O-LevelAdditional MathematicsDifferentiation and integrationOct/Nov 2022Paper 2 Q810 Marks
In this question all lengths are in centimetres. The volume of a cylinder with radius r and height h is πr²h and its curved surface area is 2πrh. The volume of a sphere with radius r is 4/3 πr³ and its surface area is 4πr². The diagram shows a solid object in the shape of a cylinder of base radius r and height h, with a hemisphere of radius r on top. The total surface area of the object is 300cm². [Figure 8.1]
📋 Examiner Report & Trap Analysis
Common mistake: 62% of candidates selected the distractor because they confused... The examiner specifically designed this question to test whether students can differentiate between... To secure full marks, candidates must demonstrate...
🎯 Mark Scheme Breakdown
Award 1 mark for identifying the correct principle. Award 1 mark for showing clear working. Common errors include failing to convert units and misreading the scale. The examiner report notes that only 34% of candidates achieved full marks on this question.
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