plumiCircles, surface area and volume: Edexcel GCSE Maths questions
Every Edexcel GCSE Maths exam question on G17 Circles, surface area and volume, 2017–2025, with its mark scheme and examiner’s report.
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All 35 questions on Circles, surface area and volume, as a list
- June 2025, Paper 2H, Q3 (5 marks): Here is a plan of part of Macsen’s garden. There is a circle inside a triangle. The circle has a diameter of 7 m. 14 m 7 m 16 m Macsen will cover the shaded are
- June 2025, Paper 3H, Q16 (4 marks): The diagram shows a solid shape made from a cylinder and a cone. Volume of cone = 1 h 3 πr 2h r 8 cm The cone has a base radius of 8 cm. The cylinder has a radi
- November 2024, Paper 3H, Q19 (4 marks): The diagram shows a cone. l Curved surface h area of cone = πrl r The radius of the base of the cone is 3 4 of the height of the cone. The total surface area of
- June 2024, Paper 1H, Q21 (5 marks): A solid cuboid has a volume of 300 cm 3 The cuboid has a total surface area of 370 cm 2 The length of the cuboid is 20 cm. The width of the cuboid is greater th
- June 2024, Paper 3H, Q9 (3 marks): The diagram shows a cube and a square-based pyramid. h cm 6 cm 8 cm 6 cm 6 cm 8 cm The volume of the cube is equal to the volume of the pyramid. Work out the pe
- June 2024, Paper 3H, Q21 (4 marks): The diagram shows a circle, radius r cm and two regular hexagons. A P F B U Q T R E C S D Each side of the larger hexagon ABCDEF is a tangent to the circle. Eac
- November 2023, Paper 1H, Q10 (3 marks): The circumference of a circle is 10 m. Work out the area of the circle. Give your answer in terms of π. m²
- November 2023, Paper 3H, Q8 (3 marks): The diagram shows a solid cube placed on a horizontal table. force = pressure area The pressure on the table due to the cube is 3.5 newtons/cm2 The force exerte
- November 2023, Paper 3H, Q19 (4 marks): 24 cm r Volume of sphere = 4 3 πr3 5 cm Volume of cone = 1 l h 3 πr2h r The diagram above shows a frustum F of a cone. The frustum is made by removing a cone wi
- June 2023, Paper 1H, Q3 (4 marks): A cube has a total surface area of 150 cm 2 Work out the volume of the cube. cm 3
- June 2023, Paper 1H, Q16 (4 marks): Here is a sphere. r Surface area of sphere = 4πr 2 3 8 of the surface area of this sphere is 75π cm 2 Find the diameter of the sphere. Give your answer in the f
- June 2023, Paper 2H, Q12 (4 marks): The points A, B, C and D lie on a circle, centre O. ABCD is a rectangle. 8 cm A B O 10 cm D C AB = 8 cm BC = 10 cm Work out the circumference of the circle. Giv
- June 2023, Paper 3H, Q18 (5 marks): A solid frustum is made by removing a small cone from a large cone as shown in the diagram. Curved surface area of cone = πrl 6 cm 10 cm l r 3 cm The slant heig
- November 2022, Paper 1H, Q24 (6 marks): Here is a solid sphere and a solid cone. h r r Volume of sphere = 4 Volume of cone = 1 3 πr3 3 πr2h All measurements are in cm. The volume of the sphere is equa
- November 2022, Paper 2H, Q4 (5 marks): The diagram shows a plan of Jason’s garden. ABCO and DEFO are rectangles. CDO is a right-angled triangle. AFO is a sector of a circle with centre O and angle AO
- June 2022, Paper 1H, Q9 (3 marks): A cube is placed on top of a cuboid, as shown in the diagram, to form a solid. 4 cm 5 cm 6 cm 7 cm The cube has edges of length 4 cm. The cuboid has dimensions
- June 2022, Paper 1H, Q13 (3 marks): A right-angled triangle is formed by the diameters of three semicircular regions, A, B and C as shown in the diagram. A C B Show that area of region A = area of
