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

Every AQA 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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1,304 questions

  1. Q5

    November 2024 · Paper 1H

    3 marksG16 Area of 2D shapes and volume of prismsG12 Properties of 3D shapes
    The whole paper ↗
    November 2024 Paper 1H, question 5: Here is a solid prism. 5 (a) How many faces does the prism have? Answer 5 (b) The prism has volume = 3500 cm3 and length = 20 cm Work out the area of the cross-

  2. Q13

    June 2024 · Paper 1H

    4 marksG16 Area of 2D shapes and volume of prisms
    The whole paper ↗
    June 2024 Paper 1H, question 13: ABCDE is a pentagon with AB = 7 cm • BC = 6 cm • AB and BC are perpendicular. • AB and DC are equal and parallel. • Area of the pentagon = 54 cm2 • The pentagon

  3. Q25

    June 2024 · Paper 2H

    5 marksG16 Area of 2D shapes and volume of prismsR4 Ratio notation
    The whole paper ↗
    June 2024 Paper 2H, question 25: Here is a right-angled triangular prism. The ratio of the edges is a : b : c : d = 3 : 4 : 5 : 12 The volume of the prism is 1125 cm3 Work out the total length

  4. Q8

    November 2023 · Paper 1H

    3 marksG16 Area of 2D shapes and volume of prismsR4 Ratio notation
    The whole paper ↗
    November 2023 Paper 1H, question 8: In the diagrams, all lengths are in centimetres. The two shapes have equal areas. Work out k : m Not drawn accurately Answer :

  5. Q7

    November 2023 · Paper 2H

    3 marksG16 Area of 2D shapes and volume of prisms
    The whole paper ↗
    November 2023 Paper 2H, question 7: Here is a prism drawn on an isometric grid. Work out the volume of the prism. Answer cm3

  6. Q5

    November 2022 · Paper 3H

    3 marksG16 Area of 2D shapes and volume of prisms
    The whole paper ↗
    November 2022 Paper 3H, question 5: ABCDE is a pentagon. Work out the area of the pentagon. Not drawn accurately Answer cm2

  7. Q14

    November 2022 · Paper 3H

    5 marksR11 Compound units: speed, density and pressureG16 Area of 2D shapes and volume of prisms
    The whole paper ↗
    November 2022 Paper 3H, question 14: Here are two solid cubes, X and Y. The mass of X is 10.976 kg The area of each face of X is 784 cm2 14 (a) Zayan wants to know the density of Y. He assumes that

  8. Q11

    June 2022 · Paper 2H

    5 marksG20 Pythagoras and trigonometryG16 Area of 2D shapes and volume of prisms
    The whole paper ↗
    June 2022 Paper 2H, question 11: A shape is made by joining a right-angled triangle to a rectangle. Work out the area of the shape. Not drawn accurately Answer cm2

  9. Q9

    November 2021 · Paper 3H

    4 marksR5 Sharing in a ratioG16 Area of 2D shapes and volume of prisms
    The whole paper ↗
    November 2021 Paper 3H, question 9: Rectangle ABCD is split into four smaller rectangles. Two of the smaller rectangles are shaded. 4 : x = 1 : 2 For rectangle ABCD, work out the ratio shaded area

  10. Q13

    November 2021 · Paper 3H

    4 marksG16 Area of 2D shapes and volume of prisms
    The whole paper ↗
    November 2021 Paper 3H, question 13: A box is the shape of half a cylinder on top of a cuboid. Work out the volume of the box. Answer cm3

  11. Q13

    November 2020 · Paper 2H

    3 marksG16 Area of 2D shapes and volume of prisms
    The whole paper ↗
    November 2020 Paper 2H, question 13: The diagram shows a wall. The area of the wall is 39.2 m2 Work out the length of the wall. Not drawn accurately Answer m

