CIE IAL · Mathematics · 9709 P1 · Quadratics
Topic Questions: • solve by substitution a pair of simultaneous equations of which one is linear and one is quadratic — 9709 P1 Quadratics
31 9709 P1 Quadratics topic questions are tagged to this syllabus point across 29 papers (2020–2026). Only the parts whose knowledge graph matches this syllabus statement are counted, and the table shows which parts of each question are involved.
Core finding
This Quadratics syllabus point appears in 29 9709 P1 papers across 2020–2026, contributing 31 topic questions and 148 marks. The most recent appearance is 9709/13 May/June 2026. That equals 17.0% of the 182 topic questions and 22.1% of the 671 marks tagged to Quadratics. Only parts tagged to this subtopic are counted, so a four-part question can contribute one item and one part's marks. The table lists every matching question, its tagged parts and marks, with a link back to the paper page. Sessions are newest first, so the statement can be traced back through the full paper history.
Topic questions by session
Newest sessions first. Parts and marks count only the parts tagged to this subtopic; “x of y parts” shows how much of the question is tagged elsewhere. Select the paper cell to open the matching question on the paper page, or use Go to Practice Hub to answer that exact question in the Interactive Practice Hub.
| Paper | Question | Type | Parts | Marks | Difficulty | Practice |
|---|---|---|---|---|---|---|
| 9709/13May/June 2026 · CIE IAL | Q1 Intersection of Curve and Line - CIE Pure Mathematics 2026 Jun Q1 |
FRQ | 1 of 2 parts ((a)) | 4 of 5 on the paper |
Easy | Go to Practice Hub |
| 9709/15May/June 2026 · CIE IAL | Q1 Simultaneous Equations - CIE Pure Mathematics 2026 Jun Paper 15 Q1 |
FRQ | 1 part | 5 | Medium | Go to Practice Hub |
| 9709/15May/June 2026 · CIE IAL | Q6 Line and Curve Intersection Discriminant - CIE Pure Mathematics 2026 Jun Paper 15 Q6 |
FRQ | 1 part | 4 | Medium | Go to Practice Hub |
| 9709/11October/November 2025 · CIE IAL | Q10 Line Circle Intersection and Triangle Area - CIE Pure Mathematics Q10 |
FRQ | 1 of 2 parts ((a)) | 4 of 7 on the paper |
Medium | Go to Practice Hub |
| 9709/13October/November 2025 · CIE IAL | Q10 Quadratic Polynomial Properties - CIE A-Level Maths 2025 Q10 |
FRQ | 1 of 3 parts ((b)) | 5 of 9 on the paper |
Easy | Go to Practice Hub |
| 9709/11May/June 2025 · CIE IAL | Q6 Intersection of Curve and Line - CIE Pure Mathematics 2025 Jun Paper 11 Q6 |
FRQ | 1 of 2 parts ((a)) | 4 of 9 on the paper |
Medium | Go to Practice Hub |
| 9709/12May/June 2025 · CIE IAL | Q2 Simultaneous Linear and Quadratic Equations - CIE 9709 Pure Mathematics 1 2025 Jun Paper 12 Q2 |
FRQ | 1 part | 4 | Easy | Go to Practice Hub |
| 9709/13May/June 2025 · CIE IAL | Q6 Arithmetic Progression Simultaneous Equations - CIE 9709 2025 Jun Paper 13 Q6 |
FRQ | 1 part | 6 | Medium | Go to Practice Hub |
| 9709/15May/June 2025 · CIE IAL | Q8 Cubic Curve Stationary Points - CIE A-Level Mathematics 2025 Jun Paper 15 Q8 |
FRQ | 1 of 3 parts ((a)) | 5 of 11 on the paper |
Medium | Go to Practice Hub |
| 9709/11October/November 2024 · CIE IAL | Q4 Intersection of Curve and Line with Discriminant - CIE Mathematics 2024 Nov Paper 11 Q4 |
FRQ | 1 part | 5 | Medium | Go to Practice Hub |
| 9709/12October/November 2024 · CIE IAL | Q6 Metal Plate Sectors Perimeter and Area - CIE A-Level Maths 2024 Nov Paper 12 Q6 |
FRQ | 1 part | 6 | Hard | Go to Practice Hub |
| 9709/12October/November 2024 · CIE IAL | Q9 Intersection of Quadratic Curve and Line - CIE A-Level Maths 2024 Nov Paper 12 Q9 |
FRQ | 1 of 2 parts ((a)) | 7 of 10 on the paper |
Hard | Go to Practice Hub |
| 9709/11May/June 2024 · CIE IAL | Q10 Tangents to Circle and Points of Contact - CIE Pure Mathematics 1 2024 Jun Q10 |
FRQ | 1 part | 8 | Hard | Go to Practice Hub |
| 9709/13May/June 2024 · CIE IAL | Q3 Sector Perimeter and Area - CIE 9709 s24 qp 13 Q3 |
FRQ | 1 of 2 parts ((a)) | 4 of 6 on the paper |
Medium | Go to Practice Hub |
| 9709/12March 2024 · CIE IAL | Q7 Intersection of Line and Quadratic Curve - CIE Pure Mathematics 1 2024 March Paper 12 Q7 |
FRQ | 1 of 2 parts ((a)) | 4 of 6 on the paper |
Medium | Go to Practice Hub |
| 9709/13October/November 2023 · CIE IAL | Q6 Line Tangent to Quadratic Curve - CIE A-Level Maths 2023 Nov Paper 13 Q6 |
