CIE IAL · Mathematics · 9709 P2 · Numerical solution of equations
Topic Questions: • understand the idea of, and use the notation for, a sequence of approximations which converges to a root of an equation — 9709 P2 Numerical solution of equations
27 9709 P2 Numerical solution of equations topic questions are tagged to this syllabus point across 27 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 27 9709 P2 papers across 2020–2026, contributing 27 topic questions and 81 marks. The most recent appearance is 9709/21 May/June 2026. That equals 23.9% of the 113 topic questions and 27.7% of the 292 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 |
|---|---|---|---|---|---|---|
| 9709/21May/June 2026 · CIE IAL | Q5 Polynomial Division and Numerical Iteration - CIE A Level Maths 2026 Jun Paper 21 Q5 |
FRQ | 1 of 4 parts ((d)) | 3 of 10 on the paper |
Easy | Go to Practice Hub |
| 9709/22May/June 2026 · CIE IAL | Q6 Quartic Polynomial and Iterative Sequence - CIE Pure Mathematics 2026 Jun Paper 22 Q6 |
FRQ | 1 of 3 parts ((c)) | 3 of 8 on the paper |
Easy | Go to Practice Hub |
| 9709/23May/June 2026 · CIE IAL | Q6 Factor Theorem and Numerical Solution of Quartic - CIE Pure Mathematics 2026 Jun Paper 23 Q6 |
FRQ | 1 of 3 parts ((c)) | 3 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/25May/June 2026 · CIE IAL | Q6 Quartic Polynomial Factor and Iteration - CIE 9709 Pure Mathematics 2026 Jun Paper 25 Q6 |
FRQ | 1 of 3 parts ((c)) | 3 of 8 on the paper |
Easy | Go to Practice Hub |
| 9709/22March 2026 · CIE IAL | Q7 Exponential Definite Integral and Iterative Method - CIE 9709 P22 2026 Q7 |
FRQ | 1 of 3 parts ((c)) | 3 of 10 on the paper |
Hard | Go to Practice Hub |
| 9709/22October/November 2025 · CIE IAL | Q6 Definite Integral and Numerical Solution of Exponential Equation - CIE Pure Mathematics 2025 Paper 22 Q6 |
FRQ | 1 of 3 parts ((c)) | 3 of 9 on the paper |
Easy | Go to Practice Hub |
| 9709/23October/November 2025 · CIE IAL | Q7 Polynomial Factors and Numerical Iteration - CIE P2 2025 Q7 |
FRQ | 1 of 4 parts ((d)) | 3 of 11 on the paper |
Easy | Go to Practice Hub |
| 9709/25October/November 2025 · CIE IAL | Q7 Polynomial Factorization and Iterative Root Finding - CIE 9709 Pure Mathematics 2025 Nov Paper 25 Q7 |
FRQ | 1 of 4 parts ((d)) | 3 of 11 on the paper |
Easy | Go to Practice Hub |
| 9709/21May/June 2025 · CIE IAL | Q3 Intersection of Exponential and Secant Curves - CIE A-Level Maths 2025 Jun Paper 21 Q3 |
FRQ | 1 of 3 parts ((c)) | 3 of 7 on the paper |
Medium | Go to Practice Hub |
| 9709/25May/June 2025 · CIE IAL | Q4 Intersection of Exponential and Sine Curves - CIE Pure Maths 2025 Jun P25 Q4 |
FRQ | 1 of 3 parts ((b)) | 3 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/22March 2025 · CIE IAL | Q5 Iterative Method and Sign Change - CIE A-Level Maths 2025 Mar Paper 22 Q5 |
FRQ | 1 of 4 parts ((c)) | 3 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/21May/June 2024 · CIE IAL | Q5 Stationary Point Iteration - CIE 9709 2024 Jun Paper 21 Q5 |
FRQ | 1 of 3 parts ((c)) | 3 of 9 on the paper |
Medium | Go to Practice Hub |
| 9709/23May/June 2024 · CIE IAL | Q6 Stationary Point and Iteration - CIE Pure Mathematics 2024 Jun Paper 23 Q6 |
FRQ | 1 of 4 parts ((d)) | 3 of 9 on the paper |
