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3D shapes and volume: Edexcel International GCSE Maths questions

Every Edexcel International GCSE Maths exam question on 4.10 3D shapes and volume, 2019–2025, with its mark scheme and examiner’s report.

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2,567 questions

  1. Q25

    June 2025 (R) · Paper 1 Foundation

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  2. Q10

    June 2025 (R) · Paper 1 Higher

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  3. Q3

    June 2025 (R) · Paper 2 Foundation

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  4. Q22

    June 2025 (R) · Paper 2 Higher

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  5. Q26

    June 2025 (R) · Paper 2 Higher

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  6. Q3

    June 2025 · Paper 1 Foundation

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  7. Q10

    June 2025 · Paper 1 Foundation

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  8. Q24

    June 2025 · Paper 1 Foundation

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  9. Q7

    June 2025 · Paper 1 Higher

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  10. Q21

    June 2025 · Paper 2 Higher

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  11. Q26

    June 2025 · Paper 2 Higher

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  12. Q22

    November 2024 · Paper 1 Foundation

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  13. Q5

    November 2024 · Paper 1 Higher

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  14. Q22

    November 2024 · Paper 1 Higher

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  15. Q10

    November 2024 · Paper 2 Foundation

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  16. Q22

    November 2024 · Paper 2 Foundation

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  17. Q6

    November 2024 · Paper 2 Higher

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  18. Q15

    June 2024 (R) · Paper 1 Foundation

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  19. Q21

    June 2024 (R) · Paper 1 Foundation

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  20. Q6

    June 2024 (R) · Paper 1 Higher

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All 112 questions on 3D shapes and volume, as a list
  1. June 2025 (R), Paper 1 Foundation, Q25 (3 marks): The diagram shows two water containers. One is a cuboid and one is a cylinder. Diagram NOT accurately drawn 10 cm 33 cm 20 cm water 9 cm 28 cm 35 cm The cuboid
  2. June 2025 (R), Paper 1 Higher, Q10 (3 marks): The diagram shows two water containers. One is a cuboid and one is a cylinder. Diagram NOT accurately drawn 10 cm 33 cm 20 cm water 9 cm 28 cm 35 cm The cuboid
  3. June 2025 (R), Paper 2 Foundation, Q3 (4 marks): Here is a 3-D shape. (a) (i) Write down the mathematical name of this shape. (ii) Write down the number of edges of this shape. Here are six quadrilaterals on a
  4. June 2025 (R), Paper 2 Higher, Q22 (5 marks): The diagram shows a solid cuboid. Diagram NOT accurately drawn x cm x cm ( 15 − x cm 4 ) The volume of the cuboid is V cm3 Find the maximum value of V
  5. June 2025 (R), Paper 2 Higher, Q26 (5 marks): The diagram shows a solid hemisphere, H x cm Diagram NOT accurately drawn The radius of H is x cm The volume of H is 6174π cm3 A bowl is made by removing a soli
  6. June 2025, Paper 1 Foundation, Q3 (4 marks): Here is a prism. (a) How many faces has the prism? (b) How many vertices has the prism? O B A D C A and B are points on a circle, centre O (c) Write down the ma
