# WFM02 Further complex numbers Topic Questions > Edexcel IAL WFM02: every Further complex numbers topic question from 21 papers (2014–2026), grouped by syllabus point. 101 questions, 393 marks, with direct… - Canonical HTML: https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/further-complex-numbers/ - Markdown mirror: https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/further-complex-numbers/index.md --- Edexcel IAL · Mathematics · WFM02 · A Level Every WFM02 Further complex numbers topic question from the 2014–current syllabus, drawn from 21 papers (2014–2026) and grouped by syllabus point. Each row opens a page listing the exact question numbers, marks and a direct link into the paper. These are questions by topic, not full papers, so you can revise one topic at a time. - WFM02 - 4 subtopics - 101 topic questions - 21 papers - 393 tagged marks - [Back to Further complex numbers](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/further-complex-numbers/) - [All paper codes](https://www.examsci.com/topics/) Core finding **3.2 De Moivre's theorem and its application to trigonometric… is the most frequently assessed subtopic in Further complex numbers, with 54 topic questions and 204 marks across 21 papers.** 3.4 Elementary transformations from the z-plane to the… follows with 27 topic questions and 131 marks. The topic contains 4 subtopics, 101 topic questions and 393 marks in total. Rows count only the parts tagged to that subtopic, keep the same colour in both charts and repeat paper count, tagged marks and year range in the native table. ## Topic question count and mark distribution Subtopics are on the vertical axis and sorted from highest to lowest. Only the parts whose knowledge graph matches a subtopic are counted for it, and percentages are each row's share of the tagged total in that chart. A part tagged to several subtopics is counted in each bar, so the bars are not a partition of the topic total. ### Questions by subtopic question items - [3.2 De Moivre's theorem and its application to trigonometric identities and to roots of a complex number.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/further-complex-numbers/3-2-de-moivre-s-theorem-and-its-application-to-trigonometric-identities-and-to-roots/) (21 papers) — 54 · 47.8% - [3.4 Elementary transformations from the z-plane to the w-plane.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/further-complex-numbers/3-4-elementary-transformations-from-the-z-plane-to-the-w-plane/) (18 papers) — 27 · 23.9% - [3.3 Loci and regions in the Argand diagram.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/further-complex-numbers/3-3-loci-and-regions-in-the-argand-diagram/) (13 papers) — 22 · 19.5% - [3.1 Euler's relation $e^{i\theta}=cos~\theta+i~sin~\theta.$](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/further-complex-numbers/3-1-euler-s-relation-e-i-theta-cos-theta-i-sin-theta/) (6 papers) — 10 · 8.8% ### Marks by subtopic marks - [3.2 De Moivre's theorem and its application to trigonometric identities and to roots of a complex number.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/further-complex-numbers/3-2-de-moivre-s-theorem-and-its-application-to-trigonometric-identities-and-to-roots/) (21 papers) — 204 · 45.8% - [3.4 Elementary transformations from the z-plane to the w-plane.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/further-complex-numbers/3-4-elementary-transformations-from-the-z-plane-to-the-w-plane/) (18 papers) — 131 · 29.4% - [3.3 Loci and regions in the Argand diagram.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/further-complex-numbers/3-3-loci-and-regions-in-the-argand-diagram/) (13 papers) — 79 · 17.8% - [3.1 Euler's relation $e^{i\theta}=cos~\theta+i~sin~\theta.$](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/further-complex-numbers/3-1-euler-s-relation-e-i-theta-cos-theta-i-sin-theta/) (6 papers) — 31 · 7.0% ## Subtopic comparison matrix Curriculum order is by syllabus number, then alphabetically. Every row links to the matching past-paper question list. | Subtopic | Topic questions | Papers | Marks | Years | | | --- | --- | --- | --- | --- | --- | | **[3.1 Euler's relation $e^{i\theta}=cos~\theta+i~sin~\theta.$](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/further-complex-numbers/3-1-euler-s-relation-e-i-theta-cos-theta-i-sin-theta/)** | 10 | 6 | 31 | 2014–2025 | [Open topic questions](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/further-complex-numbers/3-1-euler-s-relation-e-i-theta-cos-theta-i-sin-theta/) | | **[3.2 De Moivre's theorem and its application to trigonometric identities and to roots of a complex number.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/further-complex-numbers/3-2-de-moivre-s-theorem-and-its-application-to-trigonometric-identities-and-to-roots/)** | 54 | 21 | 204 | 2014–2026 | [Open topic questions](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/further-complex-numbers/3-2-de-moivre-s-theorem-and-its-application-to-trigonometric-identities-and-to-roots/) | | **[3.3 Loci and regions in the Argand diagram.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/further-complex-numbers/3-3-loci-and-regions-in-the-argand-diagram/)** | 22 | 13 | 79 | 2014–2026 | [Open topic questions](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/further-complex-numbers/3-3-loci-and-regions-in-the-argand-diagram/) | | **[3.4 Elementary transformations from the z-plane to the w-plane.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/further-complex-numbers/3-4-elementary-transformations-from-the-z-plane-to-the-w-plane/)** | 27 | 18 | 131 | 2014–2026 | [Open topic questions](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/further-complex-numbers/3-4-elementary-transformations-from-the-z-plane-to-the-w-plane/) | ## Browse every topic question - [3.1 Euler's relation $e^{i\theta}=cos~\theta+i~sin~\theta.$](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/further-complex-numbers/3-1-euler-s-relation-e-i-theta-cos-theta-i-sin-theta/) — 10 question items · 6 papers — 31 marks · 2014–2025 - [3.2 De Moivre's theorem and its application to trigonometric identities and to roots of a complex number.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/further-complex-numbers/3-2-de-moivre-s-theorem-and-its-application-to-trigonometric-identities-and-to-roots/) — 54 question items · 21 papers — 204 marks · 2014–2026 - [3.3 Loci and regions in the Argand diagram.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/further-complex-numbers/3-3-loci-and-regions-in-the-argand-diagram/) — 22 question items · 13 papers — 79 marks · 2014–2026 - [3.4 Elementary transformations from the z-plane to the w-plane.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/further-complex-numbers/3-4-elementary-transformations-from-the-z-plane-to-the-w-plane/) — 27 question items · 18 papers — 131 marks · 2014–2026 ## Other topics in WFM02 - [First order differential equations 46 question items](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/first-order-differential-equations/) - [Inequalities 30 question items](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/inequalities/) - [Maclaurin and Taylor series 55 question items](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/maclaurin-and-taylor-series/) - [Polar coordinates 44 question items](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/polar-coordinates/) - [Second order differential equations 56 question items](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/second-order-differential-equations/) - [Series 52 question items](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/series/) ## Topic question rules and edge cases **How many subtopics does Further complex numbers contain?** This page lists 4 subtopics tagged to the current syllabus. They are ordered by syllabus number, then alphabetically, and each row opens a page of matching past-paper questions. **How are the subtopic question and mark totals calculated?** A multiple-choice question contributes one item and its marks to every subtopic it is tagged with. A structured question contributes one item per tagged part, and that part’s marks; untagged parts of the same question are not counted here. A part tagged to several subtopics therefore appears under each of them. **Why do some subtopics have no numbered prefix?** Practical-skills statements and some syllabus bullets are unnumbered. Numbered statements come first; unnumbered statements and ties are sorted alphabetically. **Is the LaTeX rendered without JavaScript?** Yes. Subtopics that contain formulas are converted to static KaTeX HTML during the build, and the KaTeX stylesheet is served from the same site. --- Full page with native tables, bar charts and Practice Hub links: https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/further-complex-numbers/