CIE IAL · Mathematics · 9709 P3 · A Level

9709 P3 Vectors Topic Questions

Every 9709 P3 Vectors 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 P3 6 subtopics 133 topic questions 49 papers 470 tagged marks

Back to Vectors All paper codes

Core finding

use formulae to calculate the scalar product of two vectors, and use… is the most frequently assessed subtopic in Vectors, with 53 topic questions and 207 marks across 37 papers. understand the significance of all the symbols used when… follows with 27 topic questions and 81 marks. The topic contains 6 subtopics, 133 topic questions and 470 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 formulae to calculate the scalar product of two vectors, and use scalar products in problems involving lines and points 37 papers

5337.3%

• understand the significance of all the symbols used when the equation of a straight line is expressed in the form

r = a + t b

, and find the equation of a line, given sufficient information 26 papers

2719.0%

• calculate the magnitude of a vector, and use unit vectors, displacement vectors and position vectors 19 papers

2517.6%

• determine whether two lines are parallel, intersect or are skew, and find the point of intersection of two lines when it exists 21 papers

2215.5%

• carry out addition and subtraction of vectors and multiplication of a vector by a scalar, and interpret these operations in geometrical terms 12 papers

128.5%

• use standard notations for vectors, i.e.

(x y)

x i + y j

x y z

x i + y j + z k

A B

a

3 papers

32.1%

Marks by subtopic

marks

• use formulae to calculate the scalar product of two vectors, and use scalar products in problems involving lines and points 37 papers

20740.4%

• calculate the magnitude of a vector, and use unit vectors, displacement vectors and position vectors 19 papers

9017.5%

• determine whether two lines are parallel, intersect or are skew, and find the point of intersection of two lines when it exists 21 papers

8917.3%

• understand the significance of all the symbols used when the equation of a straight line is expressed in the form

r = a + t b

, and find the equation of a line, given sufficient information 26 papers

8115.8%

• carry out addition and subtraction of vectors and multiplication of a vector by a scalar, and interpret these operations in geometrical terms 12 papers

356.8%

• use standard notations for vectors, i.e.

(x y)

x i + y j

x y z

x i + y j + z k

A B

a

3 papers

112.1%

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
• calculate the magnitude of a vector, and use unit vectors, displacement vectors and position vectors	25	19	90	2020–2026	Open topic questions
• carry out addition and subtraction of vectors and multiplication of a vector by a scalar, and interpret these operations in geometrical terms	12	12	35	2020–2025	Open topic questions
• determine whether two lines are parallel, intersect or are skew, and find the point of intersection of two lines when it exists	22	21	89	2020–2026	Open topic questions
• understand the significance of all the symbols used when the equation of a straight line is expressed in the form $r = a + t b$ , and find the equation of a line, given sufficient information	27	26	81	2020–2026	Open topic questions
• use formulae to calculate the scalar product of two vectors, and use scalar products in problems involving lines and points	53	37	207	2020–2026	Open topic questions
• use standard notations for vectors, i.e. $(x y)$ , $x i + y j$ , $x y z$ , $x i + y j + z k$ , $A B$ , $a$	3	3	11	2020–2022	Open topic questions

Browse every topic question

• calculate the magnitude of a vector, and use unit vectors, displacement vectors and position vectors 25 question items · 19 papers 90 marks · 2020–2026 • carry out addition and subtraction of vectors and multiplication of a vector by a scalar, and interpret these operations in geometrical terms 12 question items · 12 papers 35 marks · 2020–2025 • determine whether two lines are parallel, intersect or are skew, and find the point of intersection of two lines when it exists 22 question items · 21 papers 89 marks · 2020–2026 • understand the significance of all the symbols used when the equation of a straight line is expressed in the form $r = a + t b$ , and find the equation of a line, given sufficient information 27 question items · 26 papers 81 marks · 2020–2026 • use formulae to calculate the scalar product of two vectors, and use scalar products in problems involving lines and points 53 question items · 37 papers 207 marks · 2020–2026 • use standard notations for vectors, i.e. $(x y)$ , $x i + y j$ , $x y z$ , $x i + y j + z k$ , $A B$ , $a$ 3 question items · 3 papers 11 marks · 2020–2022

Topic question rules and edge cases

How many subtopics does Vectors contain?: This page lists 6 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.