# 9709 P1 Quadratics Topic Questions > CIE IAL 9709 P1: every Quadratics topic question from 49 papers (2020–2026), grouped by syllabus point. 182 questions, 671 marks, with direct links into the… - Canonical HTML: https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/quadratics/ - Markdown mirror: https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/quadratics/index.md --- CIE IAL · Mathematics · 9709 P1 · A Level Every 9709 P1 Quadratics topic question from the 2020–2027 syllabus, drawn from 49 papers (2020–2026) 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. - 9709 P1 - 5 subtopics - 182 topic questions - 49 papers - 671 tagged marks - [Back to Quadratics](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/quadratics/) - [All paper codes](https://www.examsci.com/topics/) Core finding **solve quadratic equations, and quadratic inequalities, in one unknown is the most frequently assessed subtopic in Quadratics, with 51 topic questions and 195 marks across 33 papers.** carry out the process of completing the square for a… follows with 43 topic questions and 108 marks. The topic contains 5 subtopics, 182 topic questions and 671 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 - [• solve quadratic equations, and quadratic inequalities, in one unknown](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/quadratics/solve-quadratic-equations-and-quadratic-inequalities-in-one-unknown/) (33 papers) — 51 · 24.5% - [• carry out the process of completing the square for a quadratic polynomial $ax^2+bx+c$ and use a completed square form](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/quadratics/carry-out-the-process-of-completing-the-square-for-a-quadratic-polynomial-ax-2-bx-c/) (33 papers) — 43 · 20.7% - [• recognise and solve equations in $x$ which are quadratic in some function of $x$](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/quadratics/recognise-and-solve-equations-in-x-which-are-quadratic-in-some-function-of-x/) (33 papers) — 42 · 20.2% - [• find the discriminant of a quadratic polynomial $ax^2+bx+c$ and use the discriminant](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/quadratics/find-the-discriminant-of-a-quadratic-polynomial-ax-2-bx-c-and-use-the-discriminant/) (38 papers) — 41 · 19.7% - [• solve by substitution a pair of simultaneous equations of which one is linear and one is quadratic](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/quadratics/solve-by-substitution-a-pair-of-simultaneous-equations-of-which-one-is-linear-and-one/) (29 papers) — 31 · 14.9% ### Marks by subtopic marks - [• solve quadratic equations, and quadratic inequalities, in one unknown](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/quadratics/solve-quadratic-equations-and-quadratic-inequalities-in-one-unknown/) (33 papers) — 195 · 24.7% - [• find the discriminant of a quadratic polynomial $ax^2+bx+c$ and use the discriminant](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/quadratics/find-the-discriminant-of-a-quadratic-polynomial-ax-2-bx-c-and-use-the-discriminant/) (38 papers) — 176 · 22.3% - [• recognise and solve equations in $x$ which are quadratic in some function of $x$](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/quadratics/recognise-and-solve-equations-in-x-which-are-quadratic-in-some-function-of-x/) (33 papers) — 161 · 20.4% - [• solve by substitution a pair of simultaneous equations of which one is linear and one is quadratic](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/quadratics/solve-by-substitution-a-pair-of-simultaneous-equations-of-which-one-is-linear-and-one/) (29 papers) — 148 · 18.8% - [• carry out the process of completing the square for a quadratic polynomial $ax^2+bx+c$ and use a completed square form](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/quadratics/carry-out-the-process-of-completing-the-square-for-a-quadratic-polynomial-ax-2-bx-c/) (33 papers) — 108 · 13.7% ## 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 | | | --- | --- | --- | --- | --- | --- | | **[• carry out the process of completing the square for a quadratic polynomial $ax^2+bx+c$ and use a completed square form](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/quadratics/carry-out-the-process-of-completing-the-square-for-a-quadratic-polynomial-ax-2-bx-c/)** | 43 | 33 | 108 | 2020–2026 | [Open topic questions](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/quadratics/carry-out-the-process-of-completing-the-square-for-a-quadratic-polynomial-ax-2-bx-c/) | | **[• find the discriminant of a quadratic polynomial $ax^2+bx+c$ and use the discriminant](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/quadratics/find-the-discriminant-of-a-quadratic-polynomial-ax-2-bx-c-and-use-the-discriminant/)** | 41 | 38 | 176 | 2020–2026 | [Open topic questions](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/quadratics/find-the-discriminant-of-a-quadratic-polynomial-ax-2-bx-c-and-use-the-discriminant/) | | **[• recognise and solve equations in $x$ which are quadratic in some function of $x$](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/quadratics/recognise-and-solve-equations-in-x-which-are-quadratic-in-some-function-of-x/)** | 42 | 33 | 161 | 2020–2026 | [Open topic questions](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/quadratics/recognise-and-solve-equations-in-x-which-are-quadratic-in-some-function-of-x/) | | **[• solve by substitution a pair of simultaneous equations of which one is linear and one is quadratic](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/quadratics/solve-by-substitution-a-pair-of-simultaneous-equations-of-which-one-is-linear-and-one/)** | 31 | 29 | 148 | 2020–2026 | [Open topic questions](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/quadratics/solve-by-substitution-a-pair-of-simultaneous-equations-of-which-one-is-linear-and-one/) | | **[• solve quadratic equations, and quadratic inequalities, in one unknown](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/quadratics/solve-quadratic-equations-and-quadratic-inequalities-in-one-unknown/)** | 51 | 33 | 195 | 2020–2026 | [Open topic questions](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/quadratics/solve-quadratic-equations-and-quadratic-inequalities-in-one-unknown/) | ## Browse every topic question - [• carry out the process of completing the square for a quadratic polynomial $ax^2+bx+c$ and use a completed square form](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/quadratics/carry-out-the-process-of-completing-the-square-for-a-quadratic-polynomial-ax-2-bx-c/) — 43 question items · 33 papers — 108 marks · 2020–2026 - [• find the discriminant of a quadratic polynomial $ax^2+bx+c$ and use the discriminant](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/quadratics/find-the-discriminant-of-a-quadratic-polynomial-ax-2-bx-c-and-use-the-discriminant/) — 41 question items · 38 papers — 176 marks · 2020–2026 - [• recognise and solve equations in $x$ which are quadratic in some function of $x$](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/quadratics/recognise-and-solve-equations-in-x-which-are-quadratic-in-some-function-of-x/) — 42 question items · 33 papers — 161 marks · 2020–2026 - [• solve by substitution a pair of simultaneous equations of which one is linear and one is quadratic](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/quadratics/solve-by-substitution-a-pair-of-simultaneous-equations-of-which-one-is-linear-and-one/) — 31 question items · 29 papers — 148 marks · 2020–2026 - [• solve quadratic equations, and quadratic inequalities, in one unknown](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/quadratics/solve-quadratic-equations-and-quadratic-inequalities-in-one-unknown/) — 51 question items · 33 papers — 195 marks · 2020–2026 ## Other topics in 9709 P1 - [Circular measure 102 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/circular-measure/) - [Coordinate geometry 186 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/coordinate-geometry/) - [Differentiation 183 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/differentiation/) - [Functions 218 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/functions/) - [Integration 100 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/integration/) - [Series 198 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/series/) - [Trigonometry 154 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/trigonometry/) ## Topic question rules and edge cases **How many subtopics does Quadratics contain?** This page lists 5 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/cie-ial/mathematics/9709-p1/quadratics/