A Level Further Mathematics 9231, topic 2.1

Hyperbolic functions: past paper questions

37 Cambridge A Level Further Mathematics 9231 questions on Hyperbolic functions (2.1) from 21 papers, 2023 to 2026. Open the paper or try a question free.

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Questions: 37
Papers: 21
Years: 2023 to 2026
Total marks: 372
Average per question: 10.1 marks
Largest question: 15 marks

By type: Structured 37

How hard the questions are

Recall0
Apply25
Analyse12
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

findApply28 questions
show thatApply23 questions
proveAnalyse10 questions
confirm the truth of the given statement using a chain of logical mathematical reasoning
useApply7 questions
deduceAnalyse2 questions
conclude from available information

Where the questions come from

By year

20265
202511
202410
202311

By session

May/June22
Oct/Nov15

By paper

Paper 237

Questions on this topic

Showing 2 of 37, spread across the years. Open one to write your answer and have it marked.

Question 1Oct/Nov 2024, paper 22Structured4 marks
Find the value of $\int_{6}^{7} \frac{1}{\sqrt{(x - 5)^{2} - 1}} d x$ , giving your answer in the form $\ln (a + \sqrt{b})$ , where $a$ and $b$ are integers to be determined.
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Question 7May/June 2023, paper 21Structured11 marksHas a diagram
Use the substitution $u = x^{2} - 1$ to find $\int \frac{x}{\sqrt{x^{2} - 1}} d x$ .
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