CIE IAL · Mathematics · 9709 P3 · Numerical solution of equations
Topic Questions: • locate approximately a root of an equation, by means of graphical considerations and/or searching for a sign change — 9709 P3 Numerical solution of equations
52 9709 P3 Numerical solution of equations topic questions are tagged to this syllabus point across 36 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 Numerical solution of equations syllabus point appears in 36 9709 P3 papers across 2020–2026, contributing 52 topic questions and 103 marks. The most recent appearance is 9709/31 May/June 2026. That equals 39.7% of the 131 topic questions and 32.5% of the 317 marks tagged to Numerical solution of equations. 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 |
|---|---|---|---|---|---|---|
| 9709/31May/June 2026 · CIE IAL | Q6 Stationary Points and Numerical Solutions - CIE Pure Mathematics 2026 Q6 |
FRQ | 2 of 4 parts ((b), (c)) | 4 of 10 on the paper |
Medium | Go to Practice Hub |
| 9709/32May/June 2026 · CIE IAL | Q8 Numerical Solution of Trigonometric Equation - CIE A Level Mathematics 2026 June Paper 32 Q8 |
FRQ | 2 of 4 parts ((a), (b)) | 4 of 9 on the paper |
Easy | Go to Practice Hub |
| 9709/33May/June 2026 · CIE IAL | Q8 Numerical Roots of Cubic Equation - CIE Pure Mathematics 2026 Q8 |
FRQ | 2 of 4 parts ((a), (c)) | 3 of 8 on the paper |
Easy | Go to Practice Hub |
| 9709/32March 2026 · CIE IAL | Q7 Numerical Root Finding of Trigonometric Transcendental Equation - CIE P3 2026 Mar Q7 |
FRQ | 2 of 3 parts ((a), (b)) | 4 of 7 on the paper |
Medium | Go to Practice Hub |
| 9709/31October/November 2025 · CIE IAL | Q9 Numerical Roots of Trigonometric Equation - CIE Pure Mathematics 2025 Nov Q9 |
FRQ | 2 of 4 parts ((a), (b)) | 4 of 8 on the paper |
Easy | Go to Practice Hub |
| 9709/32October/November 2025 · CIE IAL | Q6 Trigonometric Root Location and Iterative Method - CIE A Level Maths 2025 Winter P32 Q6 |
FRQ | 2 of 3 parts ((a), (b)) | 4 of 7 on the paper |
Medium | Go to Practice Hub |
| 9709/33October/November 2025 · CIE IAL | Q8 Stationary Point and Iterative Method - CIE Pure Mathematics 2025 Nov Paper 33 Q8 |
FRQ | 2 of 4 parts ((b), (c)) | 4 of 10 on the paper |
Medium | Go to Practice Hub |
| 9709/35October/November 2025 · CIE IAL | Q10 Integration by Parts and Numerical Iteration - CIE A Level Mathematics 2025 Winter Paper 35 Q10 |
FRQ | 1 of 3 parts ((b)) | 2 of 10 on the paper |
Easy | Go to Practice Hub |
| 9709/31May/June 2025 · CIE IAL | Q9 Integration by Parts and Iterative Formula - CIE Pure Mathematics 2025 Jun Paper 31 Q9 |
FRQ | 1 of 3 parts ((b)) | 2 of 10 on the paper |
Hard | Go to Practice Hub |
| 9709/32May/June 2025 · CIE IAL | Q6 Modulus Equation and Numerical Methods - CIE A-Level Pure Mathematics 2025 May/June Paper 32 Q6 |
FRQ | 2 of 3 parts ((a), (b)) | 4 of 7 on the paper |
Easy | Go to Practice Hub |