  7. June 2025, Paper 1 Foundation, Q10 (3 marks): Boxes are put into a crate. Diagram NOT accurately drawn 42 cm 6 cm box crate 4 cm 16 cm 12 cm 80 cm Each box is a cuboid, 16 cm by 4 cm by 6 cm The crate is a
  8. June 2025, Paper 1 Foundation, Q24 (3 marks): Here is a solid cylinder. 8 cm Diagram NOT accurately drawn h cm The radius of the cylinder is 8 cm The height of the cylinder is h cm The volume of the cylinde
  9. June 2025, Paper 1 Higher, Q7 (3 marks): Here is a solid cylinder. 8 cm Diagram NOT accurately drawn h cm The radius of the cylinder is 8 cm The height of the cylinder is h cm The volume of the cylinde
  10. June 2025, Paper 2 Higher, Q21 (3 marks): The diagram shows a cuboid. Diagram NOT accurately drawn 2x cm y cm 3x cm The cuboid measures 3x cm by 2x cm by y cm The volume of the cuboid is 1014cm³ The tot
  11. June 2025, Paper 2 Higher, Q26 (4 marks): A and B are two similar solids. The height of solid A is 31 cm The height of solid B is 18.6 cm Given that volume of solid A – volume of solid B = 735 cm³ find
  12. November 2024, Paper 1 Foundation, Q22 (4 marks): The diagram shows a cylinder. Diagram NOT accurately drawn The radius of the cylinder is 70 cm The height of the cylinder is 18 cm Work out the volume of the cy
  13. November 2024, Paper 1 Higher, Q5 (4 marks): The diagram shows a cylinder. Diagram NOT accurately drawn The radius of the cylinder is 70 cm The height of the cylinder is 18 cm Work out the volume of the cy
  14. November 2024, Paper 1 Higher, Q22 (3 marks): The diagram shows a bowl in the shape of a hemisphere. The bowl is made from metal. Diagram NOT accurately drawn The outer radius of the bowl is 12 cm The inner
  15. November 2024, Paper 2 Foundation, Q10 (2 marks): Here is a cuboid. Diagram NOT accurately drawn 12 cm 9 cm 25 cm Work out the volume of the cuboid. cm³
  16. November 2024, Paper 2 Foundation, Q22 (3 marks): The diagram shows a solid triangular prism. Diagram NOT accurately drawn 10 cm 6 cm 15 cm 8 cm Work out the total surface area of the triangular prism. cm2
  17. November 2024, Paper 2 Higher, Q6 (3 marks): The diagram shows a solid triangular prism. Diagram NOT accurately drawn 10 cm 6 cm 15 cm 8 cm Work out the total surface area of the triangular prism. cm2
  18. June 2024 (R), Paper 1 Foundation, Q15 (4 marks): The diagram shows a box and a crate with a lid. Diagram NOT accurately drawn 27 cm crate C 5 cm box 5 cm 40 cm 5 cm 35 cm The box is a cube with sides of length
  19. June 2024 (R), Paper 1 Foundation, Q21 (4 marks): The diagram shows a solid wooden cylinder. 8 cm Diagram NOT accurately drawn h cm The cylinder has radius 8 cm and height h cm. The volume of the cylinder is 12
  20. June 2024 (R), Paper 1 Higher, Q6 (4 marks): The diagram shows a solid wooden cylinder. 8 cm Diagram NOT accurately drawn h cm The cylinder has radius 8 cm and height h cm. The volume of the cylinder is 12
  21. June 2024 (R), Paper 2 Foundation, Q4 (3 marks): Here is a quadrilateral. (a) What is the mathematical name for this type of quadrilateral?  The diagram shows a 3-D shape. (b) (i) What is the mathematical nam
  22. June 2024 (R), Paper 2 Higher, Q24 (5 marks): The diagram shows a solid, S, made from a cone and a hemisphere. Diagram NOT accurately drawn The centre of the circular face of the cone coincides with the cen
  23. June 2024, Paper 1 Foundation, Q23 (3 marks): A cylinder is placed on a table. Diagram NOT 21 cm accurately drawn 3 The volume of the cylinder is 1575 cm The force exerted by the cylinder on the table is 84
  24. June 2024, Paper 1 Higher, Q8 (3 marks): A cylinder is placed on a table. Diagram NOT 21 cm accurately drawn 3 The volume of the cylinder is 1575 cm The force exerted by the cylinder on the table is 84
