A Level Maths A* Exam Questions
This is Question 8 from the Jun 2011 C4 paper (OCR 4754). It is one of the harder questions on the paper and is included here as part of the A* collection — the questions most likely to discriminate between an A and an A* grade.
This question brings together Connected Rates of Change, Differential Equations and Further Integration. Strong candidates are expected to move fluently between these topics within a single multi-part question, so it is a good test of synoptic understanding.
Below you can view the question paper, the official mark scheme and a fully worked solution. Use the dropdown above the PDF viewer to switch between resources. The question PDF can be downloaded using the link below the viewer; mark schemes and worked solutions are view-only.