# WMA12/01 June 2019

> WMA12/01 June 2019: 10 questions, 75 marks. Difficulty 0.38, deviation 0.11, algebraic 0.40, text density 0.26. Edexcel IAL Mathematics P2.

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Edexcel IAL · Mathematics · 2019 June

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 June 2019 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 29.3% Easy, 70.7% Medium and 0.0% Hard. Algebraic complexity averages 0.40; text density and modelling average 0.26. All five measures use 26 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 26 parts carrying 75 part marks. Difficulty tags cover 26 parts, algebraic tags 26 and text-density tags 26. 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**: 29.3 / 70.7 / 0.0 — % Easy / Medium / Hard
- **Algebraic Complexity Measure**: 0.40 — 0.20–0.75 · nearer Medium
- **Text Density and Modelling Measure**: 0.26 — 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** | 29.3% Easy / 70.7% Medium / 0.0% Hard | marks in band / all tagged marks |
| **Algebraic Complexity Measure** | 0.40 | Σ(c_i × marks_i) / Σmarks_i, with c = 0.20 / 0.45 / 0.75 |
| **Text Density and Modelling Measure** | 0.26 | 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 | [4. Sequences and series](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/sequences-and-series/) | 4 | 0.33 Medium | 0.33 Medium | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=9bc526e7-e2bc-45cd-a6db-300f067c3553&question_id=f49f717b-03aa-415d-9ca4-648c60fa7db1&source_detail=WMA12%2F01+June+2019) |
| **Q2** 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/) | 7 | 0.34 Medium | 0.34 Medium | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=9bc526e7-e2bc-45cd-a6db-300f067c3553&question_id=8e38ba37-4eaf-4d61-ba7b-2caa7002cdc4&source_detail=WMA12%2F01+June+2019) |
| **Q3** FRQ | [1. Proof](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/proof/) | 4 | 0.39 Medium | 0.39 Medium | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=9bc526e7-e2bc-45cd-a6db-300f067c3553&question_id=ddc68916-e185-4053-9dcb-414a5899e360&source_detail=WMA12%2F01+June+2019) |
| **Q4** FRQ | [4. Sequences and series](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/sequences-and-series/) | 7 | 0.31 Easy | 0.45 Medium | 0.31 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=9bc526e7-e2bc-45cd-a6db-300f067c3553&question_id=ab2d19b1-4980-4544-bec3-56163bc7483e&source_detail=WMA12%2F01+June+2019) |
| **Q5** FRQ | [7. Differentiation](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/differentiation/) | 8 | 0.39 Medium | 0.39 Medium | 0.39 Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=9bc526e7-e2bc-45cd-a6db-300f067c3553&question_id=6250279d-4aca-4734-8099-0f0a4dd376a1&source_detail=WMA12%2F01+June+2019) |
| **Q6** 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=9bc526e7-e2bc-45cd-a6db-300f067c3553&question_id=e40bbe8c-5445-415c-96f6-f6c8ceb98915&source_detail=WMA12%2F01+June+2019) |
| **Q7** FRQ | [4. Sequences and series](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/sequences-and-series/) | 9 | 0.37 Medium | 0.37 Medium | 0.45 Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=9bc526e7-e2bc-45cd-a6db-300f067c3553&question_id=c8ec6f14-1356-4d43-aeb8-1f6979afda48&source_detail=WMA12%2F01+June+2019) |
| **Q8** FRQ | [5. Exponentials and logarithms](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/exponentials-and-logarithms/) | 9 | 0.45 Medium | 0.45 Medium | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=9bc526e7-e2bc-45cd-a6db-300f067c3553&question_id=848cc432-5d7c-477b-a415-093d624365f2&source_detail=WMA12%2F01+June+2019) |
| **Q9** FRQ | [6. Trigonometry](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/trigonometry/) | 8 | 0.45 Medium | 0.45 Medium | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=9bc526e7-e2bc-45cd-a6db-300f067c3553&question_id=d3dc64ad-387c-4c7f-8638-113bb320f0d0&source_detail=WMA12%2F01+June+2019) |
| **Q10** FRQ | [7. Differentiation](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/differentiation/) | 11 | 0.34 Medium | 0.43 Medium | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=9bc526e7-e2bc-45cd-a6db-300f067c3553&question_id=f37234f7-fdc8-47f8-b4e6-d9a55da0d2b5&source_detail=WMA12%2F01+June+2019) |

## Topics in this paper

- [4. Sequences and series](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/sequences-and-series/)
- [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/)
- [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/)
- [5. Exponentials and logarithms](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/exponentials-and-logarithms/)
- [8. Integration](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/integration/)

## Related papers

- [WMA12/01](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2019-october-wma12-01/) — October 2019 — 10 questions · 75 marks — Free
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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 26 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 29.3% Easy, 70.7% 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-wma12/2019-june-wma12-01/