CIE IAL · Mathematics · 9709 P3 · A Level

9709 P3 Numerical solution of equations Topic Questions

Every 9709 P3 Numerical solution of equations topic question from the 2020–2027 syllabus, drawn from 47 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 P3 3 subtopics 131 topic questions 47 papers 317 tagged marks

Back to Numerical solution of equations All paper codes

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 57 topic questions and 159 marks across 40 papers. locate approximately a root of an equation, by means of… follows with 52 topic questions and 103 marks. The topic contains 3 subtopics, 131 topic questions and 317 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} = 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 40 papers

5744.2%

• locate approximately a root of an equation, by means of graphical considerations and/or searching for a sign change 36 papers

5240.3%

• understand the idea of, and use the notation for, a sequence of approximations which converges to a root of an equation 19 papers

2015.5%

Marks by subtopic

marks

• understand how a given simple iterative formula of the form

x_{n + 1} = 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 40 papers

15949.7%

• locate approximately a root of an equation, by means of graphical considerations and/or searching for a sign change 36 papers

10332.2%

• understand the idea of, and use the notation for, a sequence of approximations which converges to a root of an equation 19 papers

5818.1%

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	52	36	103	2020–2026	Open topic questions
• understand how a given simple iterative formula of the form $x_{n + 1} = F (x_{n})$ 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	57	40	159	2020–2026	Open topic questions
• understand the idea of, and use the notation for, a sequence of approximations which converges to a root of an equation	20	19	58	2020–2026	Open topic questions

Browse every topic question

• locate approximately a root of an equation, by means of graphical considerations and/or searching for a sign change 52 question items · 36 papers 103 marks · 2020–2026 • understand how a given simple iterative formula of the form $x_{n + 1} = F (x_{n})$ 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 57 question items · 40 papers 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 20 question items · 19 papers 58 marks · 2020–2026

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.