# Topic Questions: 4.5 Binomial expansion of $(a+bx)^{n}$ for positive integer n. — WMA12 Sequences and series > 45 WMA12 Sequences and series topic questions (148 marks) on 4.5 Binomial expansion of … for positive integer… — 24 papers, 2019–2026. Open the exact… - Canonical HTML: https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/sequences-and-series/4-5-binomial-expansion-of-a-bx-n-for-positive-integer-n/ - Markdown mirror: https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/sequences-and-series/4-5-binomial-expansion-of-a-bx-n-for-positive-integer-n/index.md --- Edexcel IAL · Mathematics · WMA12 · Sequences and series 45 WMA12 Sequences and series topic questions are tagged to this syllabus point across 24 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 - 24 papers - 148 tagged marks - 26.5% of topic questions - 31.2% of topic marks - 2019–2026 - Syllabus 2018–current - [All WMA12 Sequences and series topic questions](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/sequences-and-series/) - [All paper codes](https://www.examsci.com/topics/) Core finding **This Sequences and series syllabus point appears in 24 WMA12 papers across 2019–2026, contributing 45 topic questions and 148 marks.** The most recent appearance is WMA12/01 January 2026. That equals 26.5% of the 170 topic questions and 31.2% of the 475 marks tagged to Sequences and series. 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 | | --- | --- | --- | --- | --- | --- | --- | | [**WMA12/01** January 2026 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2026-january-wma12-01/#q-1) | **Q1** Binomial Expansion - Edexcel IAL Pure Mathematics P2 January 2026 Q1 | FRQ | 2 parts ((a), (b)) | 6 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=1182ffcc-0637-4249-8567-434d1012571d&question_id=8776c1be-3298-4a04-84f3-96f080f60a9f&source_detail=WMA12%2F01+January+2026) | | [**WMA12/02** January 2026 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2026-january-wma12-02/#q-10) | **Q10** Binomial Expansion - Edexcel IAL P2 Jan 2026 Q10 | FRQ | 2 parts ((a), (b)) | 8 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=e370653b-888f-434d-862f-65c74ceaf6f8&question_id=f7aed4b4-a09f-4fde-b190-6ecac616613e&source_detail=WMA12%2F02+January+2026) | | [**WMA12/01** October 2025 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2025-october-wma12-01/#q-2) | **Q2** Binomial Expansion - Edexcel IAL P2 October 2025 Q2 | FRQ | 1 part | 6 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=fc9e4e85-cdf6-4e4f-94ce-f418100896fc&question_id=6b24275e-14b8-444d-a824-e3ab8c551c91&source_detail=WMA12%2F01+October+2025) | | [**WMA12/02** October 2025 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2025-october-wma12-02/#q-2) | **Q2** Binomial Expansion - Edexcel IAL P2 Oct 2025 Q2 | FRQ | 1 part | 4 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=6b2cdbab-addf-4fb1-9b3d-de61de2d4fd7&question_id=b10a3a06-f37c-461d-b6fb-4dd6a6dbc28e&source_detail=WMA12%2F02+October+2025) | | [**WMA12/01** June 2025 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2025-june-wma12-01/#q-1) | **Q1** Binomial Expansion - Edexcel IAL P2 2025 Jun Q1 | FRQ | 2 parts ((a), (b)) | 6 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=3b29e201-1087-4524-98b9-78457fbf55e9&question_id=378d4800-9377-4964-8b60-a9b2c6dffccf&source_detail=WMA12%2F01+June+2025) | | [**WMA12/02** June 2025 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2025-june-wma12-02/#q-7) | **Q7** Binomial Expansion - Edexcel IAL P2 May 2025 Q7 | FRQ | 2 parts ((a), (b)) | 8 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=5f7a54d4-4121-4b2f-887c-4556f663e8ca&question_id=a57c57a2-9a19-4f11-88a4-e30c552c78b9&source_detail=WMA12%2F02+June+2025) | | [**WMA12/01** January 2025 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2025-january-wma12-01/#q-2) | **Q2** Binomial Expansion - Edexcel IAL P2 Jan 2025 Q2 | FRQ | 2 parts ((a), (b)) | 5 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=6cd3c32e-52c6-43e8-813b-2d90c40e2016&question_id=321c707c-e030-4fe2-8153-971375e3d200&source_detail=WMA12%2F01+January+2025) | | [**WMA12/01** October 2024 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2024-october-wma12-01/#q-5) | **Q5** Binomial