  25. June 2024, Paper 1 Higher, Q23 (5 marks): A solid shape is made by removing a hemisphere, shown shaded, from a cone as shown in the diagram. Diagram NOT accurately drawn The radius of the hemisphere is
  26. November 2023, Paper 1 Higher, Q21 (5 marks): Here is a triangular prism ABCDEF A F Diagram NOT accurately drawn 28 cm 53 cm B E 30° C D AD = 53 cm DF = 28 cm Angle FDE = 30° Work out the volume of the tria
  27. November 2023, Paper 2 Foundation, Q16 (4 marks): Diagram NOT accurately drawn h cm 20 cm Box Crate 20 cm 20 cm 40 cm 120 cm A crate is in the shape of a cuboid with inside lengths of 120 cm, 40 cm and h cm The
  28. November 2023, Paper 2 Higher, Q23 (5 marks): Here is a frustum of a cone. The frustum is made by removing a small cone from a similar large cone. Diagram NOT accurately drawn 15 cm x cm 6 cm The height of
  29. June 2023 (R), Paper 1 Foundation, Q27 (3 marks): The diagram shows a block of iron in the shape of a cuboid. Diagram NOT accurately drawn 4 cm 5 cm w cm The block has length w cm, width 5 cm and height 4 cm Th
  30. June 2023 (R), Paper 1 Higher, Q11 (3 marks): The diagram shows a block of iron in the shape of a cuboid. Diagram NOT accurately drawn 4 cm 5 cm w cm The block has length w cm, width 5 cm and height 4 cm Th
  31. June 2023 (R), Paper 2 Foundation, Q2 (4 marks): Here is a solid shape. (a) Write down the number of edges of this shape. (b) On the grid below, draw a shape that is congruent to shape T T Here is a parallelog
  32. June 2023 (R), Paper 2 Foundation, Q24 (6 marks): The diagram shows a rectangular sheet of metal ABCD A B Diagram NOT accurately drawn 50 cm 32° D C BD = 50 cm and angle BDC = 32° Nasser joins side AD to side B
  33. June 2023 (R), Paper 2 Higher, Q9 (6 marks): The diagram shows a rectangular sheet of metal ABCD A B Diagram NOT accurately drawn 50 cm 32° D C BD = 50 cm and angle BDC = 32° Nasser joins side AD to side B
  34. June 2023 (R), Paper 2 Higher, Q24 (5 marks): The surface area of sphere A is nine times the surface area of sphere B The difference between the volume of sphere A and the volume of sphere B is 117π cm3 Fin
  35. June 2023, Paper 1 Foundation, Q13 (5 marks): The diagram shows a rectangle and an isosceles triangle. Diagram NOT 8 cm accurately drawn 5 cm 12 cm The perimeter of the rectangle is equal to the perimeter o
  36. June 2023, Paper 1 Higher, Q23 (5 marks): A frustum is made by removing a small square-based pyramid from a similar large squared‑based pyramid as shown in the diagram. Diagram NOT accurately drawn 15 c
  37. June 2023, Paper 2 Higher, Q23 (4 marks): The diagram shows a cuboid with a square cross section. Diagram NOT accurately drawn x cm x cm (2 5 – 3) cm The volume of the cuboid is (13 + 6 5 ) cm3 Without
  38. June 2023, Paper 2 Higher, Q25 (4 marks): A solid sphere has a radius of 2.8 centimetres, correct to 1 decimal place. The sphere has a mass of Mπ grams, where M = 260 correct to 2 significant figures. W
  39. January 2023 (R), Paper 1 Foundation, Q3 (5 marks): (a) Write down the mathematical name of this 3‑D shape. (b) (i) How many faces does this shape have? (ii) How many vertices does this shape have? Here is a diff
  40. January 2023 (R), Paper 1 Foundation, Q13 (3 marks): Diagram NOT accurately drawn 2.4 m 40 cm box container 40 cm 2.4 m 40 cm 10 m Tom puts boxes into a shipping container. The container is a cuboid 10 metres by 2
  41. January 2023 (R), Paper 1 Foundation, Q16 (3 marks): The diagram shows a solid triangular prism. 6 cm Diagram NOT accurately drawn 4.8 cm 7 cm 3.6 cm Work out the total surface area of the triangular prism. Give y
