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O-LevelMathematicsGeometry4024/11 · Oct/Nov 2014 · Q93 Marks

The diagram shows a circle, centre O, with radius 6 cm. Tangents are drawn from T to touch the circle at A and B. OXT is a straight line intersecting the circle at X with XT = 4 cm. Calculate AT.

  1. Calculate AT.[3]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2014). The mark or mark type is shown in brackets.

  1. [3] 8 WWW
  2. M1 for a recognisable attempt at Pythagoras' Theorem with sides 10 and 6.
  3. M1 for (AT² =) 10² – 6² oe

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About this question

Topic
Geometry, O-Level Mathematics (syllabus 4024). Structured question, 3 marks.
Source
O-Level Mathematics, Oct/Nov 2014 Paper 1 Variant 1, question 9.

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