# WFM01 Roots of quadratic equations Topic Questions > Edexcel IAL WFM01: every Roots of quadratic equations topic question from 26 papers (2014–2026), grouped by syllabus point. 78 questions, 230 marks, with… - Canonical HTML: https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/roots-of-quadratic-equations/ - Markdown mirror: https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/roots-of-quadratic-equations/index.md --- Edexcel IAL · Mathematics · WFM01 · A Level Every WFM01 Roots of quadratic equations topic question from the 2014–current syllabus, drawn from 26 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 - 3 subtopics - 78 topic questions - 26 papers - 230 tagged marks - [Back to Roots of quadratic equations](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/roots-of-quadratic-equations/) - [All paper codes](https://www.examsci.com/topics/) Core finding **2.2 Manipulation of expressions involving the sum of roots and… is the most frequently assessed subtopic in Roots of quadratic equations, with 58 topic questions and 196 marks across 26 papers.** 2.1 Sum of roots and product of roots of a quadratic… follows with 36 topic questions and 95 marks. The topic contains 3 subtopics, 78 topic questions and 230 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 - [2.2 Manipulation of expressions involving the sum of roots and product of roots.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/roots-of-quadratic-equations/2-2-manipulation-of-expressions-involving-the-sum-of-roots-and-product-of-roots/) (26 papers) — 58 · 48.3% - [2.1 Sum of roots and product of roots of a quadratic equation.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/roots-of-quadratic-equations/2-1-sum-of-roots-and-product-of-roots-of-a-quadratic-equation/) (26 papers) — 36 · 30.0% - [2.3 Forming quadratic equations with new roots.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/roots-of-quadratic-equations/2-3-forming-quadratic-equations-with-new-roots/) (25 papers) — 26 · 21.7% ### Marks by subtopic marks - [2.2 Manipulation of expressions involving the sum of roots and product of roots.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/roots-of-quadratic-equations/2-2-manipulation-of-expressions-involving-the-sum-of-roots-and-product-of-roots/) (26 papers) — 196 · 48.8% - [2.3 Forming quadratic equations with new roots.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/roots-of-quadratic-equations/2-3-forming-quadratic-equations-with-new-roots/) (25 papers) — 111 · 27.6% - [2.1 Sum of roots and product of roots of a quadratic equation.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/roots-of-quadratic-equations/2-1-sum-of-roots-and-product-of-roots-of-a-quadratic-equation/) (26 papers) — 95 · 23.6% ## 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 | | | --- | --- | --- | --- | --- | --- | | **[2.1 Sum of roots and product of roots of a quadratic equation.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/roots-of-quadratic-equations/2-1-sum-of-roots-and-product-of-roots-of-a-quadratic-equation/)** | 36 | 26 | 95 | 2014–2026 | [Open topic questions](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/roots-of-quadratic-equations/2-1-sum-of-roots-and-product-of-roots-of-a-quadratic-equation/) | | **[2.2 Manipulation of expressions involving the sum of roots and product of roots.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/roots-of-quadratic-equations/2-2-manipulation-of-expressions-involving-the-sum-of-roots-and-product-of-roots/)** | 58 | 26 | 196 | 2014–2026 | [Open topic questions](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/roots-of-quadratic-equations/2-2-manipulation-of-expressions-involving-the-sum-of-roots-and-product-of-roots/) | | **[2.3 Forming quadratic equations with new roots.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/roots-of-quadratic-equations/2-3-forming-quadratic-equations-with-new-roots/)** | 26 | 25 | 111 | 2014–2026 | [Open topic questions](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/roots-of-quadratic-equations/2-3-forming-quadratic-equations-with-new-roots/) | ## Browse every topic question - [2.1 Sum of roots and product of roots of a quadratic equation.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/roots-of-quadratic-equations/2-1-sum-of-roots-and-product-of-roots-of-a-quadratic-equation/) — 36 question items · 26 papers — 95 marks · 2014–2026 - [2.2 Manipulation of expressions involving the sum of roots and product of roots.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/roots-of-quadratic-equations/2-2-manipulation-of-expressions-involving-the-sum-of-roots-and-product-of-roots/) — 58 question items · 26 papers — 196 marks · 2014–2026 - [2.3 Forming quadratic equations with new roots.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/roots-of-quadratic-equations/2-3-forming-quadratic-equations-with-new-roots/) — 26 question items · 25 papers — 111 marks · 2014–2026 ## Other topics in WFM01 - [Complex numbers 138 question items](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/) - [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/) - [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 Roots of quadratic equations contain?** This page lists 3 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/roots-of-quadratic-equations/