# WFM01 Complex numbers Topic Questions > Edexcel IAL WFM01: every Complex numbers topic question from 27 papers (2014–2026), grouped by syllabus point. 138 questions, 398 marks, with direct links… - Canonical HTML: https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/ - Markdown mirror: https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/index.md --- Edexcel IAL · Mathematics · WFM01 · A Level Every WFM01 Complex numbers topic question from the 2014–current syllabus, drawn from 27 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. - WFM01 - 6 subtopics - 138 topic questions - 27 papers - 398 tagged marks - [Back to Complex numbers](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/) - [All paper codes](https://www.examsci.com/topics/) Core finding **1.6 Finding conjugate complex roots and/or real roots of a quartic… is the most frequently assessed subtopic in Complex numbers, with 48 topic questions and 156 marks across 24 papers.** 1.1 Definition of complex numbers in the form … and … follows with 40 topic questions and 118 marks. The topic contains 6 subtopics, 138 topic questions and 398 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 - [1.6 Finding conjugate complex roots and/or real roots of a quartic equation with real coefficients.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/1-6-finding-conjugate-complex-roots-and-or-real-roots-of-a-quartic-equation-with-real/) (24 papers) — 48 · 27.6% - [1.1 Definition of complex numbers in the form $a+ib$ and $r\cos\theta+i\ r\sin\theta.$](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/1-1-definition-of-complex-numbers-in-the-form-a-ib-and-r-cos-theta-i-r-sin-theta/) (23 papers) — 40 · 23.0% - [1.2 Sum, product and quotient of complex numbers.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/1-2-sum-product-and-quotient-of-complex-numbers/) (22 papers) — 38 · 21.8% - [1.3 Geometrical representation of complex numbers in the Argand diagram.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/1-3-geometrical-representation-of-complex-numbers-in-the-argand-diagram/) (24 papers) — 30 · 17.2% - [1.5 Complex solutions of quadratic equations with real coefficients.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/1-5-complex-solutions-of-quadratic-equations-with-real-coefficients/) (12 papers) — 15 · 8.6% - [1.4 Geometrical representation of sums, products and quotients of complex numbers.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/1-4-geometrical-representation-of-sums-products-and-quotients-of-complex-numbers/) (1 papers) — 3 · 1.7% ### Marks by subtopic marks - [1.6 Finding conjugate complex roots and/or real roots of a quartic equation with real coefficients.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/1-6-finding-conjugate-complex-roots-and-or-real-roots-of-a-quartic-equation-with-real/) (24 papers) — 156 · 29.6% - [1.2 Sum, product and quotient of complex numbers.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/1-2-sum-product-and-quotient-of-complex-numbers/) (22 papers) — 132 · 25.0% - [1.1 Definition of complex numbers in the form $a+ib$ and $r\cos\theta+i\ r\sin\theta.$](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/1-1-definition-of-complex-numbers-in-the-form-a-ib-and-r-cos-theta-i-r-sin-theta/) (23 papers) — 118 · 22.4% - [1.3 Geometrical representation of complex numbers in the Argand diagram.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/1-3-geometrical-representation-of-complex-numbers-in-the-argand-diagram/) (24 papers) — 61 · 11.6% - [1.5 Complex solutions of quadratic equations with real coefficients.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/1-5-complex-solutions-of-quadratic-equations-with-real-coefficients/) (12 papers) — 55 · 10.4% - [1.4 Geometrical representation of sums, products and quotients of complex numbers.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/1-4-geometrical-representation-of-sums-products-and-quotients-of-complex-numbers/) (1 papers) — 5 · 0.9% ## 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 | | | --- | --- | --- | --- | --- | --- | | **[1.1 Definition of complex numbers in the form $a+ib$ and $r\cos\theta+i\ r\sin\theta.$](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/1-1-definition-of-complex-numbers-in-the-form-a-ib-and-r-cos-theta-i-r-sin-theta/)** | 40 | 23 | 118 | 2014–2026 | [Open topic questions](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/1-1-definition-of-complex-numbers-in-the-form-a-ib-and-r-cos-theta-i-r-sin-theta/) | | **[1.2 Sum, product and quotient of complex numbers.