| 9709/33May/June 2025 · CIE IAL | Q11 Stationary Point and Iterative Convergence - CIE A-Level Math 2025 Jun Paper 33 Q11 |
FRQ | 1 of 4 parts ((b)) | 2 of 11 on the paper |
Medium | Go to Practice Hub |
| 9709/35May/June 2025 · CIE IAL | Q8 Numerical Solution of Trigonometric Equation - CIE A Level Mathematics |
FRQ | 2 of 4 parts ((a), (b)) | 4 of 9 on the paper |
Easy | Go to Practice Hub |
| 9709/32March 2025 · CIE IAL | Q7 Stationary Point and Iterative Solution - CIE A-Level Math 2025 Mar Paper 32 Q7 |
FRQ | 1 of 3 parts ((b)) | 2 of 8 on the paper |
Easy | Go to Practice Hub |
| 9709/31October/November 2024 · CIE IAL | Q5 Numerical Roots of Exponential and Logarithmic Equation - CIE A-Level Maths 2024 Nov Paper 31 Q5 |
FRQ | 2 of 3 parts ((a), (b)) | 4 of 7 on the paper |
Medium | Go to Practice Hub |
| 9709/31May/June 2024 · CIE IAL | Q6 Numerical Solution of Equations - CIE A-Level Maths 2024 Jun Paper 31 Q6 |
FRQ | 2 of 5 parts ((a), (b)) | 4 of 9 on the paper |
Easy | Go to Practice Hub |
| 9709/32May/June 2024 · CIE IAL | Q5 Numerical Solution using Iterative Formula - CIE A Level Mathematics 2024 Jun P32 Q5 |
FRQ | 1 of 3 parts ((a)) | 2 of 6 on the paper |
Easy | Go to Practice Hub |
| 9709/32March 2024 · CIE IAL | Q7 Stationary Point and Iterative Method - CIE 9709 March 2024 Paper 32 Q7 |
FRQ | 1 of 3 parts ((b)) | 2 of 8 on the paper |
Easy | Go to Practice Hub |
| 9709/32October/November 2023 · CIE IAL | Q6 Root Location and Iteration for Trigonometric Equation - CIE 9709 2023 Nov Paper 32 Q6 |
FRQ | 2 of 3 parts ((a), (b)) | 4 of 7 on the paper |
Medium | Go to Practice Hub |
| 9709/31May/June 2023 · CIE IAL | Q9 Integration by Parts and Iterative Method - CIE Pure Mathematics 2023 Q9 |
FRQ | 1 of 3 parts ((b)) | 2 of 10 on the paper |
Easy | Go to Practice Hub |
| 9709/32May/June 2023 · CIE IAL | Q6 Numerical Root Finding with Iteration - CIE Pure Mathematics 2023 Q6 |
FRQ | 1 of 3 parts ((a)) | 2 of 7 on the paper |
Easy | Go to Practice Hub |
| 9709/32March 2023 · CIE IAL | Q7 Circle Sector Area and Iteration - CIE Pure Mathematics 2023 Mar Paper 32 Q7 |
FRQ | 1 of 3 parts ((b)) | 2 of 9 on the paper |
Easy | Go to Practice Hub |
| 9709/32October/November 2022 · CIE IAL | Q9 Semicircle Segment Area and Iterative Process - CIE Pure Mathematics 2022 Nov Paper 32 Q9 |
FRQ | 1 of 3 parts ((b)) | 2 of 9 on the paper |
Easy | Go to Practice Hub |
| 9709/33October/November 2022 · CIE IAL | Q8 Stationary Point and Iterative Method - CIE Pure Mathematics 3 |
FRQ | 1 of 3 parts ((b)) | 2 of 8 on the paper |
Easy | Go to Practice Hub |
| 9709/31May/June 2022 · CIE IAL | Q10 Stationary Point and Iterative Solution - CIE Pure Mathematics 2022 Jun Paper 31 Q10 |
FRQ | 1 of 4 parts ((b)) | 2 of 11 on the paper |
Medium | Go to Practice Hub |
| 9709/32May/June 2022 · CIE IAL | Q5 Numerical Roots and Iteration - CIE Mathematics 2022 Jun Q5 |
