# WMA11/01 January 2019

> WMA11/01 January 2019: 12 questions, 75 marks. Difficulty 0.39, deviation 0.17, algebraic 0.38, text density 0.24. Edexcel IAL Mathematics P1.

- Canonical HTML: https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-1-wma11/2019-january-wma11-01/
- Markdown mirror: https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-1-wma11/2019-january-wma11-01/index.md

---

Edexcel IAL · Mathematics · 2019 January

This Pure Mathematics 1 (WMA11) paper contains 12 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
- P1
- 12 questions
- 75 marks
- Free paper
- [Practise this paper](https://www.examsci.com/practice?set_id=ba3014dd-d62a-448d-8319-db61bb993778)
- [All P1 papers](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-1-wma11/)

Core finding

**WMA11/01 January 2019 is a past paper for Edexcel IAL Pure Mathematics 1 (WMA11), with 12 questions worth 75 marks.** Its mark-weighted Difficulty Measure is 0.39 on a 0.20–0.75 scale, with a Difficulty Deviation of 0.17 and a mark split of 36.0% Easy, 48.0% Medium and 16.0% Hard. Algebraic complexity averages 0.38; text density and modelling average 0.24. All five measures use 27 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 27 parts carrying 75 part marks. Difficulty tags cover 27 parts, algebraic tags 27 and text-density tags 27. Tags are internal metadata, not official exam-board ratings.

- **Difficulty Measure**: 0.39 — 0.20–0.75 · nearer Medium
- **Difficulty Deviation**: 0.17 — 0 = uniform; higher = more mixed
- **Difficulty Ratio**: 36.0 / 48.0 / 16.0 — % Easy / Medium / Hard
- **Algebraic Complexity Measure**: 0.38 — 0.20–0.75 · nearer Medium
- **Text Density and Modelling Measure**: 0.24 — 0.20–0.75 · nearer Low

