WDM11%2F01+January+2026) | | [**WDM11/02** January 2026 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/decision-mathematics-1-wdm11/2026-january-wdm11-02/#q-5) | **Q5** Linear Programming Formulation and Graphical Solution - Edexcel IAL D1 Jan 2026 Q5 | FRQ | 2 of 4 parts ((b), (d)) | 11 of 13 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=920b7e07-f16f-4268-9cc4-a78b8d69695b&question_id=75884c03-2239-49b1-a23d-fc0d58b2e40a&source_detail=WDM11%2F02+January+2026) | | [**WDM11/01** June 2025 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/decision-mathematics-1-wdm11/2025-june-wdm11-01/#q-5) | **Q5** Linear Programming Formulation and Graphical Solution - Edexcel IAL D1 2025 Q5 | FRQ | 1 of 5 parts ((e)) | 4 of 12 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=f36eb865-2514-4425-97dd-557be92cdc53&question_id=235ead96-292d-4789-9e91-6ea52851bc2f&source_detail=WDM11%2F01+June+2025) | | [**WDM11/01** June 2025 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/decision-mathematics-1-wdm11/2025-june-wdm11-01/#q-8) | **Q8** Linear Programming Boundary and Objective Analysis - Edexcel IAL D1 2025 Q8 | FRQ | 2 of 3 parts ((b), (c)) | 8 of 10 on the paper | Hard | [Go to Practice Hub](https://www.examsci.com/practice?set_id=f36eb865-2514-4425-97dd-557be92cdc53&question_id=d4ba85d4-d53d-424a-a4a5-cf2786836cb6&source_detail=WDM11%2F01+June+2025) | | [**WDM11/01** January 2025 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/decision-mathematics-1-wdm11/2025-january-wdm11-01/#q-8) | **Q8** Graphical Linear Programming - Edexcel IAL D1 2025 Jan Q8 | FRQ | 2 of 3 parts ((a), (b)) | 7 of 8 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=0bc76cc1-87ae-43ea-a146-57a7a6dba481&question_id=45628f54-c306-4629-9555-6c8451ac9d55&source_detail=WDM11%2F01+January+2025) | | [**WDM11/01** June 2024 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/decision-mathematics-1-wdm11/2024-june-wdm11-01/#q-7) | **Q7** Graphical Linear Programming - Edexcel IAL D1 2024 Q7 | FRQ | 2 parts ((a), (b)) | 9 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=5f0aa5fd-c7bb-4e39-81fd-cbd20af9b1d9&question_id=cbb2ed46-a907-4b44-a85e-348bfb6d2cb6&source_detail=WDM11%2F01+June+2024) | | [**WDM11/01** January 2024 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/decision-mathematics-1-wdm11/2024-january-wdm11-01/#q-5) | **Q5** Linear Programming - Edexcel IAL D1 Jan 2024 Q5 | FRQ | 1 part | 5 | Hard | [Go to Practice Hub](https://www.examsci.com/practice?set_id=04198801-9090-4180-bd96-a7429907030c&question_id=1e9a8d6a-ccd5-42a5-83ac-318664aed4c7&source_detail=WDM11%2F01+January+2024) | | [**WDM11/01** January 2024 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/decision-mathematics-1-wdm11/2024-january-wdm11-01/#q-7) | **Q7** Linear Programming Formulation and Graphical Method - Edexcel IAL D1 Jan 2024 Q7 | FRQ | 4 of 6 parts ((c), (d)(i), (d)(ii), (d)(iii)) | 9 of 17 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=04198801-9090-4180-bd96-a7429907030c&question_id=2e3f09fc-c299-433b-8248-4d8a7c9365bc&source_detail=WDM11%2F01+January+2024) | | [**WDM11/01** June 2023 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/decision-mathematics-1-wdm11/2023-june-wdm11-01/#q-4) | **Q4** Graphical Linear Programming - Edexcel IAL D1 June 2023 Q4 | FRQ | 4 parts ((a), (b), (c), (d)) | 11 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=a8b13420-afbe-4042-b169-c5d00a5ed804&question_id=0979ec78-8742-4716-bd90-e895bcab2c83&source_detail=WDM11%2F01+June+2023) | | [**WDM11/01** January 2023 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/decision-mathematics-1-wdm11/2023-january-wdm11-01/#q-6) | **Q6** Linear Programming - Edexcel IAL Decision Mathematics D1 Jan 2023 Q6 | FRQ | 2 of 5 parts ((c), (d)) | 8 of 17 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=3c02abf8-e17d-4306-b90f-31e5e88bee92&question_id=d39e684f-174d-4002-8ba6-cf1d415d7d63&source_detail=WDM11%2F01+January+2023) | | [**WDM11/01** June 2022 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/decision-mathematics-1-wdm11/2022-june-wdm11-01/#q-7) | **Q7** Graphical Linear Programming - Edexcel IAL D1 June 2022 Q7 | FRQ | 3 parts ((a)(i), (a)(ii), (b)) | 10 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=6d2516b9-e244-468a-b2b6-b68d2e2732b5&question_id=a900f018-1a70-439e-8b30-c142c68d44d6&source_detail=WDM11%2F01+June+2022) | | [**WDM11/01** January 2022 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/decision-mathematics-1-wdm11/2022-january-wdm11-01/#q-7) | **Q7** Linear Programming Formulation and Graphical Solution - Edexcel IAL D1 Jan 2022 Q7 | FRQ | 3 of 5 parts ((c), (d), (e)) | 8 of 18 