CIE IAL · Mathematics · 9709 P1 · Quadratics

Topic Questions: • carry out the process of completing the square for a quadratic polynomial and use a completed square form — 9709 P1 Quadratics

43 9709 P1 Quadratics topic questions are tagged to this syllabus point across 33 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.

43 topic questions 33 papers 108 tagged marks 23.6% of topic questions 16.1% of topic marks 2020–2026 Syllabus 2020–2027

Core finding

This Quadratics syllabus point appears in 33 9709 P1 papers across 2020–2026, contributing 43 topic questions and 108 marks. The most recent appearance is 9709/12 May/June 2026. That equals 23.6% of the 182 topic questions and 16.1% 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.

PaperQuestionTypePartsMarksDifficultyPractice
9709/12May/June 2026 · CIE IAL Q10
Quadratic Function and Inverse Function - CIE A-Level Maths 2026 Jun Paper 12 Q10
FRQ 1 of 3 parts ((b)(i)) 2
of 9 on the paper
Medium Go to Practice Hub
9709/15May/June 2026 · CIE IAL Q5
Completing the Square and Hidden Quadratic - CIE Pure Mathematics 2026 Jun Paper 15 Q5
FRQ 2 parts ((a), (b)) 6 Easy Go to Practice Hub
9709/11October/November 2025 · CIE IAL Q4
Completing the Square and Transformation - CIE Pure Mathematics Q4
FRQ 1 of 2 parts ((a)) 3
of 6 on the paper
Easy Go to Practice Hub
9709/12October/November 2025 · CIE IAL Q1
Completing the Square and Roots - CIE A-Level Maths 2025 Nov Paper 12 Q1
FRQ 3 parts ((a), (b), (c)) 5 Easy 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 ((a)(i)) 3
of 9 on the paper
Easy Go to Practice Hub
9709/15October/November 2025 · CIE IAL Q3
Completing the Square and Line-Curve Intersection - CIE Mathematics 2025 Nov Paper 15 Q3
FRQ 2 parts ((a), (b)) 3 Easy Go to Practice Hub
9709/12May/June 2025 · CIE IAL Q11
Completed Square and Inverse Composite Functions - CIE 9709 Pure Mathematics 1 2025 Jun Paper 12 Q11
FRQ 1 of 3 parts ((a)) 2
of 9 on the paper
Easy Go to Practice Hub
9709/13May/June 2025 · CIE IAL Q11
Range of Quadratic and Composite Functions - CIE 9709 2025 Jun Paper 13 Q11
FRQ 1 of 2 parts ((a)) 4
of 10 on the paper
Medium Go to Practice Hub
9709/15May/June 2025 · CIE IAL Q3
Completing Square and Trigonometric Substitution - CIE A-Level Mathematics 2025 Jun Paper 15 Q3
FRQ 1 of 2 parts ((a)) 2
of 5 on the paper
Easy Go to Practice Hub
9709/11October/November 2024 · CIE IAL Q11
Quadratic Function Transformations and Inverse - CIE Mathematics 2024 Nov Paper 11 Q11
FRQ 1 of 4 parts ((a)) 3
of 11 on the paper
Medium Go to Practice Hub
9709/12October/November 2024 · CIE IAL Q7
Quadratic Vertex and Area Bounded by Line - CIE A-Level Maths 2024 Nov Paper 12 Q7
FRQ 1 of 2 parts ((a)) 3
of 8 on the paper
Easy Go to Practice Hub
9709/13October/November 2024 · CIE IAL Q8
Quadratic Function Inverse and Composite - CIE Pure Mathematics 2024 Nov Paper 13 Q8
FRQ 1 of 4 parts ((a)) 2
of 9 on the paper
Easy Go to Practice Hub
9709/11May/June 2024 · CIE IAL Q1
Completing the Square and Quartic Equation - CIE Pure Mathematics 1 2024 Jun Q1
FRQ 1 of 2 parts ((a)) 2
of 5 on the paper
Easy Go to Practice Hub
9709/13May/June 2024 · CIE IAL Q11
Quadratic Functions and Inverse Intersections - CIE 9709 s24 qp 13 Q11
FRQ 1 of 2 parts ((a)) 3
of 9 on the paper
Medium Go to Practice Hub
9709/11October/November 2023 · CIE IAL Q9
