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A-Level MathematicsYear 2021Q12

12355 12 Water leaks out of a small hole in the bottom of a paddling pool. The rate at which the water leaves the pool is proportional to the square root of the volume of water that remains in the pool. The initial volume of water is V0 If  5 9 of the initial volume leaks out in the first hour, find how long it takes for the pool to empty. [10] 12355 THIS IS THE END OF THE QUESTION PAPER 12355 BLANK PAGE DO NOT WRITE ON THIS PAGE 12355 BLANK PAGE DO NOT WRITE ON THIS PAGE Permission to reproduce all copyright material has been applied for. In some cases, efforts to contact copyright holders may have been unsuccessful and CCEA will be happy to rectify any omissions of acknowledgement in future if notified. Examiner Number DO NOT WRITE ON THIS PAGE 12355/7 For Examiner’s use only Question Number Marks 1 2 3 4 5 6 7 8 9 10 11 12 Total Marks

Mathematics A-Level Diagram
Paper Source:GCE-Mathematics -502-Summer2021-A2 1%2C Pure Mathematics-Paper.pdf

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Exam Specification Info

This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.

Syllabus levelAdvanced Level (A-Level)
SubjectMathematics
Official MarksVariable (2–6 marks)