  42. January 2023 (R), Paper 1 Higher, Q2 (3 marks): The diagram shows a solid triangular prism. 6 cm Diagram NOT accurately drawn 4.8 cm 7 cm 3.6 cm Work out the total surface area of the triangular prism. Give y
  43. January 2023 (R), Paper 2 Foundation, Q24 (3 marks): The diagram shows two solids, A and B, made from two different metals. Diagram NOT 3 cm accurately drawn Solid A Solid B 7 cm Solid A is in the shape of a cylin
  44. January 2023 (R), Paper 2 Higher, Q10 (3 marks): The diagram shows two solids, A and B, made from two different metals. Diagram NOT 3 cm accurately drawn Solid A Solid B 7 cm Solid A is in the shape of a cylin
  45. January 2023 (R), Paper 2 Higher, Q24 (6 marks): The diagram shows a solid cone and a solid sphere. Diagram NOT accurately drawn r l h r The cone has base radius r, slant height l and perpendicular height h Th
  46. January 2023, Paper 1 Higher, Q20 (5 marks): The radius of a right circular cylinder is x cm.   The height of the cylinder is 800 − x cm.   πx   The volume of the cylinder is V cm3 Find the maximum v
  47. January 2023, Paper 1 Higher, Q21 (5 marks): The diagram shows the cross section of a circular water pipe. Diagram NOT O accurately drawn 4.8 cm 72° A C B OABC is a sector of the circle, centre O The shade
  48. January 2023, Paper 2 Foundation, Q14 (4 marks): The diagram shows a solid prism. 8 cm Diagram NOT 6 cm accurately drawn 14 cm x cm 7.5 cm The cross section of the prism is shown shaded. The volume of the pris
  49. January 2023, Paper 2 Higher, Q21 (3 marks): Given that the surface area of a sphere is 49π cm2 find the volume of the sphere. Give your answer correct to the nearest integer. cm3
  50. June 2022 (R), Paper 1 Foundation, Q23 (3 marks): The diagram shows a solid cylinder made from iron. Diagram NOT accurately drawn 3.5 cm 18 cm The cylinder has diameter 18 cm and height 3.5 cm The mass of the c
  51. June 2022 (R), Paper 1 Higher, Q7 (3 marks): The diagram shows a solid cylinder made from iron. Diagram NOT accurately drawn 3.5 cm 18 cm The cylinder has diameter 18 cm and height 3.5 cm The mass of the c
  52. June 2022 (R), Paper 2 Foundation, Q4 (3 marks): Here are two sides of a parallelogram. (a) On the grid above, complete the parallelogram. The diagram shows a 3‑D shape. (b) (i) What is the mathematical name o
  53. June 2022 (R), Paper 2 Higher, Q24 (6 marks): The diagram shows a frustum of a cone, and a sphere. The frustum, shown shaded in the diagram, is made by removing the small cone from the large cone. The small
  54. June 2022, Paper 1 Higher, Q22 (5 marks): A solid is made from a cone and a hemisphere. 20 cm Diagram NOT accurately drawn The circular plane face of the hemisphere coincides with the circular base of t
  55. January 2022 (R), Paper 1 Foundation, Q24 (6 marks): Jonty has a storage container in the shape of a cuboid, as shown in the diagram. Diagram NOT accurately drawn 3 m 12 m 2.5 m Jonty is going to paint the outside
  56. January 2022 (R), Paper 1 Higher, Q10 (6 marks): Jonty has a storage container in the shape of a cuboid, as shown in the diagram. Diagram NOT accurately drawn 3 m 12 m 2.5 m Jonty is going to paint the outside
  57. January 2022 (R), Paper 2 Foundation, Q3 (2 marks): (a) Write down the mathematical name of this 3-D shape. Here is a solid prism. (b) How many edges has the prism?
  58. January 2022 (R), Paper 2 Foundation, Q13 (3 marks): The diagram shows a solid wooden cuboid. 45 cm Diagram NOT accurately drawn 35 cm 65 cm The cuboid measures 65 cm by 35 cm by 45 cm. A machine cuts the cuboid t
  59. January 2022 (R), Paper 2 Higher, Q21 (6 marks): The diagram shows a solid made from a cylinder and a hemisphere. The cylinder and the hemisphere are both made from the same metal. Diagram NOT x cm accurately
