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O-LevelAdditional MathematicsDifferentiation and integrationMay/June 2021Paper 2 Q118 Marks

In this question all lengths are in centimetres. The volume and surface area of a sphere of radius r are (4/3)πr³ and 4πr² respectively. [Figure 11.1] The diagram shows a solid object made from a hemisphere of radius x and a cylinder of radius x and height y. The volume of the object is 500 cm³.

Q: What topic does this question test?

This question tests Differentiation and integration in O-Level Additional Mathematics (syllabus code 4037). It is worth 8 marks.

📋 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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About This O-Level Additional Mathematics Question

Topic

This structured question tests Differentiation and integration in O-Level Additional Mathematics (syllabus code 4037). It is worth 8 marks.

Source

This question appeared in the Cambridge O-Level Additional Mathematics May/June 2021 examination, Paper 2 Variant 2.

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