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O-LevelAdditional MathematicsDifferentiation and integrationMay/June 2025Paper 2 Q1011 Marks

A particle P moves in a straight line. t seconds after passing a fixed point, O, the acceleration of P, a m s⁻², is given by a = t²-2 for 0 ≤ t ≤ 4 a = 19-5e^(8-2t) for 4 < t ≤ 10. When t = 3, the velocity of P is 1/3 m s⁻¹ and its displacement from O is -1/4 m.

📋 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 11 marks.

Source

This question appeared in the Cambridge O-Level Additional Mathematics May/June 2025 examination, Paper 2 Variant 1.

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