# Topic Questions: • understand and use the relationship between the change in energy of a system and the work done by the external forces, and use in appropriate cases the principle of conservation of energy — 9709 P4 Energy, work and power > 30 9709 P4 Energy, work and power topic questions (109 marks) on understand and use the relationship between the… — 19 papers, 2020–2025. Open the exact… - Canonical HTML: https://www.examsci.com/topics/cie-ial/mathematics/9709-p4/energy-work-and-power/understand-and-use-the-relationship-between-the-change-in-energy-of-a-system-and-the/ - Markdown mirror: https://www.examsci.com/topics/cie-ial/mathematics/9709-p4/energy-work-and-power/understand-and-use-the-relationship-between-the-change-in-energy-of-a-system-and-the/index.md --- CIE IAL · Mathematics · 9709 P4 · Energy, work and power 30 9709 P4 Energy, work and power topic questions are tagged to this syllabus point across 19 papers (2020–2025). Only the parts whose knowledge graph matches this syllabus statement are counted, and the table shows which parts of each question are involved. - 30 topic questions - 19 papers - 109 tagged marks - 15.2% of topic questions - 16.3% of topic marks - 2020–2025 - Syllabus 2020–2027 - [All 9709 P4 Energy, work and power topic questions](https://www.examsci.com/topics/cie-ial/mathematics/9709-p4/energy-work-and-power/) - [All paper codes](https://www.examsci.com/topics/) Core finding **This Energy, work and power syllabus point appears in 19 9709 P4 papers across 2020–2025, contributing 30 topic questions and 109 marks.** The most recent appearance is 9709/41 October/November 2025. That equals 15.2% of the 198 topic questions and 16.3% of the 668 marks tagged to Energy, work and power. 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 | | --- | --- | --- | --- | --- | --- | --- | | [**9709/41** October/November 2025 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p4/2025-october-november-9709-41/#q-4) | **Q4** Connected Particles on Inclined Plane with Energy - CIE 9709 Nov 2025 Paper 41 Q4 | FRQ | 1 part | 6 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=01ad6761-614a-42e9-986f-2413d9eed156&question_id=aae9b105-2268-4395-a040-653275a125e2&source_detail=9709%2F41+October%2FNovember+2025) | | [**9709/42** May/June 2025 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p4/2025-may-june-9709-42/#q-7) | **Q7** Rough Inclined Plane Energy Method - CIE 9709 2025 Jun Paper 42 Q7 | FRQ | 1 part | 6 | Hard | [Go to Practice Hub](https://www.examsci.com/practice?set_id=3e07f453-0512-47d9-81bd-41ed37496672&question_id=7977951c-1312-4deb-8454-ace4f51dba3e&source_detail=9709%2F42+May%2FJune+2025) | | [**9709/41** October/November 2024 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p4/2024-october-november-9709-41/#q-2) | **Q2** Particle Sliding Down Inclined Plane - CIE Math 2024 Nov Paper 41 Q2 | FRQ | 2 parts ((a), (b)) | 5 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=7c3c9dc2-a6bd-4e22-9d42-f0733bd183e0&question_id=94295d47-bf33-41d1-bbc2-e257f14ea005&source_detail=9709%2F41+October%2FNovember+2024) | | [**9709/42** October/November 2024 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p4/2024-october-november-9709-42/#q-2) | **Q2** Work-Energy Principle on Inclined Plane - CIE Mechanics 2024 Nov Paper 42 Q2 | FRQ | 1 part | 4 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=0b9543f2-2391-4f3e-a7bd-32c06fbe98b7&question_id=c1c26829-aa73-4c4f-be46-75857764d5bd&source_detail=9709%2F42+October%2FNovember+2024) | | [**9709/41** May/June 2024 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p4/2024-may-june-9709-41/#q-3) | **Q3** Train Ascending Hill Work-Energy - CIE Mechanics 2024 Jun Paper 41 Q3 | FRQ | 1 part | 4 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=e5f366c8-e3cd-4812-8d38-eab0c677511b&question_id=de4cbc47-0cb1-488f-b473-3defef9b1cc2&source_detail=9709%2F41+May%2FJune+2024) | | [**9709/42** May/June 2024 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p4/2024-may-june-9709-42/#q-1) | **Q1** Work Done by Cyclist - CIE Mechanics 2024 Jun Paper 42 Q1 | FRQ | 1 part | 3 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=3bd3e19d-ddfa-44c6-9327-f296ad5252a8&question_id=b392f0f8-1be4-4883-91e7-6e1f629d6897&source_detail=9709%2F42+May%2FJune+2024) | | [**9709/42** May/June 2024 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p4/2024-may-june-9709-42/#q-7) | **Q7** Connected Particles on Inclined Plane - CIE Mechanics 2024 Jun Paper 42 Q7 | FRQ | 1 of 2 parts ((b)) | 5 of 10 