# 9709 P2 Numerical solution of equations Topic Questions

> CIE IAL 9709 P2: every Numerical solution of equations topic question from 49 papers (2020–2026), grouped by syllabus point. 113 questions, 292 marks, with…

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CIE IAL · Mathematics · 9709 P2 · A Level

Every 9709 P2 Numerical solution of equations 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 P2
- 3 subtopics
- 113 topic questions
- 49 papers
- 292 tagged marks
- [Back to Numerical solution of equations](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/numerical-solution-of-equations/)
- [All paper codes](https://www.examsci.com/topics/)

Core finding

**understand how a given simple iterative formula of the form … relates… is the most frequently assessed subtopic in Numerical solution of equations, with 59 topic questions and 164 marks across 38 papers.** understand the idea of, and use the notation for, a… follows with 27 topic questions and 81 marks. The topic contains 3 subtopics, 113 topic questions and 292 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

- [• understand how a given simple iterative formula of the form $x_{n+1}=\mathrm{F}(x_n)$ 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](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/numerical-solution-of-equations/understand-how-a-given-simple-iterative-formula-of-the-form-x-n-1-mathrm-f-x-n/) (38 papers) — 59 · 52.7%
- [• understand the idea of, and use the notation for, a sequence of approximations which converges to a root of an equation](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/numerical-solution-of-equations/understand-the-idea-of-and-use-the-notation-for-a-sequence-of-approximations-which/) (27 papers) — 27 · 24.1%
- [• locate approximately a root of an equation, by means of graphical considerations and/or searching for a sign change](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/numerical-solution-of-equations/locate-approximately-a-root-of-an-equation-by-means-of-graphical-considerations-and/) (21 papers) — 26 · 23.2%

### Marks by subtopic

marks

- [• understand how a given simple iterative formula of the form $x_{n+1}=\mathrm{F}(x_n)$ 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](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/numerical-solution-of-equations/understand-how-a-given-simple-iterative-formula-of-the-form-x-n-1-mathrm-f-x-n/) (38 papers) — 164 · 54.7%
- [• understand the idea of, and use the notation for, a sequence of approximations which converges to a root of an equation](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/numerical-solution-of-equations/understand-the-idea-of-and-use-the-notation-for-a-sequence-of-approximations-which/) (27 papers) — 81 · 27.0%
- [• locate approximately a root of an equation, by means of graphical considerations and/or searching for a sign change](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/numerical-solution-of-equations/locate-approximately-a-root-of-an-equation-by-means-of-graphical-considerations-and/) (21 papers) — 55 · 18.3%

## 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 | |
| --- | --- | --- | --- | --- | --- |
| **[• locate approximately a root of an equation, by means of graphical considerations and/or searching for a sign change](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/numerical-solution-of-equations/locate-approximately-a-root-of-an-equation-by-means-of-graphical-considerations-and/)** | 26 | 21 | 55 | 2020–2026 | [Open topic questions](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/numerical-solution-of-equations/locate-approximately-a-root-of-an-equation-by-means-of-graphical-considerations-and/) |
| **[• understand how a given simple iterative formula of the form $x_{n+1}=\mathrm{F}(x_n)$ 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](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/numerical-solution-of-equations/understand-how-a-given-simple-iterative-formula-of-the-form-x-n-1-mathrm-f-x-n/)** | 59 | 38 | 164 | 2020–2026 | [Open topic questions](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/numerical-solution-of-equations/understand-how-a-given-simple-iterative-formula-of-the-form-x-n-1-mathrm-f-x-n/) |
| **[• understand the idea of, and use the notation for, a sequence of approximations which converges to a root of an equation](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/numerical-solution-of-equations/understand-the-idea-of-and-use-the-notation-for-a-sequence-of-approximations-which/)** | 27 | 27 | 81 | 2020–2026 | [Open topic questions](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/numerical-solution-of-equations/understand-the-idea-of-and-use-the-notation-for-a-sequence-of-approximations-which/) |

## Browse every topic question

- [• locate approximately a root of an equation, by means of graphical considerations and/or searching for a sign change](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/numerical-solution-of-equations/locate-approximately-a-root-of-an-equation-by-means-of-graphical-considerations-and/) — 26 question items · 21 papers — 55 marks · 2020–2026
- [• understand how a given simple iterative formula of the form $x_{n+1}=\mathrm{F}(x_n)$ 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](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/numerical-solution-of-equations/understand-how-a-given-simple-iterative-formula-of-the-form-x-n-1-mathrm-f-x-n/) — 59 question items · 38 papers — 164 marks · 2020–2026
- [• understand the idea of, and use the notation for, a sequence of approximations which converges to a root of an equation](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/numerical-solution-of-equations/understand-the-idea-of-and-use-the-notation-for-a-sequence-of-approximations-which/) — 27 question items · 27 papers — 81 marks · 2020–2026

## Other topics in 9709 P2

- [Algebra 200 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/algebra/)
- [Differentiation 139 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/differentiation/)
- [Integration 120 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/integration/)
- [Logarithmic and exponential functions 125 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/logarithmic-and-exponential-functions/)
- [Trigonometry 165 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/trigonometry/)

## Topic question rules and edge cases

**How many subtopics does Numerical solution of equations contain?**

This page lists 3 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.

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