A Level Further Mathematics 9231, topic 1.5

Polar coordinates: past paper questions

22 Cambridge A Level Further Mathematics 9231 questions on Polar coordinates (1.5) from 22 papers, 2023 to 2026. Open the paper or try a question free.

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Questions: 22
Papers: 22
Years: 2023 to 2026
Total marks: 300
Average per question: 13.6 marks
Largest question: 17 marks

By type: Structured 22

How hard the questions are

Recall0
Apply19
Analyse3
Not banded0

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

sketchApply21 questions
make a simple freehand drawing showing the key features, taking care over proportions
findApply20 questions
show thatApply16 questions
useApply4 questions
deduceAnalyse3 questions
conclude from available information
verifyApply1 question
Confim a given statement/result is true

Where the questions come from

By year

20263
20257
20246
20236

By session

May/June12
Oct/Nov10

By paper

Paper 121
Paper 21

Questions on this topic

Showing 2 of 22, spread across the years. Open one to write your answer and have it marked.

Question 5Oct/Nov 2024, paper 13Structured13 marks
Show that the curve with Cartesian equation $(x^{2} + y^{2})^{2} = 6 x y$ has polar equation $r^{2} = 3 \sin 2 θ$ .
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Question 6Oct/Nov 2023, paper 13Structured15 marks
Show that the curve with Cartesian equation ${(x - \frac{1}{2})}^{2} + y^{2} = \frac{1}{4}$ has polar equation $r = \cos θ$ .
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More in Further Pure Mathematics 1 (for Paper 1)

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