plumiSimilarity: Edexcel International GCSE Maths questions
Every Edexcel International GCSE Maths exam question on 4.11 Similarity, 2019–2025, with its mark scheme and examiner’s report.
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All 43 questions on Similarity, as a list
- June 2025 (R), Paper 1 Higher, Q26 (4 marks): R, S and T are three similar vases. Diagram NOT accurately drawn R S T The volume of vase S is 72.8% more than the volume of vase R The height of vase R is h cm
- June 2025, Paper 2 Foundation, Q22 (4 marks): The diagram shows two similar quadrilaterals, ABCD and EFGH G 10 cm C 4 cm Diagram NOT F B accurately drawn y cm 5 cm 24 cm x cm A D E H AB = 5 cm BC = 4 cm CD
- June 2025, Paper 2 Higher, Q5 (4 marks): The diagram shows two similar quadrilaterals, ABCD and EFGH G 10 cm 4 cm C Diagram NOT F B accurately drawn y cm 5 cm 24 cm x cm A D E H AB = 5 cm BC = 4 cm CD
- 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
- November 2024, Paper 1 Foundation, Q27 (5 marks): Here are two similar triangles. E B Diagrams NOT accurately drawn 7 5. cm 51cm A C x cm D F 24 cm Work out the value of x Show your working clearly. x =
- November 2024, Paper 1 Higher, Q10 (5 marks): Here are two similar triangles. E B Diagrams NOT accurately drawn 7 5. cm 51cm A C x cm D F 24 cm Work out the value of x Show your working clearly. x =
- June 2024 (R), Paper 1 Higher, Q18 (4 marks): The diagram shows two similar vases, A and B Diagram NOT accurately drawn 30 cm 12 cm A B The height of vase A is 30 cm The height of vase B is 12 cm Given that
- June 2024 (R), Paper 2 Higher, Q12 (4 marks): A Diagram NOT accurately drawn 10 cm B E C D In the diagram, ABC and AED are straight lines. BE is parallel to CD AE = 10 cm and CD = 1.5 × BE (a) Work out the
- November 2023, Paper 1 Higher, Q23 (5 marks): Solid A is similar to solid B Here is some information about solid A and solid B solid A solid B Height (cm) 3x Area (cm2) 7776 486 Volume (cm3) 8x 2x+4 Work ou
- 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
- June 2023 (R), Paper 1 Foundation, Q19 (4 marks): ABCD and EFGH are similar quadrilaterals. B Diagram NOT accurately drawn F 5.7 cm 9.6 cm C 6 cm G 4 cm A D E H (a) Work out the length of GH cm (b) Work out the
- June 2023 (R), Paper 1 Higher, Q3 (4 marks): ABCD and EFGH are similar quadrilaterals. B Diagram NOT accurately drawn F 5.7 cm 9.6 cm C 6 cm G 4 cm A D E H (a) Work out the length of GH cm (b) Work out the
- 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
- 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
- January 2023 (R), Paper 2 Higher, Q18 (3 marks): A statue and a model of the statue are mathematically similar. The statue has a total surface area of 3600 cm2 The model has a total surface area of 625 cm2 The
- January 2023, Paper 2 Higher, Q19 (4 marks): A and B are two similar vases. Diagram NOT accurately drawn A B The vases are such that 25 B A surface area of vase = 64 × surface area of vase and that volume
- June 2022 (R), Paper 1 Higher, Q20 (4 marks): The diagram shows two similar metal statues. Diagram NOT accurately drawn A B The volume of statue B is 20% less than the volume of statue A The surface area of
- June 2022 (R), Paper 2 Higher, Q12 (3 marks): A B Diagram NOT 1.2 cm 2x cm accurately drawn C (2x + 9) cm 6 cm D E ACE and BCD are straight lines. AB is parallel to DE Work out the value of x x =
- 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
- June 2022, Paper 2 Foundation, Q2 (5 marks): Here are seven shapes on a centimetre grid. A C B D E F G (a) Write down the letters of the two shapes that are congruent. and Two of the seven shapes are simil
- January 2022 (R), Paper 1 Higher, Q18 (4 marks): The three solids A, B and C are similar such that the surface area of A : the surface area of B = 4 : 9 and the volume of B : the volume of C = 125 : 343 Work o