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=3bd3e19d-ddfa-44c6-9327-f296ad5252a8&question_id=0740682e-d9ae-4c3e-a6f4-d89bd0da6fb8&source_detail=9709%2F42+May%2FJune+2024) | | [**9709/41** May/June 2023 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p4/2023-may-june-9709-41/#q-7) | **Q7** Car Motion with Power and Work-Energy - CIE Mechanics 2023 Jun Q7 | FRQ | 1 of 3 parts ((c)) | 6 of 11 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=3447e74e-f5ef-4fb0-aad5-1e0e7f7df95a&question_id=3818e876-478c-4521-b3f8-99e871cbe2c5&source_detail=9709%2F41+May%2FJune+2023) | | [**9709/42** March 2023 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p4/2023-march-9709-42/#q-7) | **Q7** Multi-Stage Particle Collision and Slope Motion - CIE A Level Maths March 2023 Paper 42 Q7 | FRQ | 2 of 3 parts ((a), (b)) | 8 of 13 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=2845ea1d-4cb7-438a-b8fd-1140c5bbdbac&question_id=c643bff8-79ab-4790-9ba4-c48a4c5a84b2&source_detail=9709%2F42+March+2023) | | [**9709/42** October/November 2022 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p4/2022-october-november-9709-42/#q-1) | **Q1** Cyclist Mass via Work-Energy - CIE Mechanics 2022 Nov Paper 42 Q1 | FRQ | 1 part | 3 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=c24ed3cc-249b-429d-97dd-420bb60f7fa1&question_id=27226fd6-2a0b-4ba1-933f-56447f43e8d3&source_detail=9709%2F42+October%2FNovember+2022) | | [**9709/42** October/November 2022 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p4/2022-october-november-9709-42/#q-4) | **Q4** Car Power and Distance - CIE Mechanics 2022 Nov Paper 42 Q4 | FRQ | 1 of 2 parts ((b)) | 3 of 6 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=c24ed3cc-249b-429d-97dd-420bb60f7fa1&question_id=77ca460c-cc44-4cb0-b1ca-6d5234d1d0f9&source_detail=9709%2F42+October%2FNovember+2022) | | [**9709/42** May/June 2022 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p4/2022-may-june-9709-42/#q-6) | **Q6** Car Moving Up Hill Energy and Power - CIE Mechanics 2022 Jun Paper 42 Q6 | FRQ | 1 of 2 parts ((a)) | 5 of 8 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=b7d96c89-ba96-4962-bc25-741090ab7989&question_id=aaea6677-d0fb-4d4d-aa6a-c8c189cd83b1&source_detail=9709%2F42+May%2FJune+2022) | | [**9709/43** May/June 2022 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p4/2022-may-june-9709-43/#q-5) | **Q5** Cyclist Power and Work-Energy Method - CIE Maths 2022 Jun Paper 43 Q5 | FRQ | 1 of 3 parts ((c)) | 3 of 8 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=10fc7392-8847-442b-bfe9-23e0f1ffe64e&question_id=f26201e1-dab6-4da2-a214-316a38635b91&source_detail=9709%2F43+May%2FJune+2022) | | [**9709/42** October/November 2021 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p4/2021-october-november-9709-42/#q-3) | **Q3** Semicircular Track Motion - CIE Mechanics 2021 Nov Paper 42 Q3 | FRQ | 2 parts ((a), (b)) | 5 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=13ad660b-767f-4ea9-b524-aef8253598ee&question_id=8a4152e6-8231-4662-895e-837d9a7ccef5&source_detail=9709%2F42+October%2FNovember+2021) | | [**9709/42** October/November 2021 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p4/2021-october-november-9709-42/#q-5) | **Q5** Railway Engine on Slope and Horizontal Track - CIE Mechanics 2021 Nov Paper 42 Q5 | FRQ | 1 of 2 parts ((b)) | 4 of 7 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=13ad660b-767f-4ea9-b524-aef8253598ee&question_id=28f2341a-560c-4074-94bf-318000bb0696&source_detail=9709%2F42+October%2FNovember+2021) | | [**9709/43** October/November 2021 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p4/2021-october-november-9709-43/#q-1) | **Q1** Metal Post Driven by Dropped Object - CIE Mechanics 2021 Nov Paper 43 Q1 | FRQ | 1 of 2 parts ((b)) | 3 of 5 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=521e50e1-345e-41a2-89f8-e3b7dcfdbeb3&question_id=6b21f74d-2871-4efe-826b-ea73241e0001&source_detail=9709%2F43+October%2FNovember+2021) | | [**9709/43** October/November 2021 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p4/2021-october-november-9709-43/#q-3) | **Q3** Bouncing Ball Energy and Motion - CIE Mechanics 2021 Nov Paper 43 Q3 | FRQ | 1 of 2 parts ((a)) | 3 of 6 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=521e50e1-345e-41a2-89f8-e3b7dcfdbeb3&question_id=b601907d-b8b0-4e42-8fcb-117ce3190e2b&source_detail=9709%2F43+October%2FNovember+2021) | | [**9709/41** May/June 2021 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p4/2021-may-june-9709-41/#q-7) | **Q7** Motion of Child on Playground Slide - CIE A-Level Mathematics 2021 Jun Paper 41 Q7 | FRQ | 2 of 3 parts ((a)(ii), (b)) | 8 of 11 