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Arcs and sectors: Edexcel GCSE Maths questions

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

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  1. Q11

    November 2024 · Paper 3H

    The whole paper ↗
    November 2024 Paper 3H, question 11: OAB is a sector of a circle with centre O and radius 4.7 m. A 4.7 m B O The sector has a perimeter of 34.3 m. Find the size of the reflex angle AOB. Give your a
  2. Q15

    June 2024 · Paper 1H

    The whole paper ↗
    June 2024 Paper 1H, question 15: OAB is a sector of a circle with centre O and radius 6 cm. A B 6 cm 6 cm O The length of the arc AB is 5π cm. Work out, in terms of π, the area of the sector. G
  3. Q12

    November 2023 · Paper 3H

    The whole paper ↗
    November 2023 Paper 3H, question 12: The diagram shows a shaded sector POQ of a circle with centre O and radius 6.2 cm. x O 6.2 cm P Q The area of the shaded sector is 82.6 cm2 Calculate the size o
  4. Q14

    June 2023 · Paper 3H

    The whole paper ↗
    June 2023 Paper 3H, question 14: OAB is a triangle. OBC is a sector of a circle, centre O. B 9 cm 80° 35° O C 6 cm A Calculate the area of OBC. Give your answer correct to 3 significant figures
  5. Q15

    November 2022 · Paper 1H

    The whole paper ↗
    November 2022 Paper 1H, question 15: The diagram shows a sector of a circle of radius 18 cm. 18 cm 18 cm x° The length of the arc is 4π cm. Work out the value of x. x =
  6. Q21

    June 2022 · Paper 1H

    The whole paper ↗
    June 2022 Paper 1H, question 21: The diagram shows three circles, each of radius 4 cm. The centres of the circles are A, B and C such that ABC is a straight line and AB = BC = 4 cm. A B C Work
  7. Q7

    November 2021 · Paper 3H

    The whole paper ↗
    November 2021 Paper 3H, question 7: The diagram shows a sector OPQR of a circle, centre O and radius 8 cm. 8 cm O P 8 cm Q R OPR is a triangle. Work out the area of the shaded segment PQR. Give yo
  8. Q22

    November 2020 · Paper 1H

    The whole paper ↗
    November 2020 Paper 1H, question 22: The diagram shows two shaded shapes, A and B. Shape A is formed by removing a sector of a circle with radius (3x – 1) cm from a sector of the circle with radius
  9. Q23

    November 2019 · Paper 3H

    The whole paper ↗
    November 2019 Paper 3H, question 23: The diagram shows a sector OACB of a circle with centre O. The point C is the midpoint of the arc AB. Volume of cone = 2h The diagram also shows a hollow cone w
  10. Q12

    June 2019 · Paper 2H

    The whole paper ↗
    June 2019 Paper 2H, question 12: OAB is a sector of a circle with centre O and radius 7 cm. A 7 cm B 7 cm O The area of the sector is 40 cm2 Calculate the perimeter of the sector. Give your ans
  11. Q16

    November 2018 · Paper 3H

    The whole paper ↗
    November 2018 Paper 3H, question 16: Here is a shaded shape ABCD. B D C O A The shape is made from a triangle and a sector of a circle, centre O and radius 6 cm. OCD is a straight line. AD = 14 cm
  12. Q20

    November 2017 · Paper 2H

    The whole paper ↗
    November 2017 Paper 2H, question 20: B A C P ƒ O OACLVDVHFWRURIDFLUFOHFHQWUHOUDGLXV P BALVWKHWDQJHQWWRWKHFLUFOHDWSRLQWA. BCLVWKHWDQJHQWWRWKHFLUFOHDWSRLQWC. 
  13. Q17

    June 2017 · Paper 2H

    The whole paper ↗
    June 2017 Paper 2H, question 17: N A Q B O ONQ is a sector of a circle with centre O and radius 11 cm. A is the point on ON and B is the point on OQ such that AOB is an equilateral triangle of
  14. Q18

    June 2017 · Paper 3H

    The whole paper ↗
    June 2017 Paper 3H, question 18: A 5 cm B O D 5 cm C A, B and C are points on a circle of radius 5 cm, centre O. DA and DC are tangents to the circle. DO = 9 cm Work out the length of arc ABC.
All 14 questions on Arcs and sectors, as a list
  1. November 2024, Paper 3H, Q11 (3 marks): OAB is a sector of a circle with centre O and radius 4.7 m. A 4.7 m B O The sector has a perimeter of 34.3 m. Find the size of the reflex angle AOB. Give your a
  2. June 2024, Paper 1H, Q15 (4 marks): OAB is a sector of a circle with centre O and radius 6 cm. A B 6 cm 6 cm O The length of the arc AB is 5π cm. Work out, in terms of π, the area of the sector. G
  3. November 2023, Paper 3H, Q12 (2 marks): The diagram shows a shaded sector POQ of a circle with centre O and radius 6.2 cm. x O 6.2 cm P Q The area of the shaded sector is 82.6 cm2 Calculate the size o
  4. June 2023, Paper 3H, Q14 (4 marks): OAB is a triangle. OBC is a sector of a circle, centre O. B 9 cm 80° 35° O C 6 cm A Calculate the area of OBC. Give your answer correct to 3 significant figures
  5. November 2022, Paper 1H, Q15 (3 marks): The diagram shows a sector of a circle of radius 18 cm. 18 cm 18 cm x° The length of the arc is 4π cm. Work out the value of x. x =
  6. June 2022, Paper 1H, Q21 (5 marks): The diagram shows three circles, each of radius 4 cm. The centres of the circles are A, B and C such that ABC is a straight line and AB = BC = 4 cm. A B C Work
  7. November 2021, Paper 3H, Q7 (4 marks): The diagram shows a sector OPQR of a circle, centre O and radius 8 cm. 8 cm O P 8 cm Q R OPR is a triangle. Work out the area of the shaded segment PQR. Give yo
  8. November 2020, Paper 1H, Q22 (5 marks): The diagram shows two shaded shapes, A and B. Shape A is formed by removing a sector of a circle with radius (3x – 1) cm from a sector of the circle with radius
  9. November 2019, Paper 3H, Q23 (5 marks): The diagram shows a sector OACB of a circle with centre O. The point C is the midpoint of the arc AB. Volume of cone = 2h The diagram also shows a hollow cone w
  10. June 2019, Paper 2H, Q12 (4 marks): OAB is a sector of a circle with centre O and radius 7 cm. A 7 cm B 7 cm O The area of the sector is 40 cm2 Calculate the perimeter of the sector. Give your ans
  11. November 2018, Paper 3H, Q16 (5 marks): Here is a shaded shape ABCD. B D C O A The shape is made from a triangle and a sector of a circle, centre O and radius 6 cm. OCD is a straight line. AD = 14 cm
  12. November 2017, Paper 2H, Q20 (5 marks): B A C P ƒ O OACLVDVHFWRURIDFLUFOHFHQWUHOUDGLXV P BALVWKHWDQJHQWWRWKHFLUFOHDWSRLQWA. BCLVWKHWDQJHQWWRWKHFLUFOHDWSRLQWC. 
  13. June 2017, Paper 2H, Q17 (5 marks): N A Q B O ONQ is a sector of a circle with centre O and radius 11 cm. A is the point on ON and B is the point on OQ such that AOB is an equilateral triangle of
  14. June 2017, Paper 3H, Q18 (5 marks): A 5 cm B O D 5 cm C A, B and C are points on a circle of radius 5 cm, centre O. DA and DC are tangents to the circle. DO = 9 cm Work out the length of arc ABC.

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