  12. Q23

    November 2020 · Paper 2H

    4 marksG16 Area of 2D shapes and volume of prismsG20 Pythagoras and trigonometry
    The whole paper ↗
    November 2020 Paper 2H, question 23: Right-angled triangle ABC is the cross section of a prism. AB = 5 cm BC = 12 cm M is the midpoint of CF. AM = 16 cm Work out the volume of the prism. Answer cm3

  13. Q14

    November 2019 · Paper 2H

    6 marksR11 Compound units: speed, density and pressureG16 Area of 2D shapes and volume of prisms
    The whole paper ↗
    November 2019 Paper 2H, question 14: Ralf has an iron. He models the base as a triangle joined to a trapezium. Not drawn accurately 14 (a) The iron applies a force of 25 newtons (N) pressure = area

  14. Q13

    June 2019 · Paper 1H

    3 marksN14 EstimationG16 Area of 2D shapes and volume of prisms
    The whole paper ↗
    June 2019 Paper 1H, question 13: The triangular cross section of a prism is an isosceles right-angled triangle. The volume of the prism is 102 cm3 Use approximations to estimate the value of x.

  15. Q2

    November 2018 · Paper 1H

    1 markG16 Area of 2D shapes and volume of prisms
    The whole paper ↗
    November 2018 Paper 1H, question 2: Circle the volume, in cm3, of a cylinder with radius 5 cm and height 8 cm 40π 80π 200π 1600π

  16. Q13

    November 2018 · Paper 2H

    2 marksG16 Area of 2D shapes and volume of prismsR1 Converting units
    The whole paper ↗
    November 2018 Paper 2H, question 13: Ashraf is going to put boxes into a crate. The crate is a cuboid measuring 2.5 m by 2 m by 1.2 m Each box is a cube of length 50 cm He does these calculations.

  17. Q16

    June 2018 · Paper 2H

    4 marksR11 Compound units: speed, density and pressureG16 Area of 2D shapes and volume of prisms
    The whole paper ↗
    June 2018 Paper 2H, question 16: Some concrete has volume 3.8 m3 16 (a) The density of the concrete is 2400 kg/m3 Work out the mass of the concrete. Answer kg 16 (b) The 3.8 m3 of concrete is m

  18. Q10

    November 2017 · Paper 1H

    4 marksG16 Area of 2D shapes and volume of prisms
    The whole paper ↗
    November 2017 Paper 1H, question 10: Three identical isosceles triangles are joined to make this trapezium. Each triangle has base b cm and perpendicular height h cm Not drawn accurately 10 (a) Wor

  19. Q6

    November 2017 · Paper 2H

    4 marksR10 Direct and inverse proportionG16 Area of 2D shapes and volume of prisms
    The whole paper ↗
    November 2017 Paper 2H, question 6: The graph shows information about prisms with the same volume. 6 (a) Give one example to show the volume is 24 cm3 6 (b) The diagram shows a prism with volume 2

