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O-LevelAdditional MathematicsDifferentiation and integrationMay/June 2016Paper 2 Q118 Marks

The diagram shows part of the curve y = 3x - x³ and the lines y = 3x and 2y = 27 - 3x. The curve and the line y = 3x meet the x-axis at O and the curve and the line 2y = 27 – 3x meet the x-axis at A. [Figure 11 with the curve, lines, and shaded region]

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 2016 examination, Paper 2 Variant 1.

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