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Arcs and sectors: AQA GCSE Maths questions

Every AQA GCSE Maths exam question on G18 Arcs and sectors, 2017–2025, with its mark scheme and examiner’s report.

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1,304 questions

  1. Q8

    June 2025 · Paper 2H

    The whole paper ↗
    June 2025 Paper 2H, question 8: Here is a circle, centre O. Not drawn accurately 8 (a) The circle has a circumference of 20 cm Assume that angle x is 90° Work out the shaded area. Give your an
  2. Q12

    June 2024 · Paper 1H

    The whole paper ↗
    June 2024 Paper 1H, question 12: A sector has radius 12 cm and angle 60° Work out the length of the arc. Give your answer in terms of π Not drawn accurately Answer cm
  3. Q10

    November 2023 · Paper 1H

    The whole paper ↗
    November 2023 Paper 1H, question 10: Shape A is a circle with radius 2 17 cm Shape B is a sector of a circle with radius 5cm Not drawn accurately Which shape has the greater area, A or B? You must
  4. Q11

    June 2022 · Paper 1H

    The whole paper ↗
    June 2022 Paper 1H, question 11: Here are two shapes, P and Q. Not drawn accurately How many times bigger is the area of P than the area of Q? You must show your working. Answer
  5. Q12

    November 2020 · Paper 1H

    The whole paper ↗
    November 2020 Paper 1H, question 12: Two wire shapes make an earring. The shapes are a circle with radius 21 mm and a quarter circle. Not drawn accurately radius of circle : radius of quarter circl
  6. Q26

    November 2019 · Paper 1H

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    November 2019 Paper 1H, question 26: Here are a circle and a sector of the circle. They each have radius r. Not drawn accurately circumference of circle = perimeter of sector Work out the size of a
  7. Q3

    June 2019 · Paper 1H

    The whole paper ↗
    June 2019 Paper 1H, question 3: Work out the arc length, in metres, of a semicircle of radius 6 metres. Circle your answer. 3π 6π 12π 18π
  8. Q16

    June 2019 · Paper 3H

    The whole paper ↗
    June 2019 Paper 3H, question 16: Here are two sectors from different circles. Which sector has the bigger area? Tick a box. Sector A Sector B Show working to support your answer. Not drawn accu
  9. Q22

    November 2017 · Paper 2H

    The whole paper ↗
    November 2017 Paper 2H, question 22: The cross section of an earring is a semicircle, centre C, radius 25 mm The earring is black and white. The shaded area is black. Not drawn accurately Sector BC
  10. Q25

    June 2017 · Paper 2H

    The whole paper ↗
    June 2017 Paper 2H, question 25: The diagram shows a logo. ABE and DCE are congruent triangles. BCE is a sector of a circle, centre E. Not drawn accurately Show that the area of the logo is 510
All 10 questions on Arcs and sectors, as a list
  1. June 2025, Paper 2H, Q8 (4 marks): Here is a circle, centre O. Not drawn accurately 8 (a) The circle has a circumference of 20 cm Assume that angle x is 90° Work out the shaded area. Give your an
  2. June 2024, Paper 1H, Q12 (3 marks): A sector has radius 12 cm and angle 60° Work out the length of the arc. Give your answer in terms of π Not drawn accurately Answer cm
  3. November 2023, Paper 1H, Q10 (5 marks): Shape A is a circle with radius 2 17 cm Shape B is a sector of a circle with radius 5cm Not drawn accurately Which shape has the greater area, A or B? You must
  4. June 2022, Paper 1H, Q11 (4 marks): Here are two shapes, P and Q. Not drawn accurately How many times bigger is the area of P than the area of Q? You must show your working. Answer
  5. November 2020, Paper 1H, Q12 (5 marks): Two wire shapes make an earring. The shapes are a circle with radius 21 mm and a quarter circle. Not drawn accurately radius of circle : radius of quarter circl
  6. November 2019, Paper 1H, Q26 (4 marks): Here are a circle and a sector of the circle. They each have radius r. Not drawn accurately circumference of circle = perimeter of sector Work out the size of a
  7. June 2019, Paper 1H, Q3 (1 mark): Work out the arc length, in metres, of a semicircle of radius 6 metres. Circle your answer. 3π 6π 12π 18π
  8. June 2019, Paper 3H, Q16 (2 marks): Here are two sectors from different circles. Which sector has the bigger area? Tick a box. Sector A Sector B Show working to support your answer. Not drawn accu
  9. November 2017, Paper 2H, Q22 (5 marks): The cross section of an earring is a semicircle, centre C, radius 25 mm The earring is black and white. The shaded area is black. Not drawn accurately Sector BC
  10. June 2017, Paper 2H, Q25 (5 marks): The diagram shows a logo. ABE and DCE are congruent triangles. BCE is a sector of a circle, centre E. Not drawn accurately Show that the area of the logo is 510

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