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O-LevelAdditional MathematicsVectors in two dimensionsMay/June 2011Paper 2 Q35 Marks

Relative to an origin O, the position vectors of the points A and B are i – 4j and 7i + 20j respectively. The point C lies on AB and is such that AC = (2/3)AB. Find the position vector of C and the magnitude of this vector.

Q: What topic does this question test?

This question tests Vectors in two dimensions in O-Level Additional Mathematics (syllabus code 4037). It is worth 5 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 Vectors in two dimensions in O-Level Additional Mathematics (syllabus code 4037). It is worth 5 marks.

Source

This question appeared in the Cambridge O-Level Additional Mathematics May/June 2011 examination, Paper 2 Variant 1.

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