FRQ | 2 of 3 parts ((a), (b)) | 4 of 7 on the paper |
Easy | Go to Practice Hub |
| 9709/33May/June 2022 · CIE IAL | Q10 Integration by Parts and Iterative Formula - CIE A Level Mathematics 2022 Jun Paper 33 Q10 |
FRQ | 1 of 3 parts ((b)) | 2 of 10 on the paper |
Easy | Go to Practice Hub |
| 9709/32March 2022 · CIE IAL | Q7 Numerical Solution of Equations - CIE A Level Mathematics 2022 Mar Paper 32 Q7 |
FRQ | 2 of 3 parts ((a), (b)) | 4 of 7 on the paper |
Easy | Go to Practice Hub |
| 9709/31May/June 2021 · CIE IAL | Q7 Stationary Point and Iterative Solution - CIE Mathematics 2021 Jun Paper 31 Q7 |
FRQ | 1 of 3 parts ((b)) | 2 of 9 on the paper |
Hard | Go to Practice Hub |
| 9709/32May/June 2021 · CIE IAL | Q10 Trapezium Area and Iterative Solution - CIE 9709 2021 Jun Paper 32 Q10 |
FRQ | 1 of 4 parts ((b)) | 2 of 10 on the paper |
Easy | Go to Practice Hub |
| 9709/33May/June 2021 · CIE IAL | Q6 Root Location and Iteration - CIE 9709 2021 Jun Paper 33 Q6 |
FRQ | 2 of 3 parts ((a), (b)) | 4 of 7 on the paper |
Easy | Go to Practice Hub |
| 9709/32March 2021 · CIE IAL | Q9 Numerical Iteration and Quotient Rule Differentiation - CIE A-Level Mathematics 2021 March Paper 32 Q9 |
FRQ | 1 of 3 parts ((a)) | 2 of 11 on the paper |
Easy | Go to Practice Hub |
| 9709/31October/November 2020 · CIE IAL | Q5 Roots of Cosecant and Exponential Equation - CIE 9709 W20 P31 Q5 |
FRQ | 1 of 2 parts ((a)) | 2 of 5 on the paper |
Medium | Go to Practice Hub |
| 9709/33October/November 2020 · CIE IAL | Q5 Numerical Solution of Equations - CIE Pure Mathematics 2020 Nov Paper 33 Q5 |
FRQ | 1 of 2 parts ((a)) | 2 of 5 on the paper |
Medium | Go to Practice Hub |
| 9709/31May/June 2020 · CIE IAL | Q6 Tangents to Circle and Iteration - CIE 2020 Jun Paper 31 Q6 |
FRQ | 1 of 3 parts ((b)) | 2 of 8 on the paper |
Easy | Go to Practice Hub |
| 9709/33May/June 2020 · CIE IAL | Q6 Graphical Root Location and Iteration - CIE Pure Mathematics 2020 Jun Q6 |
FRQ | 1 of 3 parts ((a)) | 2 of 7 on the paper |
Easy | Go to Practice Hub |
| 9709/32March 2020 · CIE IAL | Q3 Root Location and Iteration - CIE Pure Mathematics 3 March 2020 Q3 |
FRQ | 2 of 3 parts ((a), (b)) | 4 of 7 on the paper |
Medium | Go to Practice Hub |
Related topic questions in Numerical solution of equations
• understand how a given simple iterative formula of the form relates to the equation being solved, and use a given iteration, or an iteration based on a given rearrangement of an equation, to determine a root to a prescribed degree of accuracy
159 marks · 2020–2026
• understand the idea of, and use the notation for, a sequence of approximations which converges to a root of an equation
58 marks · 2020–2026
Topic question rules and edge cases
- How many topic questions cover this syllabus point?
- 36 question stems cover this subtopic across 36 papers, but only 52 tagged parts and 103 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.