# 9709 P4 Energy, work and power Topic Questions

> CIE IAL 9709 P4: every Energy, work and power topic question from 49 papers (2020–2026), grouped by syllabus point. 198 questions, 668 marks, with direct…

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CIE IAL · Mathematics · 9709 P4 · A Level

Every 9709 P4 Energy, work and power topic question from the 2020–2027 syllabus, drawn from 49 papers (2020–2026) and grouped by syllabus point. Each row opens a page listing the exact question numbers, marks and a direct link into the paper. These are questions by topic, not full papers, so you can revise one topic at a time.

- 9709 P4
- 5 subtopics
- 198 topic questions
- 49 papers
- 668 tagged marks
- [Back to Energy, work and power](https://www.examsci.com/topics/cie-ial/mathematics/9709-p4/energy-work-and-power/)
- [All paper codes](https://www.examsci.com/topics/)

Core finding

**use the definition of power as the rate at which a force does work… is the most frequently assessed subtopic in Energy, work and power, with 33 topic questions and 95 marks across 18 papers.** understand the concepts of gravitational potential energy… follows with 31 topic questions and 108 marks. The topic contains 5 subtopics, 198 topic questions and 668 marks in total. Rows count only the parts tagged to that subtopic, keep the same colour in both charts and repeat paper count, tagged marks and year range in the native table.

## Topic question count and mark distribution

Subtopics are on the vertical axis and sorted from highest to lowest. Only the parts whose knowledge graph matches a subtopic are counted for it, and percentages are each row's share of the tagged total in that chart. A part tagged to several subtopics is counted in each bar, so the bars are not a partition of the topic total.

### Questions by subtopic

question items

- [• 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/) (18 papers) — 33 · 27.0%
- [• 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/) (19 papers) — 31 · 25.4%
- [• 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](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/) (19 papers) — 30 · 24.6%
- [• 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/) (10 papers) — 15 · 12.3%
- [• 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/) (12 papers) — 13 · 10.7%

### Marks by subtopic

marks

- [• 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](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/) (19 papers) — 109 · 27.8%
- [• 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/) (19 papers) — 108 · 27.6%
- [• 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/) (18 papers) — 95 · 24.2%
- [• 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/) (10 papers) — 43 · 11.0%
- [• 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/) (12 papers) — 37 · 9.4%

## Subtopic comparison matrix

Curriculum order is by syllabus number, then alphabetically. Every row links to the matching past-paper question list.

| Subtopic | Topic questions | Papers | Marks | Years | |
| --- | --- | --- | --- | --- | --- |
| **[• 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 | 10 | 43 | 2020–2024 | [Open topic questions](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/) |
| **[• 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](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/)** | 30 | 19 | 109 | 2020–2025 | [Open topic questions](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/) |
| **[• 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 | 12 | 37 | 2020–2025 | [Open topic questions](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/) |
| **[• 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 | 19 | 108 | 2020–2025 | [Open topic questions](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/) |
| **[• 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 | 18 | 95 | 2020–2025 | [Open topic questions](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/) |

## Browse every topic question

- [• 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 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](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/) — 30 question items · 19 papers — 109 marks · 2020–2025
- [• 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

## Other topics in 9709 P4

- [Forces and equilibrium 139 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p4/forces-and-equilibrium/)
- [Kinematics of motion in a straight line 279 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p4/kinematics-of-motion-in-a-straight-line/)
- [Momentum 69 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p4/momentum/)
- [Newton’s laws of motion 190 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p4/newton-s-laws-of-motion/)

## Topic question rules and edge cases

**How many subtopics does Energy, work and power contain?**

This page lists 5 subtopics tagged to the current syllabus. They are ordered by syllabus number, then alphabetically, and each row opens a page of matching past-paper questions.

**How are the subtopic question and mark totals calculated?**

A multiple-choice question contributes one item and its marks to every subtopic it is tagged with. A structured question contributes one item per tagged part, and that part’s marks; untagged parts of the same question are not counted here. A part tagged to several subtopics therefore appears under each of them.

**Why do some subtopics have no numbered prefix?**

Practical-skills statements and some syllabus bullets are unnumbered. Numbered statements come first; unnumbered statements and ties are sorted alphabetically.

**Is the LaTeX rendered without JavaScript?**

Yes. Subtopics that contain formulas are converted to static KaTeX HTML during the build, and the KaTeX stylesheet is served from the same site.

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