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O-LevelMathematicsGeometry4024/22 · May/June 2025 · Q143 Marks

PQRS is a cyclic quadrilateral. APB is a tangent to the circle at P. Angle SPB = 37° and angle PSQ = 85°. [Figure showing a circle with cyclic quadrilateral PQRS and tangent APB]

  1. (a)Find angle PQS.[1]
  2. (b)Find angle QRS.[2]

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Mark scheme

Marking points from the official mark scheme (May/June 2025). The mark or mark type is shown in brackets.

  1. [1] 37
  2. [2] B1 for ∠QPS = 58 or M1 for [∠QRS = ] 180 – (their ∠QPS)

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About this question

Topic
Geometry, O-Level Mathematics (syllabus 4024). Structured question, 3 marks.
Source
O-Level Mathematics, May/June 2025 Paper 2 Variant 2, question 14.

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