Skip to content
Try on iPad

Surface area and volume: CAIE IGCSE Maths questions

Every CAIE IGCSE Maths exam question on 5.4 Surface area and volume, June 2024 and the specimen papers, with its mark scheme and examiner’s report.

Find questions228

228 questions

  1. Q10

    June 2024 · Paper 1

    4 marks5.4 Surface area and volume2.5 Equations
    The whole paper ↗
    June 2024 Paper 1, question 10: NOT TO hcm SCALE 6cm 15cm The total surface area of this cuboid is 369 cm2. Work out the value of h. h = [4]

  2. Q7

    June 2024 · Paper 4

    15 marks5.4 Surface area and volume1.12 Rates
    The whole paper ↗
    June 2024 Paper 4, question 7: (a) NOT TO SCALE 40cm 30cm 70cm The diagram shows a box in the shape of a cuboid. The box is open at the top. (i) Work out the surface area of the inside of the

  3. Q16

    June 2024 (0980) · Paper 1

    5 marks5.3 Circles, arcs and sectors5.4 Surface area and volume
    The whole paper ↗
    June 2024 (0980) Paper 1, question 16: A circle has an area of 36 cm 2 . r (a) Find the circumference of the circle. Give your answer in terms of r. cm [3] (b) The circle forms the base of a cylinder

  4. Q8

    June 2024 (0980) · Paper 3

    10 marks5.5 Compound shapes and parts of shapes5.2 Area and perimeter
    The whole paper ↗
    June 2024 (0980) Paper 3, question 8: B 3.6m A NOT TO SCALE 4.7m E F 1.7m C D 5.5m The diagram shows a plan, ABCDE, of the floor of a room in Jo’s house. F is a point inside the room. (a) (i) Show t

  5. Q4

    June 2024 (0980) · Paper 4

    15 marks5.5 Compound shapes and parts of shapes5.4 Surface area and volume
    The whole paper ↗
    June 2024 (0980) Paper 4, question 4: (a) NOT TO SCALE 12cm 1m The diagram shows a tank in the shape of a half-cylinder of radius 12 cm and length 1 metre. The tank is fixed horizontally and is comp

  6. Q9

    June 2024 (0980) · Paper 4

    10 marks5.3 Circles, arcs and sectors5.4 Surface area and volume
    The whole paper ↗
    June 2024 (0980) Paper 4, question 9: (a) O NOT TO 60° 10cm SCALE 17cm D C A B OAB is a sector of a circle, centre O, radius 17 cm. OCD is a sector of a circle, centre O, radius 10 cm. OCA and ODB a

  7. Q14

    Specimen · Paper 3

    9 marks5.4 Surface area and volume2.2 Algebraic manipulation
    The whole paper ↗
    Specimen Paper 3, question 14: (a) 6cm 4cm NOT TO SCALE 5cm The diagram shows the net of a cuboid. (i) Find the volume of the cuboid. cm3 [2] (ii) Show that the total surface area of the cubo

  8. Q15

    Specimen · Paper 3

    4 marks5.4 Surface area and volume
    The whole paper ↗
    Specimen Paper 3, question 15: A sphere has a surface area of 177 cm2. (a) Calculate the radius of the sphere. cm [2] (b) Calculate the volume of the sphere. cm3 [2]

  9. Q6

    Specimen · Paper 4

    4 marks5.4 Surface area and volume
    The whole paper ↗
    Specimen Paper 4, question 6: A solid metal cuboid has a volume of 600 cm3. (a) The base of the cuboid is 10 cm by 12 cm. Calculate the height of the cuboid. cm [2] (b) The solid metal cuboi

  10. Q19

    Specimen · Paper 4

    4 marks5.4 Surface area and volume6.5 Non-right-angled triangles
    The whole paper ↗
    Specimen Paper 4, question 19: The cross-section of a prism is an equilateral triangle of side 6 cm. The length of the prism is 20 cm. Calculate the total surface area of the prism. cm2 [4]
All 10 questions on Surface area and volume, as a list
  1. June 2024, Paper 1, Q10 (4 marks): NOT TO hcm SCALE 6cm 15cm The total surface area of this cuboid is 369 cm2. Work out the value of h. h = [4]
  2. June 2024, Paper 4, Q7 (15 marks): (a) NOT TO SCALE 40cm 30cm 70cm The diagram shows a box in the shape of a cuboid. The box is open at the top. (i) Work out the surface area of the inside of the
  3. June 2024 (0980), Paper 1, Q16 (5 marks): A circle has an area of 36 cm 2 . r (a) Find the circumference of the circle. Give your answer in terms of r. cm [3] (b) The circle forms the base of a cylinder
  4. June 2024 (0980), Paper 3, Q8 (10 marks): B 3.6m A NOT TO SCALE 4.7m E F 1.7m C D 5.5m The diagram shows a plan, ABCDE, of the floor of a room in Jo’s house. F is a point inside the room. (a) (i) Show t
  5. June 2024 (0980), Paper 4, Q4 (15 marks): (a) NOT TO SCALE 12cm 1m The diagram shows a tank in the shape of a half-cylinder of radius 12 cm and length 1 metre. The tank is fixed horizontally and is comp
  6. June 2024 (0980), Paper 4, Q9 (10 marks): (a) O NOT TO 60° 10cm SCALE 17cm D C A B OAB is a sector of a circle, centre O, radius 17 cm. OCD is a sector of a circle, centre O, radius 10 cm. OCA and ODB a
  7. Specimen, Paper 3, Q14 (9 marks): (a) 6cm 4cm NOT TO SCALE 5cm The diagram shows the net of a cuboid. (i) Find the volume of the cuboid. cm3 [2] (ii) Show that the total surface area of the cubo
  8. Specimen, Paper 3, Q15 (4 marks): A sphere has a surface area of 177 cm2. (a) Calculate the radius of the sphere. cm [2] (b) Calculate the volume of the sphere. cm3 [2]
  9. Specimen, Paper 4, Q6 (4 marks): A solid metal cuboid has a volume of 600 cm3. (a) The base of the cuboid is 10 cm by 12 cm. Calculate the height of the cuboid. cm [2] (b) The solid metal cuboi
  10. Specimen, Paper 4, Q19 (4 marks): The cross-section of a prism is an equilateral triangle of side 6 cm. The length of the prism is 20 cm. Calculate the total surface area of the prism. cm2 [4]

Questions, mark schemes and examiner’s reports are © Cambridge University Press & Assessment, from their published past papers. Plumi isn’t affiliated with any exam board. Want whole papers? Every CAIE IGCSE Maths paper.

Rather write your answers by hand on iPad? Plumi marks them against the same mark schemes.