Skip to content

Sine and cosine rules: Edexcel GCSE Maths questions

Every Edexcel GCSE Maths exam question on G22 Sine and cosine rules, 2017–2025, with its mark scheme and examiner’s report.

Find questions997
Exam
All years
Calculator

997 questions

  1. Q23

    June 2025 · Paper 2H

    The whole paper ↗
    June 2025 Paper 2H, question 23: ABCD is a quadrilateral. B A 125 6 cm 12 cm D 9 cm 60 C Find the size of angle ABC. Give your answer correct to the nearest degree. °
  2. Q14

    November 2024 · Paper 1H

    The whole paper ↗
    November 2024 Paper 1H, question 14: ABC is a triangle. A B 30° 3 2 cm 45° C Work out the length of AB. cm
  3. Q17

    November 2024 · Paper 3H

    The whole paper ↗
    November 2024 Paper 3H, question 17: Here is triangle ABC. B 14.6 cm A 18.2 cm 7.9 cm C Work out the area of triangle ABC. Give your answer correct to 3 significant figures. 2 cm
  4. Q18

    June 2024 · Paper 3H

    The whole paper ↗
    June 2024 Paper 3H, question 18: ABCD is a quadrilateral. D A 57 35 17 cm 48 C B The area of triangle ABC is 54 cm 2 Calculate the area of triangle ACD. Give your answer correct to 3 significan
  5. Q20

    November 2023 · Paper 1H

    The whole paper ↗
    November 2023 Paper 1H, question 20: Here is triangle ABC. B 5 cm 10 cm C 5 7 cm A Find the size of angle ABC. You must show all your working. °
  6. Q16

    November 2023 · Paper 2H

    The whole paper ↗
    November 2023 Paper 2H, question 16: ABCD is a trapezium. 7.9 cm A B 112° 15.3 cm 42° D C AD is parallel to BC. Calculate the area of triangle BCD. Give your answer correct to 1 decimal place. cm2
  7. Q13

    June 2023 · Paper 2H

    The whole paper ↗
    June 2023 Paper 2H, question 13: ABC is a triangle. B 70° 15 cm A 18 cm C Calculate the size of angle BAC. Give your answer correct to 1 decimal place. °
  8. Q10

    June 2023 · Paper 3H

    The whole paper ↗
    June 2023 Paper 3H, question 10: ABD is a triangle. C is a point on BD. A 6.8 cm 41° 55° D B C Work out the length of DC. Give your answer correct to 1 decimal place. cm
  9. 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
  10. Q22

    November 2022 · Paper 1H

    The whole paper ↗
    November 2022 Paper 1H, question 22: Here is a triangle ABC. B 10.7 cm 30° A C 6.5 cm Work out the value of sin ABC Give your answer in the form m n where m and n are integers.
  11. Q18

    June 2022 · Paper 2H

    The whole paper ↗
    June 2022 Paper 2H, question 18: PQR and QRS are triangles. P 11 cm 27° Q 9.4 cm 88° R 41° S Calculate the length of QS. Give your answer correct to 3 significant figures. You must show all you
  12. Q15

    November 2021 · Paper 2H

    The whole paper ↗
    November 2021 Paper 2H, question 15: Here is triangle ABC. A 72° 11cm 8 cm C B (a) Find the length of BC. Give your answer correct to 3 significant figures. cm (b) Find the area of triangle ABC. Gi
  13. Q23

    November 2021 · Paper 3H

    The whole paper ↗
    November 2021 Paper 3H, question 23: ABC is a triangle. A x° x° B C D D is the point on BC such that angle BAD = angle DAC = x° Prove that AB AC = BD DC
  14. Q13

    November 2020 · Paper 2H

    The whole paper ↗
    November 2020 Paper 2H, question 13: Here is triangle ABC. C 34° 23.8 cm 26° A B Work out the length of AB. Give your answer correct to 1 decimal place. cm
  15. Q18

    November 2019 · Paper 3H

    The whole paper ↗
    November 2019 Paper 3H, question 18: The diagram shows triangle ABC. B 6.1cm D 3.4cm C 6.2cm A AB = 3.4 cm AC = 6.2 cm BC = 6.1 cm D is the point on BC such that size of angle DAC = size of angle B
  16. June 2019 Paper 3H, question 23: The diagram shows the positions of three towns, Acton (A), Barston (B) and Chorlton (C). N B 150° N 8 km N 9 km 37° A C Barston is 8 km from Acton on a bearing
  17. Q17

    June 2018 · Paper 3H

    The whole paper ↗
    June 2018 Paper 3H, question 17: A 11.4 cm B 86q 109q 34q C 12.5 cm D Work out the length of AD. Give your answer correct to 3 significant figures. cm
  18. Q17

