# WME03/01 June 2018

> WME03/01 June 2018: 7 questions, 75 marks. Difficulty 0.47, deviation 0.17, algebraic 0.42, text density 0.47. Edexcel IAL Mathematics M3.

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Edexcel IAL · Mathematics · 2018 June

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=5b6051d6-d96a-4e68-bd7b-91240f583e1e)
- [All M3 papers](https://www.examsci.com/past-papers/edexcel-ial/mathematics/mechanics-3-wme03/)

Core finding

**WME03/01 June 2018 is a past paper for Edexcel IAL Mechanics 3 (WME03), with 7 questions worth 75 marks.** Its mark-weighted Difficulty Measure is 0.47 on a 0.20–0.75 scale, with a Difficulty Deviation of 0.17 and a mark split of 14.7% Easy, 56.0% Medium and 29.3% Hard. Algebraic complexity averages 0.42; text density and modelling average 0.47. All five measures use 15 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 15 parts carrying 75 part marks. Difficulty tags cover 15 parts, algebraic tags 15 and text-density tags 15. Tags are internal metadata, not official exam-board ratings.

- **Difficulty Measure**: 0.47 — 0.20–0.75 · nearer Medium
- **Difficulty Deviation**: 0.17 — 0 = uniform; higher = more mixed
- **Difficulty Ratio**: 14.7 / 56.0 / 29.3 — % Easy / Medium / Hard
- **Algebraic Complexity Measure**: 0.42 — 0.20–0.75 · nearer Medium
- **Text Density and Modelling Measure**: 0.47 — 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** | 0.47 | Σ(d_i × w_i) / Σw_i, with d = 0.20 / 0.45 / 0.75 |
| **Difficulty Deviation** | 0.17 | √(Σw_i(d_i − μ)^2 / Σw_i) |
| **Difficulty Ratio** | 14.7% Easy / 56.0% Medium / 29.3% Hard | marks in band / all tagged marks |
| **Algebraic Complexity Measure** | 0.42 | Σ(c_i × marks_i) / Σmarks_i, with c = 0.20 / 0.45 / 0.75 |
| **Text Density and Modelling Measure** | 0.47 | 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 | [2. Elastic strings and springs](https://www.examsci.com/topics/edexcel-ial/mathematics/mechanics-3-wme03/elastic-strings-and-springs/) | 4 | 0.20 Easy | 0.20 Low | 0.45 Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=5b6051d6-d96a-4e68-bd7b-91240f583e1e&question_id=d529b62f-ed2e-49dd-ba20-b456239e22da&source_detail=WME03%2F01+June+2018) |
| **Q2** FRQ | [3. Further dynamics](https://www.examsci.com/topics/edexcel-ial/mathematics/mechanics-3-wme03/further-dynamics/) | 11 | 0.29 Easy | 0.20 Low | 0.45 Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=5b6051d6-d96a-4e68-bd7b-91240f583e1e&question_id=d6f5d3c9-69ce-4f3b-9d0e-5c7e3e3412e3&source_detail=WME03%2F01+June+2018) |
| **Q3** FRQ | [4. Motion in a circle](https://www.examsci.com/topics/edexcel-ial/mathematics/mechanics-3-wme03/motion-in-a-circle/) | 12 | 0.45 Medium | 0.45 Medium | 0.45 Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=5b6051d6-d96a-4e68-bd7b-91240f583e1e&question_id=964cd33b-c015-4837-99c0-26dd03525996&source_detail=WME03%2F01+June+2018) |
| **Q4** FRQ | [2. Elastic strings and springs](https://www.examsci.com/topics/edexcel-ial/mathematics/mechanics-3-wme03/elastic-strings-and-springs/) | 8 | 0.75 Hard | 0.45 Medium | 0.75 High | [Go to Practice Hub](https://www.examsci.com/practice?set_id=5b6051d6-d96a-4e68-bd7b-91240f583e1e&question_id=5e20dc92-2fc1-4861-8423-08c62abcf716&source_detail=WME03%2F01+June+2018) |
| **Q5** FRQ | [1. Further kinematics](https://www.examsci.com/topics/edexcel-ial/mathematics/mechanics-3-wme03/further-kinematics/) | 13 | 0.58 Medium | 0.61 High | 0.45 Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=5b6051d6-d96a-4e68-bd7b-91240f583e1e&question_id=6c76172f-24a5-4fb7-bcf8-a0ca6f8be355&source_detail=WME03%2F01+June+2018) |
| **Q6** FRQ | [5. Statics of rigid bodies](https://www.examsci.com/topics/edexcel-ial/mathematics/mechanics-3-wme03/statics-of-rigid-bodies/) | 13 | 0.45 Medium | 0.45 Medium | 0.35 Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=5b6051d6-d96a-4e68-bd7b-91240f583e1e&question_id=da7bccc8-6dca-4441-8750-a687fe1550db&source_detail=WME03%2F01+June+2018) |
| **Q7** FRQ | [4. Motion in a circle](https://www.examsci.com/topics/edexcel-ial/mathematics/mechanics-3-wme03/motion-in-a-circle/) | 14 | 0.56 Medium | 0.41 Medium | 0.45 Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=5b6051d6-d96a-4e68-bd7b-91240f583e1e&question_id=41ec49fd-ff48-4f66-80fd-2e915aa81e44&source_detail=WME03%2F01+June+2018) |

## Topics in this paper

- [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/)
- [4. Motion in a circle](https://www.examsci.com/topics/edexcel-ial/mathematics/mechanics-3-wme03/motion-in-a-circle/)
- [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/)

## Related papers

- [WME03/01](https://www.examsci.com/past-papers/edexcel-ial/mathematics/mechanics-3-wme03/2018-january-wme03-01/) — January 2018 — 7 questions · 75 marks — Free
- [WME03/01](https://www.examsci.com/past-papers/edexcel-ial/mathematics/mechanics-3-wme03/2019-june-wme03-01/) — June 2019 — 7 questions · 75 marks — Free
- [WME03/01](https://www.examsci.com/past-papers/edexcel-ial/mathematics/mechanics-3-wme03/2019-january-wme03-01/) — January 2019 — 6 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
- [WME03/01](https://www.examsci.com/past-papers/edexcel-ial/mathematics/mechanics-3-wme03/2017-january-wme03-01/) — January 2017 — 7 questions · 75 marks — Free
- [WME03/01](https://www.examsci.com/past-papers/edexcel-ial/mathematics/mechanics-3-wme03/2020-october-wme03-01/) — October 2020 — 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 0.47 from 15 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 0.17, 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 14.7% Easy, 56.0% Medium and 29.3% 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-wme03/2018-june-wme03-01/