  20. Q17

    November 2017 · Paper 2H

    3 marksG16 Area of 2D shapes and volume of prismsG20 Pythagoras and trigonometry
    The whole paper ↗
    November 2017 Paper 2H, question 17: Work out the area of the parallelogram. Not drawn accurately Answer cm2
All 22 questions on Area of 2D shapes and volume of prisms, as a list
  1. November 2024, Paper 1H, Q5 (3 marks): Here is a solid prism. 5 (a) How many faces does the prism have? Answer 5 (b) The prism has volume = 3500 cm3 and length = 20 cm Work out the area of the cross-
  2. June 2024, Paper 1H, Q13 (4 marks): ABCDE is a pentagon with AB = 7 cm • BC = 6 cm • AB and BC are perpendicular. • AB and DC are equal and parallel. • Area of the pentagon = 54 cm2 • The pentagon
  3. June 2024, Paper 2H, Q25 (5 marks): Here is a right-angled triangular prism. The ratio of the edges is a : b : c : d = 3 : 4 : 5 : 12 The volume of the prism is 1125 cm3 Work out the total length
  4. November 2023, Paper 1H, Q8 (3 marks): In the diagrams, all lengths are in centimetres. The two shapes have equal areas. Work out k : m Not drawn accurately Answer :
  5. November 2023, Paper 2H, Q7 (3 marks): Here is a prism drawn on an isometric grid. Work out the volume of the prism. Answer cm3
  6. November 2022, Paper 3H, Q5 (3 marks): ABCDE is a pentagon. Work out the area of the pentagon. Not drawn accurately Answer cm2
  7. November 2022, Paper 3H, Q14 (5 marks): Here are two solid cubes, X and Y. The mass of X is 10.976 kg The area of each face of X is 784 cm2 14 (a) Zayan wants to know the density of Y. He assumes that
  8. June 2022, Paper 2H, Q11 (5 marks): A shape is made by joining a right-angled triangle to a rectangle. Work out the area of the shape. Not drawn accurately Answer cm2
  9. November 2021, Paper 3H, Q9 (4 marks): Rectangle ABCD is split into four smaller rectangles. Two of the smaller rectangles are shaded. 4 : x = 1 : 2 For rectangle ABCD, work out the ratio shaded area
  10. November 2021, Paper 3H, Q13 (4 marks): A box is the shape of half a cylinder on top of a cuboid. Work out the volume of the box. Answer cm3
  11. November 2020, Paper 2H, Q13 (3 marks): The diagram shows a wall. The area of the wall is 39.2 m2 Work out the length of the wall. Not drawn accurately Answer m
  12. November 2020, Paper 2H, Q23 (4 marks): Right-angled triangle ABC is the cross section of a prism. AB = 5 cm BC = 12 cm M is the midpoint of CF. AM = 16 cm Work out the volume of the prism. Answer cm3
  13. November 2019, Paper 2H, Q14 (6 marks): Ralf has an iron. He models the base as a triangle joined to a trapezium. Not drawn accurately 14 (a) The iron applies a force of 25 newtons (N) pressure = area
  14. June 2019, Paper 1H, Q13 (3 marks): The triangular cross section of a prism is an isosceles right-angled triangle. The volume of the prism is 102 cm3 Use approximations to estimate the value of x.
  15. November 2018, Paper 1H, Q2 (1 mark): Circle the volume, in cm3, of a cylinder with radius 5 cm and height 8 cm 40π 80π 200π 1600π
  16. November 2018, Paper 2H, Q13 (2 marks): Ashraf is going to put boxes into a crate. The crate is a cuboid measuring 2.5 m by 2 m by 1.2 m Each box is a cube of length 50 cm He does these calculations.
  17. June 2018, Paper 2H, Q16 (4 marks): Some concrete has volume 3.8 m3 16 (a) The density of the concrete is 2400 kg/m3 Work out the mass of the concrete. Answer kg 16 (b) The 3.8 m3 of concrete is m
  18. November 2017, Paper 1H, Q10 (4 marks): Three identical isosceles triangles are joined to make this trapezium. Each triangle has base b cm and perpendicular height h cm Not drawn accurately 10 (a) Wor
  19. November 2017, Paper 2H, Q6 (4 marks): The graph shows information about prisms with the same volume. 6 (a) Give one example to show the volume is 24 cm3 6 (b) The diagram shows a prism with volume 2
  20. November 2017, Paper 2H, Q17 (3 marks): Work out the area of the parallelogram. Not drawn accurately Answer cm2
  21. Specimen, Paper 1H, Q18 (4 marks): In this question all dimensions are in centimetres. A solid has uniform cross section. The cross section is a rectangle and a semicircle joined together. x x 2x
  22. Specimen, Paper 2H, Q14 (7 marks): (a) A pattern is made from two similar trapeziums. 18 cm 25 cm 10 cm 4 cm Not drawn accurately Show that the shaded area is 294 cm2 14 (b) The pattern has one l

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