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=b43cff04-c4b6-4b09-88d8-716f728cfe81&question_id=c88c0fae-c13f-4b21-a548-9a4c793baf0a&source_detail=WDM11%2F01+January+2022) | | [**WDM11/01** October 2021 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/decision-mathematics-1-wdm11/2021-october-wdm11-01/#q-6) | **Q6** Linear programming - Edexcel IAL D1 October 2021 Q6 | FRQ | 4 parts ((a), (b)(i), (b)(ii), (c)) | 13 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=3b72b234-d813-43f7-ab5b-d39a65544d8e&question_id=14e1ecc6-d52b-485a-b70b-fd8a50603a18&source_detail=WDM11%2F01+October+2021) | | [**WDM11/01** June 2021 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/decision-mathematics-1-wdm11/2021-june-wdm11-01/#q-7) | **Q7** Prim's Algorithm and Linear Programming Constraints - Edexcel IAL Decision Mathematics D1 June 2021 Q7 | FRQ | 1 of 5 parts ((c)) | 4 of 15 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=bec64d2e-ca11-4613-8f1c-8f729d5c455c&question_id=af72ccea-7909-43b1-ba6d-f81a109f6363&source_detail=WDM11%2F01+June+2021) | | [**WDM11/01** January 2021 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/decision-mathematics-1-wdm11/2021-january-wdm11-01/#q-7) | **Q7** Linear Programming and Objective Function - Edexcel IAL D1 2021 Jan Q7 | FRQ | 2 parts ((a), (b)) | 11 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=363e19a8-8c35-4a93-9d87-88a35378536f&question_id=996a2531-ead6-48f3-aa48-fc1993aef9bb&source_detail=WDM11%2F01+January+2021) | | [**WDM11/01** October 2020 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/decision-mathematics-1-wdm11/2020-october-wdm11-01/#q-6) | **Q6** Linear programming - Edexcel IAL D1 2020 Jun Q6 | FRQ | 2 parts ((a), (b)) | 7 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=c25b7eef-6a17-4099-ae04-28b44359a5bf&question_id=45563aa2-19ee-49a9-85ac-82ad9311b9eb&source_detail=WDM11%2F01+October+2020) | | [**WDM11/01** January 2020 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/decision-mathematics-1-wdm11/2020-january-wdm11-01/#q-7) | **Q7** Linear programming - Edexcel IAL D1 2020 Jan Q7 | FRQ | 4 of 7 parts ((c), (d), (e)(i), (e)(ii)) | 9 of 18 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=e10d26ce-a57a-4414-85a8-df4e5d25bcd9&question_id=4d380b53-828f-45f3-a7bd-d7ebb92f5c77&source_detail=WDM11%2F01+January+2020) | | [**WDM11/01** June 2019 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/decision-mathematics-1-wdm11/2019-june-wdm11-01/#q-5) | **Q5** Linear programming - Edexcel IAL D1 2019 Jun Q5 | FRQ | 3 of 7 parts ((d), (e), (f)) | 10 of 18 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=015134b0-982e-4d20-9d99-439657752b32&question_id=ccc2e768-17c7-44fa-a180-93f3af1ea24c&source_detail=WDM11%2F01+June+2019) | ## Related topic questions in Linear programming - [5.1 Formulation of problems as linear programs.](https://www.examsci.com/topics/edexcel-ial/mathematics/decision-mathematics-1-wdm11/linear-programming/5-1-formulation-of-problems-as-linear-programs/) — 43 question items · 16 papers — 139 marks · 2019–2026 - [5.3 Consideration of problems where solutions must have integer values.](https://www.examsci.com/topics/edexcel-ial/mathematics/decision-mathematics-1-wdm11/linear-programming/5-3-consideration-of-problems-where-solutions-must-have-integer-values/) — 9 question items · 8 papers — 27 marks · 2019–2026 ## Topic question rules and edge cases **How many topic questions cover this syllabus point?** 18 question stems cover this subtopic across 16 papers, but only 45 tagged parts and 153 marks belong to it. Other parts of the same questions are assessed under different statements and are excluded from this page. **Which papers include this subtopic?** The table lists every matching session from 2019–2026. Each row links to the question anchor on the paper page, where the full paper context and practice entry point are available. **Why can one question appear under several subtopics?** The parts of one question can assess different syllabus statements. Each part is counted under its own subtopics, so the same question stem can appear on several subtopic pages while each page lists only the parts and marks tagged to that statement. **Can I practise these questions with AI marking?** Yes. Open a paper from the table and use the Interactive Practice Hub entry point. The page itself is static HTML so search engines and retrieval agents can read the full question list without executing JavaScript. --- Full page with native tables, bar charts and Practice Hub links: https://www.examsci.com/topics/edexcel-ial/mathematics/decision-mathematics-1-wdm11/linear-programming/5-2-graphical-solution-of-two-variable-problems-using-ruler-and-vertex-methods/