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Area of a triangle (½ab sin C): Edexcel GCSE Maths questions

Every Edexcel GCSE Maths exam question on G23 Area of a triangle (½ab sin C), 2017–2025, with its mark scheme and examiner’s report.

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997 questions

  1. Q14

    June 2025 · Paper 3H

    The whole paper ↗
    June 2025 Paper 3H, question 14: Here is triangle ABC. A 35 9.8 cm 8.3 cm B C Calculate the area of triangle ABC. Give your answer correct to 3 significant figures. cm 2
  2. 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
  3. 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
  4. 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
  5. Q18

    November 2022 · Paper 2H

    The whole paper ↗
    November 2022 Paper 2H, question 18: Here is a triangle. 118° 4.3 cm 11.2 cm Work out the area of the triangle. Give your answer correct to 3 significant figures. cm2
  6. Q26

    November 2022 · Paper 3H

    The whole paper ↗
    November 2022 Paper 3H, question 26: ABCDEFG is a regular heptagon. A G B F C E D The area of triangle ABG is 30 cm2 Calculate the length of GB. Give your answer correct to 3 significant figures. Y
  7. 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
  8. 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
  9. Q19

    November 2020 · Paper 3H

    The whole paper ↗
    November 2020 Paper 3H, question 19: H I B C G J A D K F E ABCDEF is a regular hexagon with sides of length x. This hexagon is enlarged, centre F, by scale factor p to give hexagon FGHIJK. Show tha
  10. Q23

    November 2019 · Paper 2H

    The whole paper ↗
    November 2019 Paper 2H, question 23: The diagram shows a parallelogram. (2x 150° x) cm The area of the parallelogram is greater than 15 cm2 (a) Show that 2x2 – 21x + 40 0 (b) Find the range of poss
  11. June 2019 Paper 3H, question 14: The diagram shows a rectangle, ABDE, and two congruent triangles, AFE and BCD. A B 30° 30° 24 cm 24 cm F C E D area of rectangle ABDE area of triangle AFE  are
  12. 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.
  13. Q15

    June 2017 · Paper 3H

    The whole paper ↗
    June 2017 Paper 3H, question 15: C (x + 3) metres 45° A B (2x – 1) metres 2 The area of triangle ABC is 6 2 m . Calculate the value of x. Give your answer correct to 3 significant figures.
All 13 questions on Area of a triangle (½ab sin C), as a list
  1. June 2025, Paper 3H, Q14 (2 marks): Here is triangle ABC. A 35 9.8 cm 8.3 cm B C Calculate the area of triangle ABC. Give your answer correct to 3 significant figures. cm 2
  2. 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
  3. 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
  4. 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
  5. November 2022, Paper 2H, Q18 (2 marks): Here is a triangle. 118° 4.3 cm 11.2 cm Work out the area of the triangle. Give your answer correct to 3 significant figures. cm2
  6. November 2022, Paper 3H, Q26 (5 marks): ABCDEFG is a regular heptagon. A G B F C E D The area of triangle ABG is 30 cm2 Calculate the length of GB. Give your answer correct to 3 significant figures. Y
  7. 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
  8. 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
  9. November 2020, Paper 3H, Q19 (4 marks): H I B C G J A D K F E ABCDEF is a regular hexagon with sides of length x. This hexagon is enlarged, centre F, by scale factor p to give hexagon FGHIJK. Show tha
  10. November 2019, Paper 2H, Q23 (6 marks): The diagram shows a parallelogram. (2x 150° x) cm The area of the parallelogram is greater than 15 cm2 (a) Show that 2x2 – 21x + 40 0 (b) Find the range of poss
  11. June 2019, Paper 3H, Q14 (4 marks): The diagram shows a rectangle, ABDE, and two congruent triangles, AFE and BCD. A B 30° 30° 24 cm 24 cm F C E D area of rectangle ABDE area of triangle AFE  are
  12. 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.
  13. June 2017, Paper 3H, Q15 (5 marks): C (x + 3) metres 45° A B (2x – 1) metres 2 The area of triangle ABC is 6 2 m . Calculate the value of x. Give your answer correct to 3 significant figures.

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