Expansion - Edexcel IAL Pure Mathematics P2 October 2024 Q5 | FRQ | 2 parts ((a), (b)) | 7 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=6dfd4aa8-3174-4cde-9119-b49521b4b409&question_id=5f1dc477-6962-4e1d-b56a-337c190b6ea3&source_detail=WMA12%2F01+October+2024) | | [**WMA12/01** June 2024 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2024-june-wma12-01/#q-1) | **Q1** Binomial Expansion - Edexcel IAL P2 May 2024 Q1 | FRQ | 2 parts ((a), (b)) | 5 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=db0de4f6-4b04-4261-96dd-b2b034be8e4b&question_id=bfd6355f-4ece-4fc3-b60f-0e1fb67d6775&source_detail=WMA12%2F01+June+2024) | | [**WMA12/02** June 2024 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2024-june-wma12-02/#q-4) | **Q4** Binomial Expansion - Edexcel IAL P2 2024 May Q4 | FRQ | 2 parts ((a), (b)) | 7 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=62e30710-9cc7-42ca-bf99-269350889283&question_id=492de2cc-d36b-40aa-b4df-ca3465833fe3&source_detail=WMA12%2F02+June+2024) | | [**WMA12/01** January 2024 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2024-january-wma12-01/#q-2) | **Q2** Binomial Expansion - Edexcel IAL P2 Jan 2024 Q2 | FRQ | 1 part | 3 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=a0493aa0-a6ae-4894-b7b6-3d80012a67a5&question_id=2b6b1569-9e2e-4e51-9d2a-916bd0ebe63a&source_detail=WMA12%2F01+January+2024) | | [**WMA12/01** October 2023 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2023-october-wma12-01/#q-10) | **Q10** Binomial Expansion and Geometric Series - Edexcel IAL Pure Mathematics P2 October 2023 Q10 | FRQ | 2 of 4 parts ((i)(a), (i)(b)) | 6 of 12 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=ea647e35-aee5-4abf-98b2-2fd1b40208a3&question_id=50dd6f92-310b-4179-8a0d-59bfccec5c3b&source_detail=WMA12%2F01+October+2023) | | [**WMA12/01** June 2023 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2023-june-wma12-01/#q-4) | **Q4** Binomial Expansion - Edexcel IAL Pure Mathematics P2 June 2023 Q4 | FRQ | 3 parts ((a), (b)(i), (b)(ii)) | 7 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=5a8a3039-915a-4831-bbbb-110e0cc3cbe8&question_id=49a8d98e-cea3-4735-a6b6-afc6c2794b1c&source_detail=WMA12%2F01+June+2023) | | [**WMA12/01** January 2023 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2023-january-wma12-01/#q-3) | **Q3** Binomial Expansion and Arithmetic Progressions - Edexcel IAL P2 Jan 2023 Q3 | FRQ | 2 parts ((a), (b)) | 7 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=00333ac2-68f8-4dc9-ab96-d583ac9e5d2a&question_id=9f55b2f1-b1a5-4c31-8f90-8a837ef62d0d&source_detail=WMA12%2F01+January+2023) | | [**WMA12/01** October 2022 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2022-october-wma12-01/#q-2) | **Q2** Algebraic Division and Binomial Expansion - Edexcel IAL Pure Mathematics P2 October 2022 Q2 | FRQ | 1 of 3 parts ((b)) | 3 of 7 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=68ff7e5a-d114-4fa3-bc4f-dc6aadb51c92&question_id=eec66daf-27cf-4939-9e29-9f94efaf4b1b&source_detail=WMA12%2F01+October+2022) | | [**WMA12/01** June 2022 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2022-june-wma12-01/#q-1) | **Q1** Binomial Expansion - Edexcel IAL Pure Mathematics P2 June 2022 Q1 | FRQ | 1 part | 4 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=26fa1d84-d3ab-4d15-8e1e-974881975a31&question_id=13bfc077-be1f-482c-811a-81d5387bd963&source_detail=WMA12%2F01+June+2022) | | [**WMA12/01** January 2022 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2022-january-wma12-01/#q-3) | **Q3** Binomial Expansion - Edexcel IAL P2 Jan 2022 Q3 | FRQ | 2 parts ((a), (b)) | 7 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=181d8146-11ed-496e-b933-f1b210e805cb&question_id=92130819-37a5-45bf-8dcf-779a83eba4a5&source_detail=WMA12%2F01+January+2022) | | [**WMA12/01** October 2021 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2021-october-wma12-01/#q-1) | **Q1** Binomial Expansion - Edexcel IAL P2 October 2021 Q1 | FRQ | 2 parts ((a), (b)) | 6 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=93238783-dcf0-4ffd-8ca6-1528ee01fa97&question_id=fc4d3e40-b65d-4111-887d-664930d354e2&source_detail=WMA12%2F01+October+2021) | | [**WMA12/01** June 