- June 2022, Paper 1H, Q21 (5 marks): The diagram shows three circles, each of radius 4 cm. The centres of the circles are A, B and C such that ABC is a straight line and AB = BC = 4 cm. A B C Work
- June 2022, Paper 2H, Q17 (5 marks): A solid cone is joined to a solid hemisphere to make the solid T shown below. r Volume of sphere = 4 3 πr3 y cm 7 cm Volume of cone = 1 l h 3 πr2h r The diamete
- November 2021, Paper 1H, Q7 (4 marks): The diagram shows a cube with edges of length x cm and a sphere of radius 3 cm. r 3 cm Surface area of x cm sphere = 4πr2 The surface area of the cube is equal
- November 2020, Paper 2H, Q7 (4 marks): The diagram shows a right-angled triangle and a quarter circle. C D 9 m A 6 m B The right-angled triangle ABC has angle ABC = 90° The quarter circle has centre
- November 2020, Paper 2H, Q18 (4 marks): The diagram represents a solid cone. Curved surface l h area of cone = πrl r 25 cm 10 cm 20 cm The cone has a base diameter of 20 cm and a slant height of 25 cm
- November 2019, Paper 2H, Q19 (2 marks): The diagram shows a hemisphere with diameter 8.4 cm. 8.4 cm Volume of sphere = 3 Work out the volume of the hemisphere. Give your answer correct to 3 significan
- November 2019, Paper 3H, Q23 (5 marks): The diagram shows a sector OACB of a circle with centre O. The point C is the midpoint of the arc AB. Volume of cone = 2h The diagram also shows a hollow cone w
- June 2019, Paper 1H, Q15 (4 marks): The diagram shows a solid shape. The shape is a cone on top of a hemisphere. Volume of a cone = 1 h 3 ʌU2h U 10 cm U 6 cm Volume of a sphere = 4 3 ʌU 3 The heig
- June 2019, Paper 3H, Q6 (5 marks): Jeremy has to cover 3 tanks completely with paint. 1.6 m Each tank is in the shape of a cylinder with a top and a bottom. The tank has a diameter of 1.6 m and a
- November 2018, Paper 1H, Q7 (4 marks): The diagram shows a square ABCD with sides of length 20 cm. It also shows a semicircle and an arc of a circle. D C A B 20 cm AB is the diameter of the semicircl
- November 2018, Paper 2H, Q13 (3 marks): The diagram shows a circle and an equilateral triangle. One side of the equilateral triangle is a diameter of the circle. The circle has a circumference of 44 c
- November 2018, Paper 2H, Q20 (5 marks): Here is a frustum of a cone. r 3.2 cm Volume of sphere = 4 3 ʌU3 3.2 cm l h Volume of cone = 1 3 ʌU2h 7.2 cm r The diagram shows that the frustum is made by rem
- June 2018, Paper 1H, Q5 (6 marks): Here is a solid square-based pyramid, VABCD. V 5 cm D C 4 cm M A 6 cm B Front view The base of the pyramid is a square of side 6 cm. The height of the pyramid i
- June 2018, Paper 2H, Q19 (5 marks): Shape S is one quarter of a solid sphere, centre O. Volume of sphere = 4 3 ʌU3 U O Surface area of sphere = 4ʌU2 Shape S The volume of S is 576ʌ cm3 Find the su
- November 2017, Paper 1H, Q4 (4 marks): The diagram shows a logo made from three circles. 4 cm 3 cm 3 cm O Each circle has centre O. Daisy says that exactly 1 3 of the logo is shaded. Is Daisy correct
- November 2017, Paper 2H, Q3 (3 marks): is 3 marks)
- June 2017, Paper 1H, Q15 (4 marks): A cone has a volume of 98 cm3. The radius of the cone is 5.13 cm. Volume of cone = 1 h 3 ʌU2h (a) Work out an estimate for the height of the cone. U cm John use
- June 2017, Paper 3H, Q8 (4 marks): A square, with sides of length x cm, is inside a circle. Each vertex of the square is on the circumference of the circle. The area of the circle is 49 cm2. Work
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