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Area of 2D shapes and volume of prisms: OCR GCSE Maths questions

Every OCR GCSE Maths exam question on G16 Area of 2D shapes and volume of prisms, 2017–2025, with its mark scheme and examiner’s report.

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921 questions

  1. Q12

    June 2025 · Paper 4

    5 marksG16 Area of 2D shapes and volume of prismsG20 Pythagoras and trigonometry
    The whole paper ↗
    June 2025 Paper 4, question 12: The diagram shows a trapezium. 17.2 cm Not to scale 7 cm 7 cm 25.6 cm Calculate the area of the trapezium. You must show your working. 2 cm

  2. Q9

    November 2024 · Paper 4

    4 marksG16 Area of 2D shapes and volume of prismsR4 Ratio notation
    The whole paper ↗
    November 2024 Paper 4, question 9: A cylinder has a radius of 8.4 cm. The ratio of the radius of the cylinder to the height of the cylinder is 2 : 5. Find the volume of the cylinder. 3 cm

  3. Q12

    November 2024 · Paper 5

    4 marksR11 Compound units: speed, density and pressureN14 Estimation
    The whole paper ↗
    November 2024 Paper 5, question 12: A housing estate is built on a triangular piece of land. Not to scale 1.96 km 5.03 km There are 3951 people living on the estate. 2. Work out an estimate of the

  4. Q2

    June 2024 · Paper 4

    3 marksG16 Area of 2D shapes and volume of prisms
    The whole paper ↗
    June 2024 Paper 4, question 2: The diagram shows a triangle and a trapezium. 9 cm Not to scale 6.4 cm 4.8 cm 18 cm 15 cm Show that they have the same area.

  5. Q9

    June 2024 · Paper 6

    7 marksG18 Arcs and sectorsG16 Area of 2D shapes and volume of prisms
    The whole paper ↗
    June 2024 Paper 6, question 9: The diagram shows a shaded sector inside a parallelogram. The sector has an angle of 30°. The parallelogram, ABCD, has length BC = 20 cm and AB = 12 cm . The pe

  6. Q10

    November 2023 · Paper 4

    6 marksG16 Area of 2D shapes and volume of prismsG20 Pythagoras and trigonometry
    The whole paper ↗
    November 2023 Paper 4, question 10: The diagram shows a pentagon ABCDE. 48 cm A E Not to scale 42.5 cm D 54 cm 34 cm B C Find the area of the pentagon. You must show your working. 2 cm

  7. Q14

    November 2023 · Paper 6

    4 marksN16 Upper and lower boundsG16 Area of 2D shapes and volume of prisms
    The whole paper ↗
    November 2023 Paper 6, question 14: Here is a right-angled triangle. Not to scale height base 2, correct to the nearest 10cm 2. The area of the triangle is 100cm The length of the base of the tria

  8. Q4

    June 2023 · Paper 5

    3 marksG16 Area of 2D shapes and volume of prismsA18 Quadratic equations
    The whole paper ↗
    June 2023 Paper 5, question 4: The diagram shows a prism of length 10 cm. h cm 10 cm b cm The cross-section of the prism is a right-angled triangle. The base, b cm, is 2 cm longer than the he

  9. Q11

    June 2023 · Paper 6

    5 marksA21 Forming and solving equationsG16 Area of 2D shapes and volume of prisms
    The whole paper ↗
    June 2023 Paper 6, question 11: The diagram shows a quadrilateral, PQRS. P Q Not to scale 10 cm S R PS = 10 cm. Angle QPS = Angle PSR = 90°. SR is 6 cm longer than PQ. The area of quadrilatera

  10. Q10

    November 2022 · Paper 5

    6 marksG16 Area of 2D shapes and volume of prismsR5 Sharing in a ratio
    The whole paper ↗
    November 2022 Paper 5, question 10: The parallelogram and the trapezium have the same area. x cm Not to scale 6 cm 5 cm 4 cm y cm 8 cm The ratio of x : y is 3 : 5. Find the value of x and the valu

  11. Q10

    June 2022 · Paper 6

    6 marksG16 Area of 2D shapes and volume of prismsG17 Circles, surface area and volume
    The whole paper ↗
    June 2022 Paper 6, question 10: The diagram shows a triangular prism and a cube. The ends of the prism are right-angled triangles with base 16 cm and height 12 cm. The prism is 18 cm long. 12

