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O-LevelAdditional MathematicsCircular measureMay/June 2013Paper 1 Q231 Mark

The diagram shows a square ABCD of side 16 cm. M is the mid-point of AB. The points E and F are on AD and BC respectively such that AE = BF = 6 cm. EF is an arc of the circle centre M, such that angle EMF is θ radians. Which of the following is the value of θ, correct to 3 decimal places?

A1.287 radians
B1.571 radians
C1.855 radians
D2.094 radians

✓ Correct Answer

The correct answer is C: 1.855 radians

📋 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 multiple-choice question tests Circular measure in O-Level Additional Mathematics (syllabus code 4037). It is worth 1 mark.

Source

This question appeared in the Cambridge O-Level Additional Mathematics May/June 2013 examination, Paper 1 Variant 1.

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