plumiSimilar shapes: Edexcel GCSE Maths questions
Every Edexcel GCSE Maths exam question on G19 Similar shapes, 2017–2025, with its mark scheme and examiner’s report.
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All 26 questions on Similar shapes, as a list
- June 2025, Paper 1H, Q8 (5 marks): ABC is a right-angled triangle. A 18 cm 20 cm D E B C 30 cm AEC and ADB are straight lines. ED is parallel to CB. (a) Prove that triangle ABC is similar to tria
- June 2025, Paper 2H, Q16 (5 marks): Two jars are mathematically similar. 12 cm 1350 cm3 h cm 90 cm3 (a) Work out the height, h cm, of the smaller jar. Give your answer correct to 1 decimal place.
- November 2024, Paper 1H, Q12 (4 marks): A, B and C are three solid spheres. Sphere A has a volume of 64 cm 3 Sphere B has a volume of 125 cm 3 The radius of sphere C is 50% of the radius of sphere B.
- November 2024, Paper 3H, Q13 (3 marks): ABC and AED are straight lines. BE and CD are parallel. C B D E A BE = 4.2 cm CD = 6.3 cm AC = 10.8 cm Work out the area of trapezium BCDE. cm 2
- June 2024, Paper 1H, Q19 (3 marks): A B D C ABC and DAB are similar isosceles triangles. AB = AC AD = BD BC : CD = 4 : 21 Find the ratio AB : AD
- June 2024, Paper 2H, Q17 (4 marks): L, M and P are three similar solid cylinders made from the same material. M L P L has a mass of 64 g M has a mass of 125 g 2 M has a total surface area of 144 c
- November 2023, Paper 1H, Q13 (3 marks): Solid A and solid B are similar. The ratio of the height of solid A to the height of solid B is 2 : 5 The volume of solid A is 12 cm3 Work out the volume of sol
- November 2023, Paper 3H, Q11 (3 marks): The floor plan of a house is drawn using a scale of 1 : 50 On the plan, a room in the house has a floor area of 48 cm2 Work out the real area of the floor of th
- November 2023, Paper 3H, Q15 (2 marks): The diagram shows triangle ABC and triangle AED. B 22 cm D 32 cm C A 58.4 cm E 21.6 cm Show that triangle ABC and triangle AED are similar.
- 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 2H, Q23 (3 marks): Here are three similar triangles, ABG, ACF and ADE. A G B F C E D ABCD and AGFE are straight lines. AB : BC : CD = 1 : 2 : 3 Show that area of ABG : area of BCF
- 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 2H, Q17 (4 marks): The diagram shows two similar solid triangular prisms, A and B. h cm 43.74 cm2 8.1 cm Prism A Prism B The volume of prism A is 58.806 cm3 The volume of prism B
- November 2022, Paper 3H, Q5 (4 marks): Triangle ABC and triangle DEF are similar. D A 22 cm 20 cm 5 cm B C E F 4 cm (a) Work out the length of EF. cm (b) Work out the length of AB. cm
- November 2021, Paper 2H, Q19 (3 marks): A, B and C are three spheres. The volume of sphere A is 125 cm3 The volume of sphere B is 27 cm3 The ratio of the radius of sphere B to the radius of sphere C i
- November 2021, Paper 3H, Q10 (4 marks): The diagram shows two right-angled triangles ACB and DEB. A D B C E AD = 9 cm DE = 2 cm DB = 6 cm Calculate the length of CB. Give your answer correct to 2 deci
- 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 2020, Paper 3H, Q19 (4 marks): H I B C G J A D K F E ABCDEF is a regular hexagon with sides of length x. This hexagon is enlarged, centre F, by scale factor p to give hexagon FGHIJK. Show tha
- November 2019, Paper 1H, Q17 (4 marks): A and B are two similar cylindrical containers. A B the surface area of container A : the surface area of container B = 4 : 9 Tyler fills container A with water
- November 2019, Paper 3H, Q18 (5 marks): The diagram shows triangle ABC. B 6.1cm D 3.4cm C 6.2cm A AB = 3.4 cm AC = 6.2 cm BC = 6.1 cm D is the point on BC such that size of angle DAC = size of angle B
- June 2019, Paper 2H, Q9 (4 marks): The circumference of circle B is 90% of the circumference of circle A. (a) Find the ratio of the area of circle A to the area of circle B. Square E has sides of
- November 2018, Paper 1H, Q15 (4 marks): Three solid shapes A, B and C are similar. The surface area of shape A is 4 cm2 The surface area of shape B is 25 cm2 The ratio of the volume of shape B to the
- June 2018, Paper 3H, Q13 (3 marks): Here are two similar solid shapes. A B surface area of shape A : surface area of shape B = 3 : 4 The volume of shape B is 10 cm3 Work out the volume of shape A.
- November 2017, Paper 1H, Q22 (5 marks): The two triangles in the diagram are similar. C x cm B 8 cm D 3 cm E 12 cm A There are two possible values of x. Work out each of these values. State any assump
- November 2017, Paper 3H, Q14 (3 marks): Cone A and cone B are mathematically similar. The ratio of the volume of cone A to the volume of cone B is 27 : 8 The surface area of cone A is 297 cm2 Show tha
- June 2017, Paper 2H, Q5 (4 marks): A B E D C ABC and EDC are straight lines. EA is parallel to DB. EC = 8.1 cm. DC = 5.4 cm. DB = 2.6 cm. (a) Work out the length of AE. cm AC = 6.15 cm. (b) Work
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