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=9281219e-2fa2-48e9-bf30-bc236b206f67&question_id=7dfdeace-9817-40b9-a1c8-9f6be630ee5c&source_detail=9709%2F41+May%2FJune+2021) | | [**9709/42** May/June 2021 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p4/2021-may-june-9709-42/#q-1) | **Q1** Speed on Inclined Plane - CIE 9709 Jun 2021 Paper 42 Q1 | FRQ | 1 part | 3 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=742ceda2-4e47-4b19-b78f-2dd50d0a24d7&question_id=c04fad41-681d-474c-a4be-f15d28d4cdcc&source_detail=9709%2F42+May%2FJune+2021) | | [**9709/43** October/November 2020 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p4/2020-october-november-9709-43/#q-2) | **Q2** Box Pulled Up Inclined Plane - CIE 9709 W20 Paper 43 Q2 | FRQ | 1 of 3 parts ((c)) | 1 of 4 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=aa8a0ca7-6cca-4ead-a093-b4b89009ad0c&question_id=9a53a9e5-c7c9-4537-a238-94b985ca9a96&source_detail=9709%2F43+October%2FNovember+2020) | | [**9709/41** May/June 2020 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p4/2020-may-june-9709-41/#q-5) | **Q5** Child Swinging on Rope - CIE Mechanics 2020 Jun Paper 41 Q5 | FRQ | 2 parts ((a), (b)) | 7 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=a405f024-a9e1-472d-ae93-c47f9eacb995&question_id=c5b347ce-53aa-49dd-9469-0bf0537eef6b&source_detail=9709%2F41+May%2FJune+2020) | | [**9709/41** May/June 2020 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p4/2020-may-june-9709-41/#q-7) | **Q7** Motion on Inclined Plane and Collision - CIE Mechanics 2020 Jun Paper 41 Q7 | FRQ | 1 of 2 parts ((b)) | 5 of 10 on the paper | Hard | [Go to Practice Hub](https://www.examsci.com/practice?set_id=a405f024-a9e1-472d-ae93-c47f9eacb995&question_id=8c31d666-ae9d-49c5-b3dd-941d43ab4df4&source_detail=9709%2F41+May%2FJune+2020) | | [**9709/43** May/June 2020 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p4/2020-may-june-9709-43/#q-5) | **Q5** Block Motion on Smooth Inclined Plane - CIE A-Level Mechanics 2020 Jun Paper 43 Q5 | FRQ | 1 of 3 parts ((b)) | 3 of 9 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=3763faba-ef15-4ed9-a4a5-8b5b96b95ac4&question_id=bdf1fbb5-3578-4c64-87b9-f67e7c4dd28e&source_detail=9709%2F43+May%2FJune+2020) | | [**9709/42** March 2020 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p4/2020-march-9709-42/#q-3) | **Q3** Motion along Curved Surface with Conservation of Energy - CIE 9709 Mechanics March 2020 Paper 42 Q3 | FRQ | 2 parts ((a), (b)) | 6 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=5982ac1d-4d73-4410-b656-249b1e57a6a2&question_id=07ec1e0b-81f6-4f77-9b36-cfc694932d27&source_detail=9709%2F42+March+2020) | ## Related topic questions in Energy, work and power - [• solve problems involving, for example, the instantaneous acceleration of a car moving on a hill against a resistance](https://www.examsci.com/topics/cie-ial/mathematics/9709-p4/energy-work-and-power/solve-problems-involving-for-example-the-instantaneous-acceleration-of-a-car-moving/) — 15 question items · 10 papers — 43 marks · 2020–2024 - [• understand the concept of the work done by a force, and calculate the work done by a constant force when its point of application undergoes a displacement not necessarily parallel to the force](https://www.examsci.com/topics/cie-ial/mathematics/9709-p4/energy-work-and-power/understand-the-concept-of-the-work-done-by-a-force-and-calculate-the-work-done-by-a/) — 13 question items · 12 papers — 37 marks · 2020–2025 - [• understand the concepts of gravitational potential energy and kinetic energy, and use appropriate formulae](https://www.examsci.com/topics/cie-ial/mathematics/9709-p4/energy-work-and-power/understand-the-concepts-of-gravitational-potential-energy-and-kinetic-energy-and-use/) — 31 question items · 19 papers — 108 marks · 2020–2025 - [• use the definition of power as the rate at which a force does work, and use the relationship between power, force and velocity for a force acting in the direction of motion](https://www.examsci.com/topics/cie-ial/mathematics/9709-p4/energy-work-and-power/use-the-definition-of-power-as-the-rate-at-which-a-force-does-work-and-use-the/) — 33 question items · 18 papers — 95 marks · 2020–2025 ## Topic question rules and edge cases **How many topic questions cover this syllabus point?** 24 question stems cover this subtopic across 19 papers, but only 30 tagged parts and 109 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 2020–2025. 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/cie-ial/mathematics/9709-p4/energy-work-and-power/understand-and-use-the-relationship-between-the-change-in-energy-of-a-system-and-the/