# Topic Questions: 2.2 The focus-directrix properties of the ellipse and hyperbola, including the eccentricity. — WFM03 Further coordinate systems

> 34 WFM03 Further coordinate systems topic questions (101 marks) on 2.2 The focus-directrix properties of the ellipse… — 15 papers, 2014–2026. Open the exact…

- Canonical HTML: https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-coordinate-systems/2-2-the-focus-directrix-properties-of-the-ellipse-and-hyperbola-including-the/
- Markdown mirror: https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-coordinate-systems/2-2-the-focus-directrix-properties-of-the-ellipse-and-hyperbola-including-the/index.md

---

Edexcel IAL · Mathematics · WFM03 · Further coordinate systems

34 WFM03 Further coordinate systems topic questions are tagged to this syllabus point across 15 papers (2014–2026). Only the parts whose knowledge graph matches this syllabus statement are counted, and the table shows which parts of each question are involved.

- 34 topic questions
- 15 papers
- 101 tagged marks
- 43.0% of topic questions
- 36.9% of topic marks
- 2014–2026
- Syllabus 2014–current
- [All WFM03 Further coordinate systems topic questions](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-coordinate-systems/)
- [All paper codes](https://www.examsci.com/topics/)

Core finding

**This Further coordinate systems syllabus point appears in 15 WFM03 papers across 2014–2026, contributing 34 topic questions and 101 marks.** The most recent appearance is WFM03/01 January 2026. That equals 43.0% of the 79 topic questions and 36.9% of the 274 marks tagged to Further coordinate systems. 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 |
| --- | --- | --- | --- | --- | --- | --- |
| [**WFM03/01** January 2026 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/2026-january-wfm03-01/#q-1) | **Q1** Hyperbola Properties - Edexcel IAL FP3 Jan 2026 Q1 | FRQ | 2 parts ((i), (ii)) | 5 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=fef100ce-ae1f-4eda-8b03-fb1220056d55&question_id=d1dfaa62-3af8-400a-af2d-d38c751c5be8&source_detail=WFM03%2F01+January+2026) |
| [**WFM03/02** January 2026 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/2026-january-wfm03-02/#q-3) | **Q3** Coordinate Geometry of Curves - Hyperbola Tangents and Focus Properties - Edexcel IAL FP3 Jan 2026 Q3 | FRQ | 1 of 3 parts ((c)) | 5 of 11 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=bd27cc0c-ad2c-4810-9040-17c7618428b2&question_id=d083d344-438f-4c43-8a9e-1ffb47c9f971&source_detail=WFM03%2F02+January+2026) |
| [**WFM03/01** June 2025 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/2025-june-wfm03-01/#q-9) | **Q9** Hyperbolas, Tangents and Normals - Edexcel IAL F3 2025 Q9 | FRQ | 2 of 5 parts ((a), (e)) | 7 of 12 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=321dde8b-e2d5-4735-b634-f4645608cc26&question_id=eccde2f9-85f1-40f5-b4ae-812833a4da06&source_detail=WFM03%2F01+June+2025) |
| [**WFM03/01** January 2025 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/2025-january-wfm03-01/#q-2) | **Q2** Hyperbola Properties - Edexcel IAL FP3 Jan 2025 Q2 | FRQ | 2 parts ((a), (b)) | 6 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=13d75753-e4c1-45b2-95df-47669cf01e00&question_id=4dc4798b-6f5b-4384-b679-845cb9be4d7a&source_detail=WFM03%2F01+January+2025) |
| [**WFM03/01** June 2024 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/2024-june-wfm03-01/#q-1) | **Q1** Hyperbola Properties - Edexcel IAL FP3 2024 Jun Q1 | FRQ | 2 parts ((a), (b)) | 6 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=c1c493df-2716-407c-92e0-04993a02fdbe&question_id=7189f2e3-0aa8-47fe-a46f-edd3eefd1d53&source_detail=WFM03%2F01+June+2024) |
| [**WFM03/01** January 2024 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/2024-january-wfm03-01/#q-3) | **Q3** Properties of the Ellipse - Edexcel IAL FP3 Jan 2024 Q3 | FRQ | 5 of 6 parts ((a)(i), (a)(ii), (b), (c), (d)) | 8 of 11 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=1c4a0d21-4fcc-4068-b44d-9bcbaf24a9d2&question_id=974abd3e-2a1a-47a3-96eb-03f56eed7c68&source_detail=WFM03%2F01+January+2024) |
| [**WFM03/01** January 2023 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/2023-january-wfm03-01/#q-2) | **Q2** Hyperbola Properties - Edexcel IAL FP3 Jan 2023 Q2 | FRQ | 2 parts ((a), (b)) | 6 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=08c3e071-a452-4461-9e97-84dfa64d5308&question_id=2408d99f-0327-4d2c-8a71-5b1ca52bbfc2&source_detail=WFM03%2F01+January+2023) |
| [**WFM03/01** January 2023 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/2023-january-wfm03-01/#q-9) | **Q9** Conics: Ellipse Loci - Edexcel IAL FP3 Jan 2023 Q9 | FRQ | 2 of 3 parts ((a), (b)) | 7 of 13 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=08c3e071-a452-4461-9e97-84dfa64d5308&question_id=5f9cf265-237c-4159-85be-3289df7ccbfc&source_detail=WFM03%2F01+January+2023) |