  60. January 2022, Paper 2 Foundation, Q12 (5 marks): The diagram shows a box B and a carton C Diagram NOT accurately drawn 24 cm 8 cm B C 8 cm 20 cm 8 cm 60 cm The box B is in the shape of a cuboid. Each carton C
  61. November 2021, Paper 1 Foundation, Q22 (5 marks): A solid aluminium cylinder has radius 10 cm and height h cm. Diagram NOT 10 cm accurately drawn h cm The mass of the cylinder is 5.4 kg. The density of aluminiu
  62. November 2021, Paper 1 Higher, Q10 (5 marks): A solid aluminium cylinder has radius 10 cm and height h cm. Diagram NOT 10 cm accurately drawn h cm The mass of the cylinder is 5.4 kg. The density of aluminiu
  63. November 2021, Paper 2 Foundation, Q9 (2 marks): The diagram shows a cuboid. Diagram NOT accurately drawn 9 cm 6 cm 12 cm Work out the volume of the cuboid. cm3
  64. November 2021, Paper 2 Higher, Q22 (6 marks): The diagram shows a sphere of diameter x cm and a pyramid ABCDE with a horizontal rectangular base BCDE. A Diagram NOT accurately drawn 5x cm x cm E D 2x cm O B
  65. June 2021, Paper 2 Foundation, Q2 (5 marks): (a) Write down the order of rotational symmetry of a square. x (b) (i) Measure the size of the angle marked x. ° (ii) Write down the mathematical name of this t
  66. June 2021, Paper 2 Foundation, Q24 (5 marks): Here is a triangular prism. Diagram NOT 11.2 cm accurately drawn 15 cm 7.4 cm Work out the volume of the prism. Give your answer correct to 3 significant figure
  67. June 2021, Paper 2 Higher, Q10 (5 marks): Here is a triangular prism. Diagram NOT 11.2 cm accurately drawn 15 cm 7.4 cm Work out the volume of the prism. Give your answer correct to 3 significant figure
  68. January 2021 (R), Paper 1 Foundation, Q20 (4 marks): The diagram shows a cuboid and a cylinder. Diagram NOT accurately drawn x cm 2x cm x cm 5 cm 12 cm The dimensions of the cuboid are x cm by 12 cm by 5 cm. The v
  69. January 2021 (R), Paper 1 Higher, Q5 (4 marks): The diagram shows a cuboid and a cylinder. Diagram NOT accurately drawn x cm 2x cm x cm 5 cm 12 cm The dimensions of the cuboid are x cm by 12 cm by 5 cm. The v
  70. January 2021 (R), Paper 2 Foundation, Q4 (7 marks): Here are three 3D shapes, A, B and C. (a) Write down the mathematical name for each of these 3D shapes. A B C (i) (ii) (iii) (b) (i) How many faces does shape C
  71. January 2021, Paper 1 Foundation, Q19 (4 marks): The diagram shows a container for water in the shape of a prism. Diagram NOT 30 cm accurately drawn 20 cm 40 cm 60 cm 125 cm 85 cm The rectangular base of the p
  72. January 2021, Paper 1 Higher, Q3 (4 marks): The diagram shows a container for water in the shape of a prism. Diagram NOT 30 cm accurately drawn 20 cm 40 cm 60 cm 125 cm 85 cm The rectangular base of the p
  73. January 2021, Paper 1 Higher, Q17 (5 marks): A solid, S, is made from a hemisphere and a cylinder. The centre of the circular face of the hemisphere and the centre of the top face of the cylinder are at th
  74. January 2021, Paper 2 Foundation, Q6 (4 marks): The diagram shows a solid prism. (a) How many vertices has the prism? (b) How many faces has the prism? (c) Using ruler and compasses only, in the space below c
  75. January 2021, Paper 2 Foundation, Q14 (5 marks): The diagram shows a trapezium. Diagram NOT 13.5 cm accurately drawn 10.4 cm 17 cm (a) Work out the area of the trapezium. cm 2 The diagram shows a cuboid. Diagr
  76. January 2021, Paper 2 Higher, Q17 (7 marks): The diagram shows a solid prism ABCDEFGH. 28 cm G F Diagram NOT accurately drawn B C H 20 cm E 24 cm A 37 cm D The trapezium ABCD, in which AD is parallel to BC