    November 2017 · Paper 3H

    The whole paper ↗
    November 2017 Paper 3H, question 17: ABC and ADC are triangles. B 118° 48° C A 105° 11 m D The area of triangle ADC is 56 m2 Work out the length of AB. Give your answer correct to 1 decimal place.
  19. Q22

    June 2017 · Paper 1H

    The whole paper ↗
    June 2017 Paper 1H, question 22: The diagram shows a hexagon ABCDEF. B A C P Q E F D ABEF and CBED are congruent parallelograms where AB = BC = x cm. P is the point on AF and Q is the point on
All 19 questions on Sine and cosine rules, as a list
  1. June 2025, Paper 2H, Q23 (5 marks): ABCD is a quadrilateral. B A 125 6 cm 12 cm D 9 cm 60 C Find the size of angle ABC. Give your answer correct to the nearest degree. °
  2. November 2024, Paper 1H, Q14 (3 marks): ABC is a triangle. A B 30° 3 2 cm 45° C Work out the length of AB. cm
  3. November 2024, Paper 3H, Q17 (4 marks): Here is triangle ABC. B 14.6 cm A 18.2 cm 7.9 cm C Work out the area of triangle ABC. Give your answer correct to 3 significant figures. 2 cm
  4. June 2024, Paper 3H, Q18 (5 marks): ABCD is a quadrilateral. D A 57 35 17 cm 48 C B The area of triangle ABC is 54 cm 2 Calculate the area of triangle ACD. Give your answer correct to 3 significan
  5. November 2023, Paper 1H, Q20 (4 marks): Here is triangle ABC. B 5 cm 10 cm C 5 7 cm A Find the size of angle ABC. You must show all your working. °
  6. November 2023, Paper 2H, Q16 (4 marks): ABCD is a trapezium. 7.9 cm A B 112° 15.3 cm 42° D C AD is parallel to BC. Calculate the area of triangle BCD. Give your answer correct to 1 decimal place. cm2
  7. June 2023, Paper 2H, Q13 (4 marks): ABC is a triangle. B 70° 15 cm A 18 cm C Calculate the size of angle BAC. Give your answer correct to 1 decimal place. °
  8. June 2023, Paper 3H, Q10 (3 marks): ABD is a triangle. C is a point on BD. A 6.8 cm 41° 55° D B C Work out the length of DC. Give your answer correct to 1 decimal place. cm
  9. 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
  10. November 2022, Paper 1H, Q22 (4 marks): Here is a triangle ABC. B 10.7 cm 30° A C 6.5 cm Work out the value of sin ABC Give your answer in the form m n where m and n are integers.
  11. June 2022, Paper 2H, Q18 (4 marks): PQR and QRS are triangles. P 11 cm 27° Q 9.4 cm 88° R 41° S Calculate the length of QS. Give your answer correct to 3 significant figures. You must show all you
  12. November 2021, Paper 2H, Q15 (5 marks): Here is triangle ABC. A 72° 11cm 8 cm C B (a) Find the length of BC. Give your answer correct to 3 significant figures. cm (b) Find the area of triangle ABC. Gi
  13. November 2021, Paper 3H, Q23 (4 marks): ABC is a triangle. A x° x° B C D D is the point on BC such that angle BAD = angle DAC = x° Prove that AB AC = BD DC
  14. November 2020, Paper 2H, Q13 (3 marks): Here is triangle ABC. C 34° 23.8 cm 26° A B Work out the length of AB. Give your answer correct to 1 decimal place. cm
  15. November 2019, Paper 3H, Q18 (5 marks): The diagram shows triangle ABC. B 6.1cm D 3.4cm C 6.2cm A AB = 3.4 cm AC = 6.2 cm BC = 6.1 cm D is the point on BC such that size of angle DAC = size of angle B
  16. June 2019, Paper 3H, Q23 (5 marks): The diagram shows the positions of three towns, Acton (A), Barston (B) and Chorlton (C). N B 150° N 8 km N 9 km 37° A C Barston is 8 km from Acton on a bearing
  17. June 2018, Paper 3H, Q17 (5 marks): A 11.4 cm B 86q 109q 34q C 12.5 cm D Work out the length of AD. Give your answer correct to 3 significant figures. cm
  18. November 2017, Paper 3H, Q17 (5 marks): ABC and ADC are triangles. B 118° 48° C A 105° 11 m D The area of triangle ADC is 56 m2 Work out the length of AB. Give your answer correct to 1 decimal place.
  19. June 2017, Paper 1H, Q22 (5 marks): The diagram shows a hexagon ABCDEF. B A C P Q E F D ABEF and CBED are congruent parallelograms where AB = BC = x cm. P is the point on AF and Q is the point on

Questions, mark schemes and examiner’s reports are © Pearson Edexcel, from their published past papers. Plumi isn’t affiliated with any exam board. Want whole papers? Every Edexcel GCSE Maths paper.

Rather write your answers by hand on iPad? Plumi marks them against the same mark schemes.