Composite and Inverse Functions - CIE Mathematics 2023 Nov Paper 11 Q9
FRQ 1 of 4 parts ((a)) 2
of 9 on the paper
Easy Go to Practice Hub
9709/12October/November 2023 · CIE IAL Q6
Transformed Quadratic Curve - CIE 9709 P12 2023 Nov Q6
FRQ 2 of 3 parts ((a), (c)) 6
of 8 on the paper
Easy Go to Practice Hub
9709/12May/June 2023 · CIE IAL Q3
Completing the Square and Discriminant - CIE Math 2023 Jun Paper 12 Q3
FRQ 1 of 2 parts ((a)) 2
of 3 on the paper
Easy Go to Practice Hub
9709/13May/June 2023 · CIE IAL Q2
Quadratic Inequality Range - CIE Pure Mathematics 1 2023 Jun Q2
FRQ 1 part 4 Medium Go to Practice Hub
9709/12October/November 2022 · CIE IAL Q6
Completing the Square and Quadratic Curve - CIE Pure Mathematics 2022 Nov Paper 12 Q6
FRQ 3 parts ((a), (b), (c)) 9 Easy Go to Practice Hub
9709/13October/November 2022 · CIE IAL Q2
Completing the Square and Inverse Function - CIE A-Level Maths 2022 Nov Paper 13 Q2
FRQ 1 of 3 parts ((a)) 2
of 6 on the paper
Medium Go to Practice Hub
9709/11May/June 2022 · CIE IAL Q1
Completing the Square - CIE 9709 s22 qp 11 Q1
FRQ 2 parts ((a), (b)) 4 Easy Go to Practice Hub
9709/13May/June 2022 · CIE IAL Q6
Quadratic Function Inverse and Composition - CIE Pure Mathematics 2022 Jun Paper 13 Q6
FRQ 1 of 4 parts ((a)) 2
of 8 on the paper
Easy Go to Practice Hub
9709/12March 2022 · CIE IAL Q5
Transformations of Quadratic Functions - CIE 9709 Pure Mathematics 1 March 2022 Paper 12 Q5
FRQ 1 of 2 parts ((a)) 2
of 6 on the paper
Easy Go to Practice Hub
9709/11October/November 2021 · CIE IAL Q8
Completed Square Form and Function Transformations - CIE 9709 Pure Mathematics 2021 Nov Paper 11 Q8
FRQ 1 of 5 parts ((a)) 2
of 10 on the paper
Easy Go to Practice Hub
9709/13October/November 2021 · CIE IAL Q3
Completing the Square and Monotonicity - CIE A-Level Mathematics 2021 Nov Paper 13 Q3
FRQ 2 parts ((a), (b)) 5 Easy Go to Practice Hub
9709/12May/June 2021 · CIE IAL Q1
Completing the Square - CIE A-Level Maths 2021 Jun P12 Q1
FRQ 2 parts ((a), (b)) 4 Easy Go to Practice Hub
9709/13May/June 2021 · CIE IAL Q6
Completed Square and Graph Transformations - CIE P1 2021 Jun Q6
FRQ 1 of 2 parts ((a)) 4
of 6 on the paper
Medium Go to Practice Hub
9709/12March 2021 · CIE IAL Q7
Inverse and Composite Functions - CIE Pure Mathematics 2021 Mar Paper 12 Q7
FRQ 1 of 3 parts ((a)) 3
of 8 on the paper
Medium Go to Practice Hub
9709/12October/November 2020 · CIE IAL Q3
Intersection of Line and Quadratic Curve - CIE 9709 Nov 2020 Paper 12 Q3
FRQ 1 part 5 Medium Go to Practice Hub
9709/13October/November 2020 · CIE IAL Q1
Completing Square and Graph Transformations - CIE 9709 Nov 2020 P13 Q1
FRQ 1 of 2 parts ((a)) 2
of 4 on the paper
Easy 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 ((b)) 3
of 6 on the paper
Medium Go to Practice Hub
9709/13May/June 2020 · CIE IAL Q9
Quadratic Functions and Inverses - CIE Pure Mathematics 2020 June Paper 13 Q9
FRQ 1 of 4 parts ((a)) 2
of 9 on the paper
Easy Go to Practice Hub
9709/12March 2020 · CIE IAL Q9
Composite Functions and Inverse Functions - CIE A-Level Maths 2020 Mar Paper 12 Q9
FRQ 1 of 4 parts ((a)) 2
of 8 on the paper
Medium Go to Practice Hub

Topic question rules and edge cases

How many topic questions cover this syllabus point?
33 question stems cover this subtopic across 33 papers, but only 43 tagged parts and 108 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.