CIE IAL · Mathematics · 9709 P1 · A Level

9709 P1 Coordinate geometry Topic Questions

Every 9709 P1 Coordinate geometry 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 P1 5 subtopics 186 topic questions 49 papers 676 tagged marks

Back to Coordinate geometry All paper codes

Core finding

use algebraic methods to solve problems involving lines and circles is the most frequently assessed subtopic in Coordinate geometry, with 95 topic questions and 386 marks across 44 papers. understand that the equation … represents the circle with… follows with 56 topic questions and 208 marks. The topic contains 5 subtopics, 186 topic questions and 676 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

• use algebraic methods to solve problems involving lines and circles 44 papers

9536.5%

• understand that the equation

(x - a)^{2} + (y - b)^{2} = r^{2}

represents the circle with centre

(a, b)

and radius

r

41 papers

5621.5%

• find the equation of a straight line given sufficient information 35 papers

5119.6%

• understand the relationship between a graph and its associated algebraic equation, and use the relationship between points of intersection of graphs and solutions of equations 24 papers

3915.0%

• interpret and use any of the forms

y = m x + c

y - y_{1} = m (x - x_{1})

a x + b y + c = 0

in solving problems 15 papers

197.3%

Marks by subtopic

marks

• use algebraic methods to solve problems involving lines and circles 44 papers

38638.0%

• find the equation of a straight line given sufficient information 35 papers

20920.6%

• understand that the equation

(x - a)^{2} + (y - b)^{2} = r^{2}

represents the circle with centre

(a, b)

and radius

r

41 papers

20820.5%

• understand the relationship between a graph and its associated algebraic equation, and use the relationship between points of intersection of graphs and solutions of equations 24 papers

13513.3%

• interpret and use any of the forms

y = m x + c

y - y_{1} = m (x - x_{1})

a x + b y + c = 0

in solving problems 15 papers

787.7%

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
• find the equation of a straight line given sufficient information	51	35	209	2020–2026	Open topic questions
• interpret and use any of the forms $y = m x + c$ , $y - y_{1} = m (x - x_{1})$ , $a x + b y + c = 0$ in solving problems	19	15	78	2020–2026	Open topic questions
• understand that the equation $(x - a)^{2} + (y - b)^{2} = r^{2}$ represents the circle with centre $(a, b)$ and radius $r$	56	41	208	2020–2026	Open topic questions
• understand the relationship between a graph and its associated algebraic equation, and use the relationship between points of intersection of graphs and solutions of equations	39	24	135	2020–2026	Open topic questions
• use algebraic methods to solve problems involving lines and circles	95	44	386	2020–2026	Open topic questions

Browse every topic question

• find the equation of a straight line given sufficient information 51 question items · 35 papers 209 marks · 2020–2026 • interpret and use any of the forms $y = m x + c$ , $y - y_{1} = m (x - x_{1})$ , $a x + b y + c = 0$ in solving problems 19 question items · 15 papers 78 marks · 2020–2026 • understand that the equation $(x - a)^{2} + (y - b)^{2} = r^{2}$ represents the circle with centre $(a, b)$ and radius $r$ 56 question items · 41 papers 208 marks · 2020–2026 • understand the relationship between a graph and its associated algebraic equation, and use the relationship between points of intersection of graphs and solutions of equations 39 question items · 24 papers 135 marks · 2020–2026 • use algebraic methods to solve problems involving lines and circles 95 question items · 44 papers 386 marks · 2020–2026

Topic question rules and edge cases

How many subtopics does Coordinate geometry contain?: This page lists 5 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.