  12. Q2

    November 2021 · Paper 4

    2 marksG16 Area of 2D shapes and volume of prisms
    The whole paper ↗
    November 2021 Paper 4, question 2: Calculate the area of this trapezium. 8.7 cm Not to scale 6.8 cm 12.3 cm 2 cm

  13. Q5

    November 2021 · Paper 5

    4 marksG16 Area of 2D shapes and volume of prisms
    The whole paper ↗
    November 2021 Paper 5, question 5: Work out the volume of this prism. 1 cm 4 cm Not to scale 3 cm 1 cm 6 cm cm3

  14. Q20

    November 2020 · Paper 5

    7 marksG16 Area of 2D shapes and volume of prismsR5 Sharing in a ratio
    The whole paper ↗
    November 2020 Paper 5, question 20: ABCD is a trapezium. D C Not to scale A B The perimeter of the trapezium is 56 cm. The ratio AD : AB : DC : BC = 5 : 12 : 6 : 5. Calculate the area of the trape

  15. Q6

    November 2020 · Paper 6

    6 marksR11 Compound units: speed, density and pressureG16 Area of 2D shapes and volume of prisms
    The whole paper ↗
    November 2020 Paper 6, question 6: A truck is used to transport some wood panels. Each wood panel is a cuboid measuring 2.4 m by 1.2 m by 1.8 cm. 3. The density of each wood panel is 750 kg/m The

  16. Q18

    November 2019 · Paper 4

    8 marksG16 Area of 2D shapes and volume of prismsG20 Pythagoras and trigonometry
    The whole paper ↗
    November 2019 Paper 4, question 18: The diagram shows a right-angled triangular prism ABCDEF. E F 6 cm B C 10 cm A D 11 cm Length AD = 11 cm, length CD = 10 cm and length CF = 6 cm. (a) Calculate

  17. Q4

    November 2019 · Paper 6

    5 marksA21 Forming and solving equationsG16 Area of 2D shapes and volume of prisms
    The whole paper ↗
    November 2019 Paper 6, question 4: The diagram shows two rectangles, A and B. Rectangle A Rectangle B 12 cm Not to scale 25 cm Rectangle A has a width of 25 cm and a height of 12 cm. The width of

  18. Q12

    November 2018 · Paper 6

    6 marksG16 Area of 2D shapes and volume of prismsA21 Forming and solving equations
    The whole paper ↗
    November 2018 Paper 6, question 12: In the diagram, the square and the trapezium share a common side of length x cm. Not to scale x cm 6 cm 10 cm The area of the square is equal to the area of the

  19. Q7

    June 2018 · Paper 5

    6 marksG16 Area of 2D shapes and volume of prismsN2 The four operations
    The whole paper ↗
    June 2018 Paper 5, question 7: Here is the floor plan of a rectangular room. 4.5 m Not to scale 3 m Tim buys carpet tiles for this room. Each tile is a square measuring 50 cm by 50 cm. The ti

