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

Every OCR 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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921 questions

  1. Q22

    June 2025 · Paper 5

    6 marksG23 Area of a triangle (½ab sin C)G20 Pythagoras and trigonometry
    The whole paper ↗
    June 2025 Paper 5, question 22: The diagram shows a quadrilateral ABCD. DB is a diagonal of the quadrilateral. C Not to scale 14 cm D 5 cm 45° x° A B 7 cm AD = 5 cm, AB = 7 cm and BC = 14 cm.

  2. Q16

    November 2024 · Paper 4

    6 marksG22 Sine and cosine rulesG23 Area of a triangle (½ab sin C)
    The whole paper ↗
    November 2024 Paper 4, question 16: AC is a diagonal of the quadrilateral ABCD. B Not to scale C 108° 38° 34° 65° 25° A D 72 m AD = 72 m . Angle ABC = 108 ° , angle BCA = 3 8 ° and angle BAC = 34

  3. Q20

    June 2023 · Paper 4

    5 marksG22 Sine and cosine rulesG23 Area of a triangle (½ab sin C)
    The whole paper ↗
    June 2023 Paper 4, question 20: The diagram shows triangle ABC. B Not to scale 10.6 cm 8.2 cm A C 12.5 cm AB = 10.6 cm, BC = 8.2 cm and AC = 12.5 cm. (a) Show that angle BAC = 40.5°, correct t

  4. Q17

    November 2022 · Paper 5

    3 marksG23 Area of a triangle (½ab sin C)N8 Exact calculation and surds
    The whole paper ↗
    November 2022 Paper 5, question 17: The diagram shows triangle ABC. C 7 m Not to scale 45° B A 8 m Find the area of the triangle. Give your answer in the form a b where a and b are integers. 2 m

  5. Q18

    November 2020 · Paper 5

    5 marksG23 Area of a triangle (½ab sin C)R11 Compound units: speed, density and pressure
    The whole paper ↗
    November 2020 Paper 5, question 18: The diagram shows a triangular field PQR which is used to grow organic carrots. R 80 m Not to scale 30° P Q 100 m PQ = 100 m, PR = 80 m and angle RPQ = 30°. In

  6. Q19

    November 2018 · Paper 6

    6 marksG22 Sine and cosine rulesG23 Area of a triangle (½ab sin C)
    The whole paper ↗
    November 2018 Paper 6, question 19: In this triangle: • AB = 9 cm • AC = 10 cm • BC 2 5 cm • angle BCA = 60° • angle ABC 1 90°. B Not to scale 9 cm 60° A C 10 cm Calculate the area of triangle ABC

  7. Q18

    June 2018 · Paper 4

    6 marksG22 Sine and cosine rulesG23 Area of a triangle (½ab sin C)
    The whole paper ↗
    June 2018 Paper 4, question 18: Calculate the area of this triangle. Not to scale 5.8 cm 3.9 cm 6.4 cm cm2

  8. Q20

    June 2017 · Paper 5

    7 marksG23 Area of a triangle (½ab sin C)G20 Pythagoras and trigonometry
    The whole paper ↗
    June 2017 Paper 5, question 20: The diagram shows some land in the shape of a quadrilateral, ABCD. B Not to scale 3 km 30° A C 5 km 12 km D AB = 3 km, AD = 5 km, CD = 12 km and angle BAC = 30°
All 8 questions on Area of a triangle (½ab sin C), as a list
  1. June 2025, Paper 5, Q22 (6 marks): The diagram shows a quadrilateral ABCD. DB is a diagonal of the quadrilateral. C Not to scale 14 cm D 5 cm 45° x° A B 7 cm AD = 5 cm, AB = 7 cm and BC = 14 cm.
  2. November 2024, Paper 4, Q16 (6 marks): AC is a diagonal of the quadrilateral ABCD. B Not to scale C 108° 38° 34° 65° 25° A D 72 m AD = 72 m . Angle ABC = 108 ° , angle BCA = 3 8 ° and angle BAC = 34
  3. June 2023, Paper 4, Q20 (5 marks): The diagram shows triangle ABC. B Not to scale 10.6 cm 8.2 cm A C 12.5 cm AB = 10.6 cm, BC = 8.2 cm and AC = 12.5 cm. (a) Show that angle BAC = 40.5°, correct t
  4. November 2022, Paper 5, Q17 (3 marks): The diagram shows triangle ABC. C 7 m Not to scale 45° B A 8 m Find the area of the triangle. Give your answer in the form a b where a and b are integers. 2 m
  5. November 2020, Paper 5, Q18 (5 marks): The diagram shows a triangular field PQR which is used to grow organic carrots. R 80 m Not to scale 30° P Q 100 m PQ = 100 m, PR = 80 m and angle RPQ = 30°. In
  6. November 2018, Paper 6, Q19 (6 marks): In this triangle: • AB = 9 cm • AC = 10 cm • BC 2 5 cm • angle BCA = 60° • angle ABC 1 90°. B Not to scale 9 cm 60° A C 10 cm Calculate the area of triangle ABC
  7. June 2018, Paper 4, Q18 (6 marks): Calculate the area of this triangle. Not to scale 5.8 cm 3.9 cm 6.4 cm cm2
  8. June 2017, Paper 5, Q20 (7 marks): The diagram shows some land in the shape of a quadrilateral, ABCD. B Not to scale 3 km 30° A C 5 km 12 km D AB = 3 km, AD = 5 km, CD = 12 km and angle BAC = 30°

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