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Practise

Question bank

Original exam-style questions, mapped to your syllabus. Answers are checked for mathematical equivalence and every attempt updates your mastery.

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12 questions

SA-FP-HYP-G011 markL1 FoundationNon-calculatorDefinitions
Find cosh⁡0\cosh0.

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Salam Academy Original Practice · Proposed mark scheme
SA-FP-HYP-Q011 markL1 FoundationNon-calculatorIdentities
Which identity is correct?
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-FP-HYP-X011 markL1 FoundationNon-calculatorDefinitions
Find cosh⁡0\cosh0.

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Salam Academy Original Practice · Proposed mark scheme
SA-FP-HYP-0012 marksL2 StandardNon-calculatorDefinitions
Find the exact value of sinh⁡(ln⁡2)\sinh(\ln2).

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Salam Academy Original Practice · Proposed mark scheme
SA-FP-HYP-0022 marksL2 StandardNon-calculatorIdentities
Given sinh⁡x=34\sinh x=\frac34, find tanh⁡x\tanh x.

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Salam Academy Original Practice · Proposed mark scheme
SA-FP-HYP-0042 marksL2 StandardNon-calculatorInverses and equations
Find the exact value of earsinh⁡(3/4)e^{\operatorname{arsinh}(3/4)}.

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Salam Academy Original Practice · Proposed mark scheme
SA-FP-HYP-X022 marksL2 StandardNon-calculatorDefinitions
Find the exact value of sinh⁡(ln⁡2)\sinh(\ln2).

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Salam Academy Original Practice · Proposed mark scheme
SA-FP-HYP-X032 marksL2 StandardNon-calculatorIdentities
Given sinh⁡x=34\sinh x=\frac34, find cosh⁡x\cosh x.

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Salam Academy Original Practice · Proposed mark scheme
SA-FP-HYP-X042 marksL2 StandardNon-calculatorInverses and equations
Find arsinh⁡34\operatorname{arsinh}\frac34 exactly.

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Salam Academy Original Practice · Proposed mark scheme
SA-FP-HYP-0033 marksL3 ExamCalculatorInverses and equations
Solve cosh⁡x=54\cosh x=\frac54, giving both solutions to 4 s.f.

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Salam Academy Original Practice · Proposed mark scheme
SA-FP-HYP-X053 marksL3 ExamNon-calculatorInverses and equations
Find the positive solution of cosh⁡x=54\cosh x=\frac54, exactly.

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Salam Academy Original Practice · Proposed mark scheme
SA-FP-HYP-0054 marksL4 ChallengingCalculatorInverses and equations
Solve 4cosh⁡x+sinh⁡x=44\cosh x+\sinh x=4. Give both solutions to 4 s.f.

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Salam Academy Original Practice · Proposed mark scheme