# WMA12/01 January 2020

> WMA12/01 January 2020: 10 questions, 75 marks. Difficulty 0.38, deviation 0.11, algebraic 0.37, text density 0.25. Edexcel IAL Mathematics P2.

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Edexcel IAL · Mathematics · 2020 January

This Pure Mathematics 2 (WMA12) paper contains 10 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
- P2
- 10 questions
- 75 marks
- Free paper
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Core finding

**WMA12/01 January 2020 is a past paper for Edexcel IAL Pure Mathematics 2 (WMA12), with 10 questions worth 75 marks.** Its mark-weighted Difficulty Measure is 0.38 on a 0.20–0.75 scale, with a Difficulty Deviation of 0.11 and a mark split of 26.7% Easy, 73.3% Medium and 0.0% Hard. Algebraic complexity averages 0.37; text density and modelling average 0.25. All five measures use 25 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 25 parts carrying 75 part marks. Difficulty tags cover 25 parts, algebraic tags 25 and text-density tags 25. Tags are internal metadata, not official exam-board ratings.

- **Difficulty Measure**: 0.38 — 0.20–0.75 · nearer Medium
- **Difficulty Deviation**: 0.11 — 0 = uniform; higher = more mixed
- **Difficulty Ratio**: 26.7 / 73.3 / 0.0 — % Easy / Medium / Hard
- **Algebraic Complexity Measure**: 0.37 — 0.20–0.75 · nearer Medium
- **Text Density and Modelling Measure**: 0.25 — 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** | 0.38 | Σ(d_i × w_i) / Σw_i, with d = 0.20 / 0.45 / 0.75 |
| **Difficulty Deviation** | 0.11 | √(Σw_i(d_i − μ)^2 / Σw_i) |
| **Difficulty Ratio** | 26.7% Easy / 73.3% Medium / 0.0% Hard | marks in band / all tagged marks |
| **Algebraic Complexity Measure** | 0.37 | Σ(c_i × marks_i) / Σmarks_i, with c = 0.20 / 0.45 / 0.75 |
| **Text Density and Modelling Measure** | 0.25 | 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 | [8. Integration](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/integration/) | 7 | 0.34 Medium | 0.34 Medium | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=79c9d77a-9dd2-498d-884a-7da7a3e5f7ed&question_id=c3992529-2389-4845-825d-4263667949f8&source_detail=WMA12%2F01+January+2020) |
| **Q2** FRQ | [4. Sequences and series](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/sequences-and-series/) | 7 | 0.45 Medium | 0.45 Medium | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=79c9d77a-9dd2-498d-884a-7da7a3e5f7ed&question_id=febd4c24-e65f-4f17-8092-9b13b421965f&source_detail=WMA12%2F01+January+2020) |
| **Q3** FRQ | [2. Algebra and functions](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/algebra-and-functions/) | 8 | 0.39 Medium | 0.39 Medium | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=79c9d77a-9dd2-498d-884a-7da7a3e5f7ed&question_id=befb8232-6658-44dc-b6f8-af900404f31b&source_detail=WMA12%2F01+January+2020) |
| **Q4** FRQ | [8. Integration](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/integration/) | 6 | 0.45 Medium | 0.45 Medium | 0.45 Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=79c9d77a-9dd2-498d-884a-7da7a3e5f7ed&question_id=e438bd70-feb7-4a22-ab01-e3d265259ad5&source_detail=WMA12%2F01+January+2020) |
| **Q5** FRQ | [4. Sequences and series](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/sequences-and-series/) | 8 | 0.45 Medium | 0.36 Medium | 0.45 Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=79c9d77a-9dd2-498d-884a-7da7a3e5f7ed&question_id=8fee728f-ab0f-4ab5-b7fb-f8583b605158&source_detail=WMA12%2F01+January+2020) |
| **Q6** FRQ | [3. Coordinate geometry in the (x, y) plane](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/coordinate-geometry-in-the-x-y-plane/) | 8 | 0.36 Medium | 0.29 Low | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=79c9d77a-9dd2-498d-884a-7da7a3e5f7ed&question_id=9926fd33-b540-4b97-8cd6-531564326215&source_detail=WMA12%2F01+January+2020) |
| **Q7** FRQ | [6. Trigonometry](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/trigonometry/) | 7 | 0.34 Medium | 0.34 Medium | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=79c9d77a-9dd2-498d-884a-7da7a3e5f7ed&question_id=f46b3d4a-0a95-43be-a517-76e00e941129&source_detail=WMA12%2F01+January+2020) |
| **Q8** FRQ | [1. Proof](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/proof/) | 7 | 0.41 Medium | 0.41 Medium | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=79c9d77a-9dd2-498d-884a-7da7a3e5f7ed&question_id=71b5b3c3-f240-4166-a1be-4795cc5ab5d5&source_detail=WMA12%2F01+January+2020) |
| **Q9** FRQ | [5. Exponentials and logarithms](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/exponentials-and-logarithms/) | 7 | 0.38 Medium | 0.38 Medium | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=79c9d77a-9dd2-498d-884a-7da7a3e5f7ed&question_id=15d4dad3-7966-4a21-a057-010d241ea2e6&source_detail=WMA12%2F01+January+2020) |
| **Q10** FRQ | [7. Differentiation](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/differentiation/) | 10 | 0.30 Easy | 0.30 Low | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=79c9d77a-9dd2-498d-884a-7da7a3e5f7ed&question_id=e89fc91b-2bce-40de-a555-4497aeb1fd76&source_detail=WMA12%2F01+January+2020) |

## Topics in this paper

- [8. Integration](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/integration/)
- [5. Exponentials and logarithms](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/exponentials-and-logarithms/)
- [4. Sequences and series](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/sequences-and-series/)
- [2. Algebra and functions](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/algebra-and-functions/)
- [6. Trigonometry](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/trigonometry/)
- [3. Coordinate geometry in the (x, y) plane](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/coordinate-geometry-in-the-x-y-plane/)
- [1. Proof](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/proof/)
- [7. Differentiation](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/differentiation/)

## Related papers

- [WMA12/01](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2020-october-wma12-01/) — October 2020 — 9 questions · 75 marks — Free
- [WMA12/01](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2021-october-wma12-01/) — October 2021 — 10 questions · 75 marks — Pro
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## 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 0.38 from 25 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 0.11, 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 26.7% Easy, 73.3% Medium and 0.0% 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/pure-mathematics-2-wma12/2020-january-wma12-01/