# WME03/01 January 2015

> WME03/01 January 2015: 7 questions, 75 marks. Difficulty 0.39, deviation 0.16, algebraic 0.35, text density 0.42. Edexcel IAL Mathematics M3.

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Edexcel IAL · Mathematics · 2015 January

This Mechanics 3 (WME03) paper contains 7 questions worth 75 marks. The profile below reports five mark-weighted difficulty and complexity measures, and every question row repeats them. Full question text and mark scheme open in the Interactive Practice Hub.

- Edexcel IAL
- M3
- 7 questions
- 75 marks
- Free paper
- [Practise this paper](https://www.examsci.com/practice?set_id=1e7d210b-c7ac-4cd8-ab27-514163b22428)
- [All M3 papers](https://www.examsci.com/past-papers/edexcel-ial/mathematics/mechanics-3-wme03/)

Core finding

**WME03/01 January 2015 is a past paper for Edexcel IAL Mechanics 3 (WME03), with 7 questions worth 75 marks.** Its mark-weighted Difficulty Measure is 0.39 on a 0.20–0.75 scale, with a Difficulty Deviation of 0.16 and a mark split of 32.0% Easy, 56.0% Medium and 12.0% Hard. Algebraic complexity averages 0.35; text density and modelling average 0.42. All five measures use 16 part-level tags, not candidate results. Every question row below repeats them and opens the Interactive Practice Hub for that question.

## Difficulty & complexity profile

All five measures are mark-weighted and calculated from 16 parts carrying 75 part marks. Difficulty tags cover 16 parts, algebraic tags 16 and text-density tags 16. Tags are internal metadata, not official exam-board ratings.

- **Difficulty Measure**: 0.39 — 0.20–0.75 · nearer Medium
- **Difficulty Deviation**: 0.16 — 0 = uniform; higher = more mixed
- **Difficulty Ratio**: 32.0 / 56.0 / 12.0 — % Easy / Medium / Hard
- **Algebraic Complexity Measure**: 0.35 — 0.20–0.75 · nearer Medium
- **Text Density and Modelling Measure**: 0.42 — 0.20–0.75 · nearer Medium

Scale: Easy 0.20 · Medium 0.45 · Hard 0.75, and Low 0.20 · Medium 0.45 · High 0.75 for the two complexity measures. [How each band is defined and how the values are calculated →](https://www.examsci.com/guides/difficulty-and-complexity-measures/)

### Definitions and calculation

| Measure | Paper value | Formula |
| --- | --- | --- |
| **Difficulty Measure** | 0.39 | Σ(d_i × w_i) / Σw_i, with d = 0.20 / 0.45 / 0.75 |
| **Difficulty Deviation** | 0.16 | √(Σw_i(d_i − μ)^2 / Σw_i) |
| **Difficulty Ratio** | 32.0% Easy / 56.0% Medium / 12.0% Hard | marks in band / all tagged marks |
| **Algebraic Complexity Measure** | 0.35 | Σ(c_i × marks_i) / Σmarks_i, with c = 0.20 / 0.45 / 0.75 |
| **Text Density and Modelling Measure** | 0.42 | Σ(t_i × marks_i) / Σmarks_i, with t = 0.20 / 0.45 / 0.75 |

w_i equals the part marks, except for a Hard part worth 4 or more marks, where w_i = marks^0.75 to offset the accessible starter steps inside long structured questions.

## Question list

Each measure is recalculated from the parts of that question and uses the same weights as the paper profile.

| Question | Topic | Marks | Difficulty Measure | Algebraic Complexity Measure | Text Density and Modelling Measure | Practice |
| --- | --- | --- | --- | --- | --- | --- |
| **Q1** FRQ | [1. Further kinematics](https://www.examsci.com/topics/edexcel-ial/mathematics/mechanics-3-wme03/further-kinematics/) | 6 | 0.45 Medium | 0.45 Medium | 0.45 Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=1e7d210b-c7ac-4cd8-ab27-514163b22428&question_id=503e79ed-ea4d-4a7a-a0ed-486ee4d061f3&source_detail=WME03%2F01+January+2015) |
| **Q2** FRQ | [5. Statics of rigid bodies](https://www.examsci.com/topics/edexcel-ial/mathematics/mechanics-3-wme03/statics-of-rigid-bodies/) | 9 | 0.20 Easy | 0.20 Low | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=1e7d210b-c7ac-4cd8-ab27-514163b22428&question_id=ccb9de74-573f-4ca4-8a92-eaa5aec738fc&source_detail=WME03%2F01+January+2015) |
| **Q3** FRQ | [4. Motion in a circle](https://www.examsci.com/topics/edexcel-ial/mathematics/mechanics-3-wme03/motion-in-a-circle/) | 8 | 0.45 Medium | 0.45 Medium | 0.45 Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=1e7d210b-c7ac-4cd8-ab27-514163b22428&question_id=8eb05e52-354f-41fb-ac07-f904dc52d010&source_detail=WME03%2F01+January+2015) |
| **Q4** FRQ | [2. Elastic strings and springs](https://www.examsci.com/topics/edexcel-ial/mathematics/mechanics-3-wme03/elastic-strings-and-springs/) | 11 | 0.31 Easy | 0.31 Low | 0.45 Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=1e7d210b-c7ac-4cd8-ab27-514163b22428&question_id=8b126ed1-2125-4abb-9ac7-7c6a5b620b55&source_detail=WME03%2F01+January+2015) |
| **Q5** FRQ | [5. Statics of rigid bodies](https://www.examsci.com/topics/edexcel-ial/mathematics/mechanics-3-wme03/statics-of-rigid-bodies/) | 10 | 0.38 Medium | 0.30 Low | 0.38 Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=1e7d210b-c7ac-4cd8-ab27-514163b22428&question_id=ce22be75-f97b-48b1-beaa-c5ca4505ce04&source_detail=WME03%2F01+January+2015) |
| **Q6** FRQ | [4. Motion in a circle](https://www.examsci.com/topics/edexcel-ial/mathematics/mechanics-3-wme03/motion-in-a-circle/) | 15 | 0.53 Medium | 0.38 Medium | 0.55 Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=1e7d210b-c7ac-4cd8-ab27-514163b22428&question_id=3fc7c5e8-3240-44c1-bd00-c2b78fb042a3&source_detail=WME03%2F01+January+2015) |
| **Q7** FRQ | [2. Elastic strings and springs](https://www.examsci.com/topics/edexcel-ial/mathematics/mechanics-3-wme03/elastic-strings-and-springs/) | 16 | 0.41 Medium | 0.36 Medium | 0.42 Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=1e7d210b-c7ac-4cd8-ab27-514163b22428&question_id=fcd54284-bd5b-40d2-8283-bb5977d25fe4&source_detail=WME03%2F01+January+2015) |