  77. November 2020 (R), Paper 1 Foundation, Q9 (3 marks): A box is to be filled with cartons. Diagram NOT accurately drawn 4 cm carton 40 cm 4 cm 4 cm box 48 cm 60 cm Each carton is a cube that measures 4 cm by 4 cm by
  78. November 2020 (R), Paper 1 Higher, Q17 (6 marks): The diagram shows a prism ABCDEFGH with a horizontal base. B 15 cm A Diagram NOT C accurately drawn D 10 cm G H 12 cm F 12 cm E The base of the prism, EFGH, is
  79. November 2020 (R), Paper 2 Foundation, Q2 (3 marks): The diagram shows some 3‑D shapes. Shape A Shape B Shape C (a) What is the mathematical name of shape A? (b) How many edges has shape B? (c) How many faces has
  80. November 2020 (R), Paper 2 Higher, Q15 (5 marks): Platinum nuggets are in the shape of a solid cylinder. Diagram NOT 2.5 cm accurately drawn 15 cm The radius of each cylinder is 2.5 cm. The length of each cylin
  81. November 2020, Paper 1 Foundation, Q3 (5 marks): (a) Write down the mathematical name of this 3-D shape. Here is a solid cuboid. Diagram NOT accurately drawn 11 cm 8 cm 20 cm (b) (i) How many faces has the cub
  82. November 2020, Paper 2 Foundation, Q24 (5 marks): The diagram shows a solid cylinder with radius 3 m. 3 m Diagram NOT accurately drawn The volume of the cylinder is 72π m3 Calculate the total surface area of th
  83. November 2020, Paper 2 Higher, Q9 (5 marks): The diagram shows a solid cylinder with radius 3 m. 3 m Diagram NOT accurately drawn The volume of the cylinder is 72π m3 Calculate the total surface area of th
  84. November 2020, Paper 2 Higher, Q18 (5 marks): The diagram shows cuboid ABCDEFGH. E F Diagram NOT accurately drawn H G 4 cm C D A B 5 cm AB = 5 cm AH = 4 cm The size of the angle between CH and the plane ABC
  85. January 2020 (R), Paper 1 Foundation, Q3 (4 marks): (a) On the grid below, draw a kite. (b) Write down the mathematical name of an 8-sided polygon. Here is a solid prism. (c) (i) Write down the mathematical name
  86. January 2020 (R), Paper 1 Foundation, Q23 (5 marks): Pablo made a solid gold statue. He melted down some gold blocks and used the gold to make the statue. Each block of gold was a cuboid, as shown below. Diagram N
  87. January 2020 (R), Paper 1 Higher, Q9 (5 marks): Pablo made a solid gold statue. He melted down some gold blocks and used the gold to make the statue. Each block of gold was a cuboid, as shown below. Diagram N
  88. January 2020 (R), Paper 1 Higher, Q20 (5 marks): The diagram shows a frustum of a cone and a sphere. The frustum is made by removing a small cone from a large cone. The cones are similar. Diagram NOT accuratel
  89. January 2020 (R), Paper 2 Higher, Q13 (3 marks): G F Diagram NOT accurately drawn 7 cm B C H h cm E 10 cm A 12 cm D The diagram shows a prism ABCDEFGH in which ABCD is a trapezium with BC parallel to AD and CD
  90. January 2020, Paper 1 Higher, Q13 (4 marks): The diagram shows a solid cube. The cube is placed on a table so that the whole of one face of the cube is in contact with the table. Diagram NOT w cm accuratel
  91. January 2020, Paper 1 Higher, Q15 (8 marks): Diagram NOT accurately drawn (x + 1) cm (3 − x) cm (2x + 5) cm The diagram shows a cuboid of volume V cm3 (a) Show that V = 15 + 16x − x2 − 2x3 There is a value
  92. January 2020, Paper 2 Foundation, Q6 (3 marks): (a) Write down the mathematical name of this 3‑D shape. 1 cm 2 cm 4 cm B (b) A Measure the length of AB. cm Here are six shapes. A B C D E F Two of these shapes
  93. January 2020, Paper 2 Foundation, Q18 (2 marks): Change 32.4 m3 into cm3 cm3
  94. January 2020, Paper 2 Higher, Q2 (2 marks): Change 32.4 m3 into cm3 cm3
  95. January 2020, Paper 2 Higher, Q26 (6 marks): Here is a sector, AOB, of a circle with centre O and angle AOB = x° O Diagram NOT x° accurately drawn A B The sector can form the curved surface of a cone by jo