Easy | Go to Practice Hub |
| 9709/22March 2024 · CIE IAL | Q5 Quotient Rule Differentiation and Iterative Method - CIE 9709 March 2024 Paper 22 Q5 |
FRQ | 1 of 3 parts ((c)) | 3 of 9 on the paper |
Easy | Go to Practice Hub |
| 9709/21October/November 2023 · CIE IAL | Q7 Implicit Differentiation and Numerical Root Finding - A-Level Mathematics |
FRQ | 1 of 4 parts ((d)) | 3 of 11 on the paper |
Easy | Go to Practice Hub |
| 9709/22October/November 2023 · CIE IAL | Q6 Parametric Differentiation and Iteration - CIE 9709 W23 QP 22 Q6 |
FRQ | 1 of 3 parts ((c)) | 3 of 10 on the paper |
Medium | Go to Practice Hub |
| 9709/23October/November 2023 · CIE IAL | Q7 | FRQ | 1 of 4 parts ((d)) | 3 of 11 on the paper |
Medium | Go to Practice Hub |
| 9709/21May/June 2023 · CIE IAL | Q3 Definite Integral and Iteration - CIE A-Level Mathematics 2023 Jun Paper 21 Q3 |
FRQ | 1 of 2 parts ((b)) | 3 of 7 on the paper |
Medium | Go to Practice Hub |
| 9709/22May/June 2023 · CIE IAL | Q4 Absolute Value Graph and Iterative Method - CIE Pure Mathematics 2023 May Paper 22 Q4 |
FRQ | 1 of 3 parts ((c)) | 3 of 7 on the paper |
Easy | Go to Practice Hub |
| 9709/22March 2023 · CIE IAL | Q5 Logarithmic Integration and Iterative Formula - CIE Pure Maths 2 2023 Mar Paper 22 Q5 |
FRQ | 1 of 2 parts ((b)) | 3 of 8 on the paper |
Hard | Go to Practice Hub |
| 9709/21May/June 2022 · CIE IAL | Q5 Numerical Solution of Modulus Equation - CIE A Level Mathematics 2022 May Paper 21 Q5 |
FRQ | 1 of 4 parts ((d)) | 3 of 9 on the paper |
Easy | Go to Practice Hub |
| 9709/21May/June 2021 · CIE IAL | Q5 Differentiation and Numerical Solution of Equations - CIE 9709 P21 2021 Jun Q5 |
FRQ | 1 of 3 parts ((c)) | 3 of 8 on the paper |
Easy | Go to Practice Hub |
| 9709/22May/June 2021 · CIE IAL | Q7 Parametric Equations Iteration and Gradient - CIE Math 2021 Jun Paper 22 Q7 |
FRQ | 1 of 4 parts ((c)) | 3 of 11 on the paper |
Easy | Go to Practice Hub |
| 9709/22March 2021 · CIE IAL | Q5 Logarithmic Equation and Numerical Root Finding - CIE 9709 March 2021 Paper 22 Q5 |
FRQ | 1 of 3 parts ((c)) | 3 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/22October/November 2020 · CIE IAL | Q7 Quartic Polynomial, Factor Theorem, and Iterative Approximation - CIE A-Level Pure Mathematics 2020 Nov Paper 22 Q7 |
FRQ | 1 of 3 parts ((c)) | 3 of 10 on the paper |
Easy | Go to Practice Hub |
| 9709/21May/June 2020 · CIE IAL | Q5 Numerical Solution for Stationary Point - CIE 9709 2020 Jun Paper 21 Q5 |
FRQ | 1 of 3 parts ((c)) | 3 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/22March 2020 · CIE IAL | Q6 Numerical Solution of Gradient Equation - CIE 9709 March 2020 Paper 22 Q6 |
FRQ | 1 of 3 parts ((c)) | 3 of 9 on the paper |
Easy | Go to Practice Hub |
Related topic questions in Numerical solution of equations
• locate approximately a root of an equation, by means of graphical considerations and/or searching for a sign change
55 marks · 2020–2026
• 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
164 marks · 2020–2026
Topic question rules and edge cases
- How many topic questions cover this syllabus point?
- 27 question stems cover this subtopic across 27 papers, but only 27 tagged parts and 81 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.