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Circles, arcs and sectors: CAIE IGCSE Maths questions

Every CAIE IGCSE Maths exam question on 5.3 Circles, arcs and sectors, June 2024 and the specimen papers, with its mark scheme and examiner’s report.

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228 questions

  1. Q25

    June 2024 · Paper 1

    7 marks5.5 Compound shapes and parts of shapes5.3 Circles, arcs and sectors
    The whole paper ↗
    June 2024 Paper 1, question 25: 12.8cm J L NOT TO SCALE 12.8cm K The diagram shows a shape made from a triangle JKL and a semicircle with diameter JL. JKL is an isosceles right-angled triangle

  2. Q7

    June 2024 · Paper 2

    7 marks5.5 Compound shapes and parts of shapes5.3 Circles, arcs and sectors
    The whole paper ↗
    June 2024 Paper 2, question 7: 12.8cm J L NOT TO SCALE 12.8cm K The diagram shows a shape made from a triangle JKL and a semicircle with diameter JL. JKL is an isosceles right-angled triangle

  3. Q14

    June 2024 · Paper 2

    3 marks5.3 Circles, arcs and sectors
    The whole paper ↗
    June 2024 Paper 2, question 14: NOT TO 48° SCALE 9cm The diagram shows a circle with radius 9 cm. Calculate the area of the shaded major sector. cm2 [3]

  4. Q16

    June 2024 (0980) · Paper 1

    5 marks5.3 Circles, arcs and sectors5.4 Surface area and volume
    The whole paper ↗
    June 2024 (0980) Paper 1, question 16: A circle has an area of 36 cm 2 . r (a) Find the circumference of the circle. Give your answer in terms of r. cm [3] (b) The circle forms the base of a cylinder

  5. Q9

    June 2024 (0980) · Paper 4

    10 marks5.3 Circles, arcs and sectors5.4 Surface area and volume
    The whole paper ↗
    June 2024 (0980) Paper 4, question 9: (a) O NOT TO 60° 10cm SCALE 17cm D C A B OAB is a sector of a circle, centre O, radius 17 cm. OCD is a sector of a circle, centre O, radius 10 cm. OCA and ODB a

  6. Q8

    Specimen · Paper 2

    3 marks5.3 Circles, arcs and sectors5.5 Compound shapes and parts of shapes
    The whole paper ↗
    Specimen Paper 2, question 8: NOT TO SCALE 9cm The diagram shows a semicircle with diameter 9 cm. Calculate the total perimeter of this semicircle. Give your answer in exact form. cm [3]

  7. Q11

    Specimen · Paper 3

    7 marks5.3 Circles, arcs and sectors4.1 Geometrical terms
    The whole paper ↗
    Specimen Paper 3, question 11: X NOT TO R SCALE Y P Q (a) The line XY touches the circle at the point R. Write down the mathematical name for the line XY. [1] (b) Points P and Q lie on the ci
All 7 questions on Circles, arcs and sectors, as a list
  1. June 2024, Paper 1, Q25 (7 marks): 12.8cm J L NOT TO SCALE 12.8cm K The diagram shows a shape made from a triangle JKL and a semicircle with diameter JL. JKL is an isosceles right-angled triangle
  2. June 2024, Paper 2, Q7 (7 marks): 12.8cm J L NOT TO SCALE 12.8cm K The diagram shows a shape made from a triangle JKL and a semicircle with diameter JL. JKL is an isosceles right-angled triangle
  3. June 2024, Paper 2, Q14 (3 marks): NOT TO 48° SCALE 9cm The diagram shows a circle with radius 9 cm. Calculate the area of the shaded major sector. cm2 [3]
  4. June 2024 (0980), Paper 1, Q16 (5 marks): A circle has an area of 36 cm 2 . r (a) Find the circumference of the circle. Give your answer in terms of r. cm [3] (b) The circle forms the base of a cylinder
  5. June 2024 (0980), Paper 4, Q9 (10 marks): (a) O NOT TO 60° 10cm SCALE 17cm D C A B OAB is a sector of a circle, centre O, radius 17 cm. OCD is a sector of a circle, centre O, radius 10 cm. OCA and ODB a
  6. Specimen, Paper 2, Q8 (3 marks): NOT TO SCALE 9cm The diagram shows a semicircle with diameter 9 cm. Calculate the total perimeter of this semicircle. Give your answer in exact form. cm [3]
  7. Specimen, Paper 3, Q11 (7 marks): X NOT TO R SCALE Y P Q (a) The line XY touches the circle at the point R. Write down the mathematical name for the line XY. [1] (b) Points P and Q lie on the ci

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