  96. June 2019 (R), Paper 1 Foundation, Q15 (3 marks): The diagram shows a cylinder. Diagram NOT accurately drawn 8.2 cm 10 cm The cylinder has radius 8.2 cm and height 10 cm. The cylinder is empty. Pam pours 1.5 li
  97. June 2019 (R), Paper 1 Higher, Q1 (3 marks): The diagram shows a cylinder. Diagram NOT accurately drawn 8.2 cm 10 cm The cylinder has radius 8.2 cm and height 10 cm. The cylinder is empty. Pam pours 1.5 li
  98. June 2019 (R), Paper 2 Foundation, Q11 (4 marks): Karl has 5700 bricks. He wants to put all the bricks into crates. Diagram NOT accurately drawn 75 cm 15cm 3 cm 9cm 36 cm 72 cm Each brick is a cuboid measuring
  99. June 2019 (R), Paper 2 Higher, Q23 (6 marks): The diagram shows a solid pyramid ABCDE with a horizontal base. A Diagram NOT accurately drawn E D O B C 10 cm The base, BCDE, of the pyramid is a square of sid
  100. June 2019, Paper 1 Foundation, Q20 (3 marks): The diagram shows a solid cuboid made from wood. 12 cm Diagram NOT accurately drawn 8 cm 5 cm The wood has density 0.7 g/cm3 Work out the mass of the cuboid. gr
  101. June 2019, Paper 1 Higher, Q6 (3 marks): The diagram shows a solid cuboid made from wood. 12 cm Diagram NOT accurately drawn 8 cm 5 cm The wood has density 0.7 g/cm3 Work out the mass of the cuboid. gr
  102. June 2019, Paper 1 Higher, Q21 (5 marks): A solid is made from a hemisphere and a cylinder. The plane face of the hemisphere coincides with the upper plane face of the cylinder. Diagram NOT accurately d
  103. June 2019, Paper 2 Foundation, Q15 (2 marks): A cylinder has diameter 14 cm and height 20 cm. Work out the volume of the cylinder. Give your answer correct to 3 significant figures. cm
  104. June 2019, Paper 2 Higher, Q4 (2 marks): A cylinder has diameter 14 cm and height 20 cm. Work out the volume of the cylinder. Give your answer correct to 3 significant figures. cm3
  105. June 2019, Paper 2 Higher, Q18 (5 marks): The diagram shows a solid cuboid. Diagram NOT accurately drawn (12 – 3x) cm x cm x cm The total surface area of the cuboid is A cm2 Find the maximum value of A.
  106. January 2019 (R), Paper 1 Foundation, Q15 (4 marks): The diagram shows Jonah’s fish tank. Diagram NOT accurately drawn 80 cm 45 cm The fish tank is in the shape of a cuboid. Jonah wants to keep 20 fish in the fish
  107. January 2019 (R), Paper 1 Higher, Q17 (5 marks): Here are a solid sphere and a solid cylinder. Diagram NOT rcm accurately drawn rcm 2rcm The radius of the sphere is rcm. The radius of the cylinder is rcm. The
  108. January 2019 (R), Paper 2 Foundation, Q16 (4 marks): The diagram shows two solid toy bricks, Brick A and Brick B. 6 cm Diagram NOT accurately drawn 5 cm 6 cm 5 cm 6 cm Brick A Brick B Brick A is a triangular prism
  109. January 2019 (R), Paper 2 Higher, Q2 (4 marks): The diagram shows two solid toy bricks, Brick A and Brick B. 6 cm Diagram NOT accurately drawn 5 cm 6 cm 5 cm 6 cm Brick A Brick B Brick A is a triangular prism
  110. January 2019, Paper 1 Higher, Q15 (4 marks): The total surface area of a solid hemisphere is equal to the curved surface area of a cylinder. The radius of the hemisphere is r cm. The radius of the cylinder
  111. January 2019, Paper 2 Foundation, Q9 (4 marks): Diagram NOT accurately drawn 3 ст f 33 cm water 28cm 55 cm The tank is 55 cm long 28 cm wide 33 cm high The surface of the water in the tank is 3 cm below the t
  112. January 2019, Paper 2 Higher, Q22 (6 marks): The diagram shows a cone. V Diagram NOT accurately drawn A B AB is a diameter of the cone. V is the vertex of the cone. Given that the area of the base of the c

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