| [**WFM03/01** January 2022 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/2022-january-wfm03-01/#q-8) | **Q8** Properties of Ellipses - Edexcel IAL FP3 Jan 2022 Q8 | FRQ | 2 of 5 parts ((a), (b)) | 4 of 13 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=fef09aae-8533-40c1-b8b7-51631e13d040&question_id=bb6b2460-05a7-4a57-8584-98658f5ccef7&source_detail=WFM03%2F01+January+2022) |
| [**WFM03/01** October 2021 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/2021-october-wfm03-01/#q-7) | **Q7** Hyperbola Properties and Triangles - Edexcel IAL FP3 Oct 2021 Q7 | FRQ | 4 parts ((a), (b), (c), (d)) | 11 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=08ba1e8a-94f0-4941-ac15-58f37b5f8a42&question_id=9bff35f9-c041-4c49-98ed-92f7c07f17d5&source_detail=WFM03%2F01+October+2021) |
| [**WFM03/01** June 2021 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/2021-june-wfm03-01/#q-8) | **Q8** Properties of the Hyperbola and Loci - Edexcel IAL FP3 June 2021 Q8 | FRQ | 1 of 4 parts ((b)) | 2 of 14 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=7387afa9-1290-4489-99c0-80861a67efac&question_id=9d1a78cb-90bf-4c8b-9eca-a32bc571cdeb&source_detail=WFM03%2F01+June+2021) |
| [**WFM03/01** January 2021 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/2021-january-wfm03-01/#q-9) | **Q9** Properties of Ellipses - Edexcel IAL FP3 Jan 2021 Q9 | FRQ | 2 of 3 parts ((b), (c)) | 7 of 12 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=48e18848-8f77-40ca-a915-de8a4a8e6a18&question_id=947c9282-d04a-433a-bdc6-ed5ead75444f&source_detail=WFM03%2F01+January+2021) |
| [**WFM03/01** June 2019 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/2019-june-wfm03-01/#q-1) | **Q1** Hyperbola Properties - Edexcel IAL Further Pure Mathematics F3 Jun 2019 Q1 | FRQ | 2 parts ((a), (b)) | 6 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=665de0c4-932f-42c9-81d7-12776dbdd310&question_id=63b34624-313f-4bd7-be83-f39c1563ca90&source_detail=WFM03%2F01+June+2019) |
| [**WFM03/01** June 2017 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/2017-june-wfm03-01/#q-6) | **Q6** Hyperbolas and Ellipses - Edexcel IAL June 2017 Q6 | FRQ | 1 of 2 parts ((b)) | 5 of 9 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=0734fc3e-d374-4e19-b503-70ac97afbb7d&question_id=c54fa05a-bb20-4510-93e4-8a90492c44a1&source_detail=WFM03%2F01+June+2017) |
| [**WFM03/01** June 2015 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/2015-june-wfm03-01/#q-2) | **Q2** Hyperbola Properties - Edexcel IAL FP3 2015 Jun Q2 | FRQ | 2 parts ((a), (b)) | 5 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=25480c7d-dfbb-4d33-9daf-3c7de1e2f335&question_id=5a2c2c18-8008-4f57-ad0d-059092209f0d&source_detail=WFM03%2F01+June+2015) |
| [**WFM03/01** June 2014 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/2014-june-wfm03-01/#q-2) | **Q2** Further Coordinate Systems - Edexcel F3 June 2014 Q2 | FRQ | 1 part | 6 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=453279c4-d96a-4b7c-b2e4-15bb564db6bb&question_id=dffd5de4-187b-4d71-866b-00686707dd59&source_detail=WFM03%2F01+June+2014) |
| [**WFM03/01** June 2014 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/2014-june-wfm03-01/#q-6) | **Q6** Further Coordinate Systems - Edexcel F3 June 2014 Q6 | FRQ | 1 of 3 parts ((c)) | 5 of 11 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=453279c4-d96a-4b7c-b2e4-15bb564db6bb&question_id=72e4b2e6-3961-4e6c-b147-55e6a5508e0f&source_detail=WFM03%2F01+June+2014) |

## Related topic questions in Further coordinate systems

- [2.1 Cartesian and parametric equations for the ellipse and hyperbola.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-coordinate-systems/2-1-cartesian-and-parametric-equations-for-the-ellipse-and-hyperbola/) — 47 question items · 20 papers — 187 marks · 2014–2026
- [2.3 Tangents and normals to these curves.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-coordinate-systems/2-3-tangents-and-normals-to-these-curves/) — 35 question items · 17 papers — 135 marks · 2014–2026
- [2.4 Simple loci problems.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-coordinate-systems/2-4-simple-loci-problems/) — 12 question items · 11 papers — 59 marks · 2018–2025

## Topic question rules and edge cases

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

17 question stems cover this subtopic across 15 papers, but only 34 tagged parts and 101 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 2014–2026. 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/further-pure-mathematics-3-wfm03/further-coordinate-systems/2-2-the-focus-directrix-properties-of-the-ellipse-and-hyperbola-including-the/