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/1-2-sum-product-and-quotient-of-complex-numbers/)** | 38 | 22 | 132 | 2014–2026 | [Open topic questions](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/1-2-sum-product-and-quotient-of-complex-numbers/) | | **[1.3 Geometrical representation of complex numbers in the Argand diagram.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/1-3-geometrical-representation-of-complex-numbers-in-the-argand-diagram/)** | 30 | 24 | 61 | 2014–2026 | [Open topic questions](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/1-3-geometrical-representation-of-complex-numbers-in-the-argand-diagram/) | | **[1.4 Geometrical representation of sums, products and quotients of complex numbers.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/1-4-geometrical-representation-of-sums-products-and-quotients-of-complex-numbers/)** | 3 | 1 | 5 | 2014 | [Open topic questions](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/1-4-geometrical-representation-of-sums-products-and-quotients-of-complex-numbers/) | | **[1.5 Complex solutions of quadratic equations with real coefficients.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/1-5-complex-solutions-of-quadratic-equations-with-real-coefficients/)** | 15 | 12 | 55 | 2014–2026 | [Open topic questions](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/1-5-complex-solutions-of-quadratic-equations-with-real-coefficients/) | | **[1.6 Finding conjugate complex roots and/or real roots of a quartic equation with real coefficients.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/1-6-finding-conjugate-complex-roots-and-or-real-roots-of-a-quartic-equation-with-real/)** | 48 | 24 | 156 | 2014–2026 | [Open topic questions](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/1-6-finding-conjugate-complex-roots-and-or-real-roots-of-a-quartic-equation-with-real/) | ## Browse every topic question - [1.1 Definition of complex numbers in the form $a+ib$ and $r\cos\theta+i\ r\sin\theta.$](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/1-1-definition-of-complex-numbers-in-the-form-a-ib-and-r-cos-theta-i-r-sin-theta/) — 40 question items · 23 papers — 118 marks · 2014–2026 - [1.2 Sum, product and quotient of complex numbers.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/1-2-sum-product-and-quotient-of-complex-numbers/) — 38 question items · 22 papers — 132 marks · 2014–2026 - [1.3 Geometrical representation of complex numbers in the Argand diagram.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/1-3-geometrical-representation-of-complex-numbers-in-the-argand-diagram/) — 30 question items · 24 papers — 61 marks · 2014–2026 - [1.4 Geometrical representation of sums, products and quotients of complex numbers.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/1-4-geometrical-representation-of-sums-products-and-quotients-of-complex-numbers/) — 3 question items · 1 papers — 5 marks · 2014 - [1.5 Complex solutions of quadratic equations with real coefficients.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/1-5-complex-solutions-of-quadratic-equations-with-real-coefficients/) — 15 question items · 12 papers — 55 marks · 2014–2026 - [1.6 Finding conjugate complex roots and/or real roots of a quartic equation with real coefficients.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/1-6-finding-conjugate-complex-roots-and-or-real-roots-of-a-quartic-equation-with-real/) — 48 question items · 24 papers — 156 marks · 2014–2026 ## Other topics in WFM01 - [Coordinate systems 118 question items](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/coordinate-systems/) - [Matrix algebra integration 78 question items](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/matrix-algebra-integration/) - [Numerical solution of equations 81 question items](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/numerical-solution-of-equations/) - [Proof 43 question items](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/proof/) - [Roots of quadratic equations 78 question items](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/roots-of-quadratic-equations/) - [Series 51 question items](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/series/) - [Transformations using matrices 98 question items](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/transformations-using-matrices/) ## Topic question rules and edge cases **How many subtopics does Complex numbers contain?** This page lists 6 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-1-wfm01/complex-numbers/