FRQ | 1 part | 7 | Hard | Go to Practice Hub |
| 9709/11May/June 2023 · CIE IAL | Q5 Tangent to Hyperbola and Discriminant - CIE 9709 Pure Mathematics June 2023 Paper 11 Q5 |
FRQ | 1 part | 5 | Medium | Go to Practice Hub |
| 9709/13May/June 2023 · CIE IAL | Q5 Circle and Line Intersection - CIE Pure Mathematics 1 2023 Jun Q5 |
FRQ | 1 of 2 parts ((a)) | 4 of 7 on the paper |
Medium | Go to Practice Hub |
| 9709/13October/November 2022 · CIE IAL | Q10 Circle Line Intersection and Volume of Revolution - CIE A-Level Maths 2022 Nov Paper 13 Q10 |
FRQ | 1 of 3 parts ((a)) | 4 of 10 on the paper |
Medium | Go to Practice Hub |
| 9709/11May/June 2022 · CIE IAL | Q7 Intersection and Area Between Curve and Line - CIE 9709 s22 qp 11 Q7 |
FRQ | 1 of 2 parts ((a)) | 4 of 9 on the paper |
Medium | Go to Practice Hub |
| 9709/12May/June 2022 · CIE IAL | Q5 Intersection and Tangency of Line and Curve - CIE P1 2022 Jun Q5 |
FRQ | 1 of 2 parts ((a)) | 4 of 9 on the paper |
Medium | Go to Practice Hub |
| 9709/13May/June 2022 · CIE IAL | Q7 Circle Line Intersection Coords - CIE Pure Mathematics 2022 Jun Paper 13 Q7 |
FRQ | 1 of 2 parts ((b)) | 5 of 7 on the paper |
Easy | Go to Practice Hub |
| 9709/12March 2022 · CIE IAL | Q2 Intersection of Curve and Line - CIE 9709 Pure Mathematics 1 March 2022 Paper 12 Q2 |
FRQ | 1 part | 5 | Medium | Go to Practice Hub |
| 9709/11October/November 2021 · CIE IAL | Q2 Non-intersecting Line and Quadratic Curve - CIE 9709 Pure Mathematics 2021 Nov Paper 11 Q2 |
FRQ | 1 part | 5 | Medium | Go to Practice Hub |
| 9709/13October/November 2021 · CIE IAL | Q9 Line Intersections and Tangents to Circle - CIE A-Level Mathematics 2021 Nov Paper 13 Q9 |
FRQ | 1 of 2 parts ((a)) | 7 of 12 on the paper |
Hard | Go to Practice Hub |
| 9709/13May/June 2021 · CIE IAL | Q3 Tangent Line to Quadratic Curve - CIE P1 2021 Jun Q3 |
FRQ | 1 part | 6 | Medium | Go to Practice Hub |
| 9709/13October/November 2020 · CIE IAL | Q4 Intersection of Line and Curve using Discriminant - CIE 9709 Nov 2020 P13 Q4 |
FRQ | 1 part | 5 | Medium | Go to Practice Hub |
| 9709/11May/June 2020 · CIE IAL | Q5 Intersection of Line and Hyperbola - CIE Pure Mathematics 2020 Jun Paper 11 Q5 |
FRQ | 1 of 2 parts ((a)) | 3 of 6 on the paper |
Medium | Go to Practice Hub |
| 9709/12May/June 2020 · CIE IAL | Q6 Quadratic Curve Tangent Condition - CIE P1 2020 Jun Q6 |
FRQ | 1 of 2 parts ((a)) | 3 of 6 on the paper |
Medium | Go to Practice Hub |
| 9709/13May/June 2020 · CIE IAL | Q1 Intersection of Line and Curve - CIE Pure Mathematics 2020 June Paper 13 Q1 |
FRQ | 1 part | 4 | Medium | Go to Practice Hub |
| 9709/12March 2020 · CIE IAL | Q12 Equations and Intersection of Two Circles - CIE A-Level Maths 2020 Mar Paper 12 Q12 |
FRQ | 1 of 4 parts ((d)) | 2 of 11 on the paper |
Easy | Go to Practice Hub |
Related topic questions in Quadratics
• carry out the process of completing the square for a quadratic polynomial and use a completed square form
108 marks · 2020–2026
• find the discriminant of a quadratic polynomial and use the discriminant
176 marks · 2020–2026
• recognise and solve equations in which are quadratic in some function of
161 marks · 2020–2026
• solve quadratic equations, and quadratic inequalities, in one unknown
195 marks · 2020–2026
Topic question rules and edge cases
- How many topic questions cover this syllabus point?
- 31 question stems cover this subtopic across 29 papers, but only 31 tagged parts and 148 marks belong to it. Other parts of the same questions are assessed under different statements and are excluded from this page.
- Which papers include this subtopic?
- The table lists every matching session from 2020–2026. Each row links to the question anchor on the paper page, where the full paper context and practice entry point are available.
- Why can one question appear under several subtopics?
- The parts of one question can assess different syllabus statements. Each part is counted under its own subtopics, so the same question stem can appear on several subtopic pages while each page lists only the parts and marks tagged to that statement.
- Can I practise these questions with AI marking?
- Yes. Open a paper from the table and use the Interactive Practice Hub entry point. The page itself is static HTML so search engines and retrieval agents can read the full question list without executing JavaScript.