O Level Mathematics 4024, topic 7.2

Vectors in two dimensions: past paper questions

10 Cambridge O Level Mathematics 4024 questions on Vectors in two dimensions (7.2) from 10 papers, 2023 to 2026. Open the paper or try a question free.

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Questions: 10
Papers: 10
Years: 2023 to 2026
Total marks: 65
Average per question: 6.5 marks
Largest question: 10 marks

By type: Structured 10

How hard the questions are

Recall0
Apply9
Analyse0
Not banded1

Derived from the command word Cambridge prints in each question, banded by a fixed table beside the syllabus's own definitions. A question printing no command word is unbanded: unknown, not middling.

Command words

findApply8 questions
describeApply1 question
state the points of a topic / give characteristics and main features
drawApply1 question
listRecall1 question
show thatApply1 question
work outApply1 question
calculate from given facts, figures or information with or without the use of a calculator
writeRecall1 question
give an answer in a specific form

Where the questions come from

By year

20262
20255
20242
20231

By session

May/June3
Oct/Nov7

By paper

Paper 15
Paper 25

Questions on this topic

Showing 5 of 10, spread across the years. Open one to write your answer and have it marked.

Question 20May/June 2026, paper 12Structured5 marksHas a diagram
$O P Q$ is a triangle and $O$ is the origin. $R$ is a point on $O Q$ and $O Q = 3 O R$ . $\vec{O P} = 3 a$ and $\vec{O R} = 2 b$ .
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Question 26Oct/Nov 2025, paper 11Structured7 marksHas a diagram
The diagram shows triangle $O A B$ . $\vec{O A} = a$ and $\vec{O B} = 4 b$ . $T$ is a point on $A B$ such that $A T : T B = 3 : 2$ .
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Question 7Oct/Nov 2023, paper 22Structured10 marksHas a diagram
Point $A$ and point $B$ are shown on a centimetre square grid. $A B C$ is a triangle. Here are five possible coordinates for point $C$ .
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Question 21Oct/Nov 2025, paper 12Structured5 marksHas a diagram
$O P Q R$ is a parallelogram. $\vec{O P} = a$ and $\vec{O R} = 2 b$ . $M$ is the midpoint of $Q R$ .
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Question 7Oct/Nov 2024, paper 21Structured10 marks
$A B C D$ is a parallelogram with sides $A B$ , $B C$ , $C D$ and $D A$ . $A$ is the point $(- 3, 7)$ and $B$ is the point $(2, 5)$ . $\vec{A D} = (\begin{array}{c} - 1 \\ - 6 \end{array})$ Find the coordinates of point $D$ .
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