## Topics in this paper

- [1. Further kinematics](https://www.examsci.com/topics/edexcel-ial/mathematics/mechanics-3-wme03/further-kinematics/)
- [5. Statics of rigid bodies](https://www.examsci.com/topics/edexcel-ial/mathematics/mechanics-3-wme03/statics-of-rigid-bodies/)
- [4. Motion in a circle](https://www.examsci.com/topics/edexcel-ial/mathematics/mechanics-3-wme03/motion-in-a-circle/)
- [2. Elastic strings and springs](https://www.examsci.com/topics/edexcel-ial/mathematics/mechanics-3-wme03/elastic-strings-and-springs/)
- [3. Further dynamics](https://www.examsci.com/topics/edexcel-ial/mathematics/mechanics-3-wme03/further-dynamics/)

## Related papers

- [WME03/01](https://www.examsci.com/past-papers/edexcel-ial/mathematics/mechanics-3-wme03/2015-june-wme03-01/) — June 2015 — 6 questions · 75 marks — Free
- [WME03/01](https://www.examsci.com/past-papers/edexcel-ial/mathematics/mechanics-3-wme03/2016-june-wme03-01/) — June 2016 — 7 questions · 75 marks — Free
- [WME03/01](https://www.examsci.com/past-papers/edexcel-ial/mathematics/mechanics-3-wme03/2016-january-wme03-01/) — January 2016 — 7 questions · 75 marks — Free
- [WME03/01](https://www.examsci.com/past-papers/edexcel-ial/mathematics/mechanics-3-wme03/2014-june-wme03-01/) — June 2014 — 7 questions · 75 marks — Free
- [WME03/01](https://www.examsci.com/past-papers/edexcel-ial/mathematics/mechanics-3-wme03/2014-january-wme03-01/) — January 2014 — 7 questions · 75 marks — Free
- [WME03/01](https://www.examsci.com/past-papers/edexcel-ial/mathematics/mechanics-3-wme03/2017-june-wme03-01/) — June 2017 — 7 questions · 75 marks — Free

## Paper FAQ

**How are the difficulty and complexity measures calculated?**

Each part is weighted by its official marks. Difficulty uses Easy 0.20, Medium 0.45 and Hard 0.75; algebraic complexity and text density and modelling use Low 0.20, Medium 0.45 and High 0.75. A Hard part worth 4 or more marks is down-weighted to marks^0.75, so the accessible starter steps inside a long structured question do not inflate the difficulty result. This paper's Difficulty Measure is 0.39 from 16 parts.

**What does the Difficulty Deviation show?**

It is the mark-weighted standard deviation of the part difficulty values around the paper mean. A value of 0 would mean every tagged part has the same difficulty; this paper's deviation is 0.16, so its parts are more mixed than a single-level paper.

**Is the Difficulty Ratio based on question counts or marks?**

It is based on official marks, not question counts. This paper's shares are 32.0% Easy, 56.0% Medium and 12.0% Hard; the three shares sum to 100% before rounding.

**Are these official difficulty ratings?**

No. They are derived from the platform's part-level difficulty and static-question-profile tags. They are not exam-board grade boundaries and are not calculated from candidate outcomes. Use them to compare the demand profile of papers, not to predict a grade.

**Why does each question row show its own measures?**

Each row recalculates the same mark-weighted formula from that question's parts. A single-part MCQ therefore shows the tag value directly, while a multi-part structured question blends the tags of its parts using the same Hard-part decay as the paper profile.

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Full page with native tables, bar charts and Practice Hub links: https://www.examsci.com/past-papers/edexcel-ial/mathematics/mechanics-3-wme03/2015-january-wme03-01/