# WFM02/01 June 2014

> WFM02/01 June 2014: 9 questions, 75 marks. Difficulty 0.46, deviation 0.13, algebraic 0.48, text density 0.22. Edexcel IAL Mathematics FP2.

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Edexcel IAL · Mathematics · 2014 June

This Further Pure Mathematics 2 (WFM02) paper contains 9 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
- FP2
- 9 questions
- 75 marks
- Free paper
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Core finding

**WFM02/01 June 2014 is a past paper for Edexcel IAL Further Pure Mathematics 2 (WFM02), with 9 questions worth 75 marks.** Its mark-weighted Difficulty Measure is 0.46 on a 0.20–0.75 scale, with a Difficulty Deviation of 0.13 and a mark split of 9.3% Easy, 72.0% Medium and 18.7% Hard. Algebraic complexity averages 0.48; text density and modelling average 0.22. All five measures use 14 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 14 parts carrying 75 part marks. Difficulty tags cover 14 parts, algebraic tags 14 and text-density tags 14. Tags are internal metadata, not official exam-board ratings.

- **Difficulty Measure**: 0.46 — 0.20–0.75 · nearer Medium
- **Difficulty Deviation**: 0.13 — 0 = uniform; higher = more mixed
- **Difficulty Ratio**: 9.3 / 72.0 / 18.7 — % Easy / Medium / Hard
- **Algebraic Complexity Measure**: 0.48 — 0.20–0.75 · nearer Medium
- **Text Density and Modelling Measure**: 0.22 — 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** | 0.46 | Σ(d_i × w_i) / Σw_i, with d = 0.20 / 0.45 / 0.75 |
| **Difficulty Deviation** | 0.13 | √(Σw_i(d_i − μ)^2 / Σw_i) |
| **Difficulty Ratio** | 9.3% Easy / 72.0% Medium / 18.7% Hard | marks in band / all tagged marks |
| **Algebraic Complexity Measure** | 0.48 | Σ(c_i × marks_i) / Σmarks_i, with c = 0.20 / 0.45 / 0.75 |
| **Text Density and Modelling Measure** | 0.22 | 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. Series](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/series/) | 6 | 0.37 Medium | 0.37 Medium | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=95cbab5e-7fc1-42e6-9579-add67b84a3d9&question_id=d16d20f8-70a5-431d-81dc-c53026569850&source_detail=WFM02%2F01+June+2014) |
| **Q2** FRQ | [1. Inequalities](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/inequalities/) | 7 | 0.45 Medium | 0.45 Medium | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=95cbab5e-7fc1-42e6-9579-add67b84a3d9&question_id=1d9fbc9f-7f2f-4772-9c60-3deb6de08cc3&source_detail=WFM02%2F01+June+2014) |
| **Q3** FRQ | [3. Further complex numbers](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/further-complex-numbers/) | 5 | 0.45 Medium | 0.45 Medium | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=95cbab5e-7fc1-42e6-9579-add67b84a3d9&question_id=1ea27b41-e731-4f16-a847-000ccdb67138&source_detail=WFM02%2F01+June+2014) |
| **Q4** FRQ | [3. Further complex numbers](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/further-complex-numbers/) | 7 | 0.75 Hard | 0.75 High | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=95cbab5e-7fc1-42e6-9579-add67b84a3d9&question_id=7be4a375-7654-4794-8f2e-cef3d37d9458&source_detail=WFM02%2F01+June+2014) |
| **Q5** FRQ | [6. Maclaurin and Taylor series](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/maclaurin-and-taylor-series/) | 12 | 0.41 Medium | 0.41 Medium | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=95cbab5e-7fc1-42e6-9579-add67b84a3d9&question_id=5a6ab30d-6490-4c66-9cc6-194ab5fb1e85&source_detail=WFM02%2F01+June+2014) |
| **Q6** FRQ | [4. First order differential equations](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/first-order-differential-equations/) | 9 | 0.45 Medium | 0.45 Medium | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=95cbab5e-7fc1-42e6-9579-add67b84a3d9&question_id=4835ee6e-15a6-46e6-92d4-0cef0af19bf5&source_detail=WFM02%2F01+June+2014) |
| **Q7** FRQ | [3. Further complex numbers](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/further-complex-numbers/) | 7 | 0.45 Medium | 0.45 Medium | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=95cbab5e-7fc1-42e6-9579-add67b84a3d9&question_id=07b94ecd-6b56-4e55-b261-e4082cd8eca5&source_detail=WFM02%2F01+June+2014) |
| **Q8** FRQ | [5. Second order differential equations](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/second-order-differential-equations/) | 12 | 0.45 Medium | 0.45 Medium | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=95cbab5e-7fc1-42e6-9579-add67b84a3d9&question_id=efa581d0-63f2-4e70-806b-4ffe66a9c0d4&source_detail=WFM02%2F01+June+2014) |
| **Q9** FRQ | [7. Polar coordinates](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/polar-coordinates/) | 10 | 0.52 Medium | 0.58 Medium | 0.38 Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=95cbab5e-7fc1-42e6-9579-add67b84a3d9&question_id=4e279efb-c010-4588-888e-e3b574610e90&source_detail=WFM02%2F01+June+2014) |

## Topics in this paper

- [2. Series](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/series/)
- [1. Inequalities](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/inequalities/)
- [3. Further complex numbers](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/further-complex-numbers/)
- [6. Maclaurin and Taylor series](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/maclaurin-and-taylor-series/)
- [4. First order differential equations](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/first-order-differential-equations/)
- [5. Second order differential equations](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/second-order-differential-equations/)
- [7. Polar coordinates](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/polar-coordinates/)

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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 0.46 from 14 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 0.13, 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 9.3% Easy, 72.0% Medium and 18.7% 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/further-pure-mathematics-2-wfm02/2014-june-wfm02-01/