  20. Q6

    November 2017 · Paper 5

    5 marksA21 Forming and solving equationsG16 Area of 2D shapes and volume of prisms
    The whole paper ↗
    November 2017 Paper 5, question 6: This rectangle has length (4x – 5) cm and width (x + 3) cm. Not to scale (x + 3) cm (4x – 5) cm The perimeter of the rectangle is 46 cm. Calculate the area of t
All 21 questions on Area of 2D shapes and volume of prisms, as a list
  1. June 2025, Paper 4, Q12 (5 marks): The diagram shows a trapezium. 17.2 cm Not to scale 7 cm 7 cm 25.6 cm Calculate the area of the trapezium. You must show your working. 2 cm
  2. November 2024, Paper 4, Q9 (4 marks): A cylinder has a radius of 8.4 cm. The ratio of the radius of the cylinder to the height of the cylinder is 2 : 5. Find the volume of the cylinder. 3 cm
  3. November 2024, Paper 5, Q12 (4 marks): A housing estate is built on a triangular piece of land. Not to scale 1.96 km 5.03 km There are 3951 people living on the estate. 2. Work out an estimate of the
  4. June 2024, Paper 4, Q2 (3 marks): The diagram shows a triangle and a trapezium. 9 cm Not to scale 6.4 cm 4.8 cm 18 cm 15 cm Show that they have the same area.
  5. June 2024, Paper 6, Q9 (7 marks): The diagram shows a shaded sector inside a parallelogram. The sector has an angle of 30°. The parallelogram, ABCD, has length BC = 20 cm and AB = 12 cm . The pe
  6. November 2023, Paper 4, Q10 (6 marks): The diagram shows a pentagon ABCDE. 48 cm A E Not to scale 42.5 cm D 54 cm 34 cm B C Find the area of the pentagon. You must show your working. 2 cm
  7. November 2023, Paper 6, Q14 (4 marks): Here is a right-angled triangle. Not to scale height base 2, correct to the nearest 10cm 2. The area of the triangle is 100cm The length of the base of the tria
  8. June 2023, Paper 5, Q4 (3 marks): The diagram shows a prism of length 10 cm. h cm 10 cm b cm The cross-section of the prism is a right-angled triangle. The base, b cm, is 2 cm longer than the he
  9. June 2023, Paper 6, Q11 (5 marks): The diagram shows a quadrilateral, PQRS. P Q Not to scale 10 cm S R PS = 10 cm. Angle QPS = Angle PSR = 90°. SR is 6 cm longer than PQ. The area of quadrilatera
  10. November 2022, Paper 5, Q10 (6 marks): The parallelogram and the trapezium have the same area. x cm Not to scale 6 cm 5 cm 4 cm y cm 8 cm The ratio of x : y is 3 : 5. Find the value of x and the valu
  11. June 2022, Paper 6, Q10 (6 marks): The diagram shows a triangular prism and a cube. The ends of the prism are right-angled triangles with base 16 cm and height 12 cm. The prism is 18 cm long. 12
  12. November 2021, Paper 4, Q2 (2 marks): Calculate the area of this trapezium. 8.7 cm Not to scale 6.8 cm 12.3 cm 2 cm
  13. November 2021, Paper 5, Q5 (4 marks): Work out the volume of this prism. 1 cm 4 cm Not to scale 3 cm 1 cm 6 cm cm3
  14. November 2020, Paper 5, Q20 (7 marks): ABCD is a trapezium. D C Not to scale A B The perimeter of the trapezium is 56 cm. The ratio AD : AB : DC : BC = 5 : 12 : 6 : 5. Calculate the area of the trape
  15. November 2020, Paper 6, Q6 (6 marks): A truck is used to transport some wood panels. Each wood panel is a cuboid measuring 2.4 m by 1.2 m by 1.8 cm. 3. The density of each wood panel is 750 kg/m The
  16. November 2019, Paper 4, Q18 (8 marks): The diagram shows a right-angled triangular prism ABCDEF. E F 6 cm B C 10 cm A D 11 cm Length AD = 11 cm, length CD = 10 cm and length CF = 6 cm. (a) Calculate
  17. November 2019, Paper 6, Q4 (5 marks): The diagram shows two rectangles, A and B. Rectangle A Rectangle B 12 cm Not to scale 25 cm Rectangle A has a width of 25 cm and a height of 12 cm. The width of
  18. November 2018, Paper 6, Q12 (6 marks): In the diagram, the square and the trapezium share a common side of length x cm. Not to scale x cm 6 cm 10 cm The area of the square is equal to the area of the
  19. June 2018, Paper 5, Q7 (6 marks): Here is the floor plan of a rectangular room. 4.5 m Not to scale 3 m Tim buys carpet tiles for this room. Each tile is a square measuring 50 cm by 50 cm. The ti
  20. November 2017, Paper 5, Q6 (5 marks): This rectangle has length (4x – 5) cm and width (x + 3) cm. Not to scale (x + 3) cm (4x – 5) cm The perimeter of the rectangle is 46 cm. Calculate the area of t
  21. November 2017, Paper 6, Q18 (11 marks): The diagram below shows a 1 cm coordinate grid. y 8 7 B 6 5 4 3 2 A 1 x 0 5 6 7 8 1 2 3 4 (a) Find an inequality that defines region A and another inequality th

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