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** | 0.17 | √(Σw_i(d_i − μ)^2 / Σw_i) |
| **Difficulty Ratio** | 36.0% Easy / 48.0% Medium / 16.0% Hard | marks in band / all tagged marks |
| **Algebraic Complexity Measure** | 0.38 | Σ(c_i × marks_i) / Σmarks_i, with c = 0.20 / 0.45 / 0.75 |
| **Text Density and Modelling Measure** | 0.24 | 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 | [5. Integration](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-1-wma11/integration/) | 4 | 0.20 Easy | 0.20 Low | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=ba3014dd-d62a-448d-8319-db61bb993778&question_id=d499e37e-e07e-4ff2-87ef-f0d0efda78a9&source_detail=WMA11%2F01+January+2019) |
| **Q2** FRQ | [1. Algebra and functions](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-1-wma11/algebra-and-functions/) | 3 | 0.45 Medium | 0.45 Medium | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=ba3014dd-d62a-448d-8319-db61bb993778&question_id=0ebb435b-78ed-4263-a2ab-7c2a796c79c9&source_detail=WMA11%2F01+January+2019) |
| **Q3** FRQ | [2. Coordinate geometry in the (x, y) plane](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-1-wma11/coordinate-geometry-in-the-x-y-plane/) | 5 | 0.20 Easy | 0.20 Low | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=ba3014dd-d62a-448d-8319-db61bb993778&question_id=8fb9af32-2b2e-4b37-b42d-135bca17c33d&source_detail=WMA11%2F01+January+2019) |
| **Q4** FRQ | [1. Algebra and functions](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-1-wma11/algebra-and-functions/) | 3 | 0.45 Medium | 0.45 Medium | 0.45 Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=ba3014dd-d62a-448d-8319-db61bb993778&question_id=1f611e24-8b13-4d70-9150-be6b08417a00&source_detail=WMA11%2F01+January+2019) |
| **Q5** FRQ | [3. Trigonometry](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-1-wma11/trigonometry/) | 6 | 0.28 Easy | 0.20 Low | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=ba3014dd-d62a-448d-8319-db61bb993778&question_id=a7705d89-cb93-4db8-bdc8-253587c35d0d&source_detail=WMA11%2F01+January+2019) |
| **Q6** FRQ | [4. Differentiation](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-1-wma11/differentiation/) | 7 | 0.45 Medium | 0.45 Medium | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=ba3014dd-d62a-448d-8319-db61bb993778&question_id=d1874c28-299f-46e4-824e-4a03af75bdc7&source_detail=WMA11%2F01+January+2019) |
| **Q7** FRQ | [3. Trigonometry](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-1-wma11/trigonometry/) | 6 | 0.45 Medium | 0.33 Medium | 0.45 Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=ba3014dd-d62a-448d-8319-db61bb993778&question_id=506c27f1-8524-4c35-8ad7-03051d1efcf5&source_detail=WMA11%2F01+January+2019) |
| **Q8** FRQ | [1. Algebra and functions](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-1-wma11/algebra-and-functions/) | 6 | 0.28 Easy | 0.20 Low | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=ba3014dd-d62a-448d-8319-db61bb993778&question_id=5660f9a1-3a78-4c73-aff1-d66d493d4f5b&source_detail=WMA11%2F01+January+2019) |
| **Q9** FRQ | [1. Algebra and functions](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-1-wma11/algebra-and-functions/) | 7 | 0.75 Hard | 0.75 High | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=ba3014dd-d62a-448d-8319-db61bb993778&question_id=4056a1da-d696-40a7-b8da-3ee1bd0929af&source_detail=WMA11%2F01+January+2019) |
| **Q10** FRQ | [1. Algebra and functions](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-1-wma11/algebra-and-functions/) | 7 | 0.34 Medium | 0.34 Medium | 0.34 Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=ba3014dd-d62a-448d-8319-db61bb993778&question_id=77f45a18-23c5-48b6-bccf-c12ce0924830&source_detail=WMA11%2F01+January+2019) |
| **Q11** FRQ | [1. Algebra and functions](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-1-wma11/algebra-and-functions/) | 12 | 0.38 Medium | 0.43 Medium | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=ba3014dd-d62a-448d-8319-db61bb993778&question_id=35e04c73-b134-4136-93d8-b5e537e589be&source_detail=WMA11%2F01+January+2019) |
| **Q12** FRQ | [4. Differentiation](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-1-wma11/differentiation/) | 9 | 0.45 Medium | 0.45 Medium | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=ba3014dd-d62a-448d-8319-db61bb993778&question_id=df6075d5-8dfe-40b1-a479-e947b70135f4&source_detail=WMA11%2F01+January+2019) |

## Topics in this paper

- [5. Integration](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-1-wma11/integration/)
- [1. Algebra and functions](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-1-wma11/algebra-and-functions/)
- [2. Coordinate geometry in the (x, y) plane](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-1-wma11/coordinate-geometry-in-the-x-y-plane/)
- [3. Trigonometry](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-1-wma11/trigonometry/)
- [4. Differentiation](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-1-wma11/differentiation/)

## Related papers

- [WMA11/01](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-1-wma11/2019-october-wma11-01/) — October 2019 — 11 questions · 75 marks — Free
- [WMA11/01](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-1-wma11/2019-june-wma11-01/) — June 2019 — 10 questions · 75 marks — Free
- [WMA11/01](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-1-wma11/2020-october-wma11-01/) — October 2020 — 9 questions · 75 marks — Free
- [WMA11/01](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-1-wma11/2020-january-wma11-01/) — January 2020 — 11 questions · 75 marks — Free
- [WMA11/01](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-1-wma11/2021-october-wma11-01/) — October 2021 — 10 questions · 75 marks — Pro
- [WMA11/01](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-1-wma11/2021-june-wma11-01/) — June 2021 — 9 questions · 75 marks — Pro

## 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 27 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 36.0% Easy, 48.0% Medium and 16.0% 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.

---

Full page with native tables, bar charts and Practice Hub links: https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-1-wma11/2019-january-wma11-01/