A-LevelMathematicsCircular measureOct/Nov 2024Paper 1 Q66 Marks
The diagram shows a metal plate OABCDEF consisting of sectors of two circles, each with centre O. The radii of sectors AOB and EOF are r cm and the radius of sector COD is 2r cm. Angle AOB = angle EOF = θ radians and angle COD = 2θ radians. It is given that the perimeter of the plate is 14 cm and the area of the plate is 10 cm². Given that r > 3/2 and θ < 3/4, find the values of r and θ. [Figure X.X]
📋 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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