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O-LevelAdditional MathematicsDifferentiation and integrationMay/June 2018Paper 2 Q129 Marks

In this question all lengths are in metres. A water container is in the shape of a triangular prism. The diagrams show the container and its cross-section. The cross-section of the water in the container is an isosceles triangle ABC, with angle ABC = angle BAC = 30°. The length of AB is x and the depth of water is h. The length of the container is 5. [Figure 12.1]

📋 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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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 9 marks.

Source

This question appeared in the Cambridge O-Level Additional Mathematics May/June 2018 examination, Paper 2 Variant 1.

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