# Topic Questions: 3.2 The practical and classical Travelling Salesman problems. The classical problem for complete graphs satisfying the triangle inequality. — WDM11 Algorithms on graphs II

> 14 WDM11 Algorithms on graphs II topic questions (20 marks) on 3.2 The practical and classical Travelling… — 9 papers, 2020–2026. Open the exact question in…

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Edexcel IAL · Mathematics · WDM11 · Algorithms on graphs II

14 WDM11 Algorithms on graphs II topic questions are tagged to this syllabus point across 9 papers (2020–2026). Only the parts whose knowledge graph matches this syllabus statement are counted, and the table shows which parts of each question are involved.

- 14 topic questions
- 9 papers
- 20 tagged marks
- 14.1% of topic questions
- 8.3% of topic marks
- 2020–2026
- Syllabus 2018–current
- [All WDM11 Algorithms on graphs II topic questions](https://www.examsci.com/topics/edexcel-ial/mathematics/decision-mathematics-1-wdm11/algorithms-on-graphs-ii/)
- [All paper codes](https://www.examsci.com/topics/)

Core finding

**This Algorithms on graphs II syllabus point appears in 9 WDM11 papers across 2020–2026, contributing 14 topic questions and 20 marks.** The most recent appearance is WDM11/01 January 2026. That equals 14.1% of the 99 topic questions and 8.3% of the 242 marks tagged to Algorithms on graphs II. 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-6) | **Q6** Travelling Salesman Problem - Edexcel IAL D1 Jan 2026 Q6 | FRQ | 1 of 4 parts ((b)) | 1 of 10 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=fbdffc15-80a9-4ef6-a258-70b2de564454&question_id=253c23ba-2f38-4df1-a236-eeab0b9b480d&source_detail=WDM11%2F01+January+2026) |
| [**WDM11/01** January 2025 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/decision-mathematics-1-wdm11/2025-january-wdm11-01/#q-6) | **Q6** Travelling Salesman Problem - Edexcel IAL D1 2025 Jan Q6 | FRQ | 1 of 7 parts ((a)) | 2 of 13 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=0bc76cc1-87ae-43ea-a146-57a7a6dba481&question_id=63abcefd-bd0d-426b-a74f-bd16c9fd5cf3&source_detail=WDM11%2F01+January+2025) |
| [**WDM11/01** January 2024 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/decision-mathematics-1-wdm11/2024-january-wdm11-01/#q-2) | **Q2** Algorithms on Graphs - Edexcel IAL D1 Jan 2024 Q2 | FRQ | 1 of 5 parts ((d)) | 1 of 10 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=04198801-9090-4180-bd96-a7429907030c&question_id=2f42fd61-666f-4a44-a5ff-38b19b1dbdd7&source_detail=WDM11%2F01+January+2024) |
| [**WDM11/01** June 2022 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/decision-mathematics-1-wdm11/2022-june-wdm11-01/#q-3) | **Q3** Minimum Spanning Trees & Travelling Salesman - Edexcel IAL D1 June 2022 Q3 | FRQ | 2 of 8 parts ((f), (h)) | 2 of 14 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=6d2516b9-e244-468a-b2b6-b68d2e2732b5&question_id=e48fd222-633c-4cf0-b97b-f5b6be8f6505&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-2) | **Q2** Graphs and Kruskal's Algorithm - Edexcel IAL D1 Jan 2022 Q2 | FRQ | 1 of 5 parts ((b)) | 1 of 7 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=b43cff04-c4b6-4b09-88d8-716f728cfe81&question_id=afbc2c42-2407-4078-ba28-4398c67a602d&source_detail=WDM11%2F01+January+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-6) | **Q6** Dijkstra, Nearest Neighbour and Travelling Salesman - Edexcel IAL D1 Jan 2022 Q6 | FRQ | 1 of 4 parts ((d)) | 2 of 14 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=b43cff04-c4b6-4b09-88d8-716f728cfe81&question_id=699ea16c-151a-4a42-88f6-12e6ca237292&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-3) | **Q3** Algorithms on graphs II - Edexcel IAL D1 October 2021 Q3 | FRQ | 1 of 7 parts ((e)) | 1 of 15 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=3b72b234-d813-43f7-ab5b-d39a65544d8e&question_id=9b97ed73-2071-407a-b9f5-733613b37b46&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-4) | **Q4** Travelling Salesman and Route Inspections - Edexcel IAL Decision Mathematics D1 June 2021 Q4 | FRQ | 2 of 5 parts ((a), (c)) | 3 of 13 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=bec64d2e-ca11-4613-8f1c-8f729d5c455c&question_id=77f7a1f1-ac52-4c15-ae81-3cda18a06b76&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-4) | **Q4** Travelling Salesperson Problem - Edexcel IAL D1 2021 Jan Q4 | FRQ | 3 of 7 parts ((a), (c), (f)) | 5 of 12 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=363e19a8-8c35-4a93-9d87-88a35378536f&question_id=a37929f3-785d-4ac8-94ed-1fcf3f427497&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-3) | **Q3** Algorithms on graphs II - Edexcel IAL D1 2020 Jun Q3 | FRQ | 1 of 3 parts ((a)) | 2 of 7 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=c25b7eef-6a17-4099-ae04-28b44359a5bf&question_id=332ddccc-6518-4bb6-bb90-35a7bdd2ab5d&source_detail=WDM11%2F01+October+2020) |

## Related topic questions in Algorithms on graphs II

- [3.1 Algorithm for finding the shortest route around a network, travelling along every edge at least once and ending at the start vertex. The network will have up to four odd nodes.](https://www.examsci.com/topics/edexcel-ial/mathematics/decision-mathematics-1-wdm11/algorithms-on-graphs-ii/3-1-algorithm-for-finding-the-shortest-route-around-a-network-travelling-along-every/) — 42 question items · 16 papers — 124 marks · 2019–2026
- [3.3 Determination of upper and lower bounds using minimum spanning tree methods.](https://www.examsci.com/topics/edexcel-ial/mathematics/decision-mathematics-1-wdm11/algorithms-on-graphs-ii/3-3-determination-of-upper-and-lower-bounds-using-minimum-spanning-tree-methods/) — 30 question items · 15 papers — 64 marks · 2019–2026
- [3.4 The nearest neighbour algorithm.](https://www.examsci.com/topics/edexcel-ial/mathematics/decision-mathematics-1-wdm11/algorithms-on-graphs-ii/3-4-the-nearest-neighbour-algorithm/) — 19 question items · 15 papers — 43 marks · 2019–2026

## Topic question rules and edge cases

**How many topic questions cover this syllabus point?**

10 question stems cover this subtopic across 9 papers, but only 14 tagged parts and 20 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 2020–2026. 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.

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