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A-LevelMathematicsCircular measureOct/Nov 2011Paper 1 Q68 Marks

The diagram shows a circle C₁ touching a circle C₂ at a point X. Circle C₁ has centre A and radius 6 cm, and circle C₂ has centre B and radius 10 cm. Points D and E lie on C₁ and C₂ respectively and DE is parallel to AB. Angle DAX = ¹/₃π radians and angle EBX = θ radians.

Q: What topic does this question test?

This question tests Circular measure in A-Level Mathematics (syllabus code 9709). 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 A-Level Mathematics Question

Topic

This structured question tests Circular measure in A-Level Mathematics (syllabus code 9709). It is worth 8 marks.

Source

This question appeared in the Cambridge A-Level Mathematics Oct/Nov 2011 examination, Paper 1 Variant 2.

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