2021 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2021-june-wma12-01/#q-4) | **Q4** Binomial Expansion - Edexcel IAL Pure Mathematics P2 June 2021 Q4 | FRQ | 3 parts ((a), (b), (c)) | 8 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=bb1224e2-2dbe-4d14-b02d-1157c50a7e7c&question_id=42f77882-4978-4fa4-8d17-ade8ea03333a&source_detail=WMA12%2F01+June+2021) | | [**WMA12/01** January 2021 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2021-january-wma12-01/#q-4) | **Q4** Binomial Expansion - Edexcel IAL P2 Jan 2021 Q4 | FRQ | 2 parts ((a), (b)) | 8 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=e17c04c8-1fad-49a0-bfca-b7b74e7807e4&question_id=75ff03cf-1a72-4d71-af30-d206fcde7462&source_detail=WMA12%2F01+January+2021) | | [**WMA12/01** October 2020 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2020-october-wma12-01/#q-1) | **Q1** Binomial Expansion - Edexcel IAL P2 2020 May Q1 | FRQ | 2 parts ((a), (b)) | 7 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=448d93b4-63ac-4635-a05e-8d585589e39f&question_id=cab27bbf-339c-427f-b5dd-a1e187a36a93&source_detail=WMA12%2F01+October+2020) | | [**WMA12/01** January 2020 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2020-january-wma12-01/#q-2) | **Q2** Binomial Expansion - Edexcel IAL P2 Jan 2020 Q2 | FRQ | 2 parts ((a), (b)) | 7 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=79c9d77a-9dd2-498d-884a-7da7a3e5f7ed&question_id=febd4c24-e65f-4f17-8092-9b13b421965f&source_detail=WMA12%2F01+January+2020) | | [**WMA12/01** October 2019 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2019-october-wma12-01/#q-3) | **Q3** Binomial Expansion and Term Independent of x - Edexcel IAL Pure Mathematics P2 October 2019 Q3 | FRQ | 2 parts ((a), (b)) | 6 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=68e61f2a-299a-4e1e-a4ae-a8de979c8029&question_id=c56d6035-f9b1-42cb-9c99-dc9be92619df&source_detail=WMA12%2F01+October+2019) | | [**WMA12/01** June 2019 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2019-june-wma12-01/#q-4) | **Q4** Binomial Expansion - Edexcel IAL P2 2019 Jun Q4 | FRQ | 2 parts ((a), (b)) | 7 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=9bc526e7-e2bc-45cd-a6db-300f067c3553&question_id=ab2d19b1-4980-4544-bec3-56163bc7483e&source_detail=WMA12%2F01+June+2019) | ## Related topic questions in Sequences and series - [4.1 Sequences, including those given by a formula for the nth term and those generated by a simple relation of the form $x_{n+1}=f(x_{n})$.](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/sequences-and-series/4-1-sequences-including-those-given-by-a-formula-for-the-nth-term-and-those-generated/) — 28 question items · 14 papers — 68 marks · 2019–2026 - [4.2 Understand and work with arithmetic sequences and series, including the formula for the th term and the sum of a finite arithmetic series; the sum of the first n natural numbers.](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/sequences-and-series/4-2-understand-and-work-with-arithmetic-sequences-and-series-including-the-formula/) — 48 question items · 22 papers — 125 marks · 2019–2026 - [4.3 Increasing sequences, decreasing sequences and periodic sequences.](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/sequences-and-series/4-3-increasing-sequences-decreasing-sequences-and-periodic-sequences/) — 12 question items · 7 papers — 26 marks · 2019–2026 - [4.4 Understand and work with geometric sequences and series, including the formulae for the th term and the sum of a finite geometric series; the sum to infinity of a convergent geometric series, including the use of $|r|<1$](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/sequences-and-series/4-4-understand-and-work-with-geometric-sequences-and-series-including-the-formulae/) — 54 question items · 23 papers — 156 marks · 2019–2026 ## Topic question rules and edge cases **How many topic questions cover this syllabus point?** 24 question stems cover this subtopic across 24 papers, but only 45 tagged parts and 148 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/pure-mathematics-2-wma12/sequences-and-series/4-5-binomial-expansion-of-a-bx-n-for-positive-integer-n/