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Circle theorems I: CAIE IGCSE Maths questions

Every CAIE IGCSE Maths exam question on 4.7 Circle theorems I, June 2024 and the specimen papers, with its mark scheme and examiner’s report.

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228 questions

  1. Q17

    June 2024 · Paper 1

    2 marks4.1 Geometrical terms4.7 Circle theorems I
    The whole paper ↗
    June 2024 Paper 1, question 17: The diagram shows a circle, centre O. P lies on the circle. P O (a) Write down the mathematical name of the line OP. [1] (b) Draw a tangent to the circle at P.

  2. Q13

    June 2024 · Paper 2

    3 marks4.7 Circle theorems I
    The whole paper ↗
    June 2024 Paper 2, question 13: p° NOT TO SCALE 4m° 5m° (4m + 38)° The diagram shows a cyclic quadrilateral. Find the value of p. p = [3]

  3. Q5

    June 2024 (0980) · Paper 3

    12 marks4.6 Angles4.7 Circle theorems I
    The whole paper ↗
    June 2024 (0980) Paper 3, question 5: (a) NOT TO SCALE x° 125° The diagram shows a pair of parallel lines and a straight line. (i) Write down the mathematical name for the type of angle marked 125°.

  4. Q2

    June 2024 (0980) · Paper 4

    9 marks4.7 Circle theorems I4.6 Angles
    The whole paper ↗
    June 2024 (0980) Paper 4, question 2: (a) 38° NOT TO SCALE a° b° The diagram shows a straight line intersecting two parallel lines. Find the value of a and the value of b. a = b = [2] (b) Calculate

  5. Q17

    Specimen · Paper 2

    5 marks4.7 Circle theorems I4.4 Similarity
    The whole paper ↗
    Specimen Paper 2, question 17: D C NOT TO SCALE 34° X B 74° A The diagram shows a cyclic quadrilateral ABCD. BD and AC intersect at X. (a) Angle BAD = 74° and angle BCA = 34°. Find (i) angle

  6. Q21

    Specimen · Paper 3

    4 marks6.2 Right-angled triangles4.7 Circle theorems I
    The whole paper ↗
    Specimen Paper 3, question 21: NOT TO P SCALE 6.2cm 32° R O Q The diagram shows a circle, centre O, with diameter PQ. R is a point on the circumference. (a) Give a geometrical reason why angl
All 6 questions on Circle theorems I, as a list
  1. June 2024, Paper 1, Q17 (2 marks): The diagram shows a circle, centre O. P lies on the circle. P O (a) Write down the mathematical name of the line OP. [1] (b) Draw a tangent to the circle at P.
  2. June 2024, Paper 2, Q13 (3 marks): p° NOT TO SCALE 4m° 5m° (4m + 38)° The diagram shows a cyclic quadrilateral. Find the value of p. p = [3]
  3. June 2024 (0980), Paper 3, Q5 (12 marks): (a) NOT TO SCALE x° 125° The diagram shows a pair of parallel lines and a straight line. (i) Write down the mathematical name for the type of angle marked 125°.
  4. June 2024 (0980), Paper 4, Q2 (9 marks): (a) 38° NOT TO SCALE a° b° The diagram shows a straight line intersecting two parallel lines. Find the value of a and the value of b. a = b = [2] (b) Calculate
  5. Specimen, Paper 2, Q17 (5 marks): D C NOT TO SCALE 34° X B 74° A The diagram shows a cyclic quadrilateral ABCD. BD and AC intersect at X. (a) Angle BAD = 74° and angle BCA = 34°. Find (i) angle
  6. Specimen, Paper 3, Q21 (4 marks): NOT TO P SCALE 6.2cm 32° R O Q The diagram shows a circle, centre O, with diameter PQ. R is a point on the circumference. (a) Give a geometrical reason why angl

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