- January 2022, Paper 1 Higher, Q17 (4 marks): A and B are two similar vases. Diagram NOT accurately drawn 10 cm 15 cm A B Vase A has height 10 cm. Vase B has height 15 cm. The difference between the volume
- January 2022, Paper 2 Foundation, Q18 (3 marks): R Diagram NOT C accurately drawn x cm 16.5 cm y cm B 4 cm Q A 12 cm P Triangle ABC is similar to triangle PQR AB = 4 cm PQ = 12 cm RQ = 16.5 cm AC = x cm PR = y
- January 2022, Paper 2 Higher, Q3 (3 marks): R Diagram NOT C accurately drawn x cm 16.5 cm y cm B 4 cm Q A 12 cm P Triangle ABC is similar to triangle PQR AB = 4 cm PQ = 12 cm RQ = 16.5 cm AC = x cm PR = y
- November 2021, Paper 2 Foundation, Q20 (4 marks): ABC and DEF are similar triangles. B E Diagram NOT accurately drawn 36 cm A C D F 45 cm 20 cm (a) Work out the length of AB. cm Given that BC = 54 cm, (b) work
- November 2021, Paper 2 Higher, Q4 (4 marks): ABC and DEF are similar triangles. B E Diagram NOT accurately drawn 36 cm A C D F 45 cm 20 cm (a) Work out the length of AB. cm Given that BC = 54 cm, (b) work
- June 2021, Paper 2 Higher, Q20 (3 marks): Mathematically similar wooden blocks are made in a workshop. There are small blocks and there are large blocks. The volume of each small block is 300 cm3 Given
- January 2021, Paper 1 Higher, Q20 (3 marks): A and B are two similar solids. Diagram NOT accurately drawn A B A has a volume of 1836 cm 3 B has a volume of 4352 cm 3 B has a total surface area of 1120 cm 2
- November 2020 (R), Paper 1 Foundation, Q3 (4 marks): The diagram shows five shaded shapes on a grid of squares. A B C D E Two of the shapes are congruent. (a) Write down the letters of these shapes. and (b) On the
- November 2020, Paper 1 Foundation, Q4 (4 marks): Here is a polygon with five sides. x (a) Write down the mathematical name of a polygon with five sides. (b) Measure the size of the angle marked x. ° Two sides
- November 2020, Paper 1 Higher, Q20 (3 marks): R and S are two similar solid shapes. Shape R has surface area 108 cm2 and volume 135 cm3 Shape S has surface area 300 cm2 Work out the volume of shape S. cm3
- 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
- January 2020 (R), Paper 2 Higher, Q20 (4 marks): The diagram shows two similar vases, A and B. Diagram NOT accurately drawn 13 cm 9 cm A B The height of vase A is 9 cm and the height of vase B is 13 cm. Given
- June 2019 (R), Paper 2 Foundation, Q20 (4 marks): ABC and DEF are similar triangles. D Diagram NOT 12 cm accurately drawn B 16cm E 40 cm F (a) Work out the length of DE. The area of triangle DEF is 525 cm? (b)
- June 2019 (R), Paper 2 Higher, Q4 (4 marks): ABC and DEF are similar triangles. D A Diagram NOT 12 cm accurately drawn B 16 cm E C 40 cm F (a) Work out the length of DE. cm The area of triangle DEF is 525
- June 2019 (R), Paper 2 Higher, Q21 (3 marks): The diagram shows two similar bottles, A and B. Diagram NOT accurately drawn A B Bottle A has surface area 240 cm2 Bottle B has surface area 540 cm2 and volume
- June 2019, Paper 1 Higher, Q17 (4 marks): A and B are two similar vases. Diagram NOT accurately drawn A B Vase A has height 24 cm. Vase B has height 36 cm. Vase A has a surface area of 960 cm2 (a) Work
- June 2019, Paper 2 Foundation, Q17 (4 marks): ABC and DEF are similar triangles. E Diagram NOT accurately drawn 19.5 cm 6cm 15 cm A C 4.2cm (a) Work out the length of DF. (b) Work out the length of BC. cm
- June 2019, Paper 2 Higher, Q6 (4 marks): ABC and DEF are similar triangles. E Diagram NOT accurately drawn B 19.5 cm 6 cm 15 cm A C 4.2 cm D F (a) Work out the length of DF. cm (b) Work out the length
- January 2019 (R), Paper 1 Foundation, Q22 (3 marks): The diagram shows two water towers in Kuwait. Diagram NOT accurately drawn 187m 147m A B The real height of tower A is 187m. The real height of tower B is 147m.
- January 2019 (R), Paper 1 Higher, Q7 (3 marks): The diagram shows two water towers in Kuwait. Diagram NOT accurately drawn 187m 147m A The real height of tower A is 187m. The real height of tower B is 147m. A
- January 2019, Paper 1 Foundation, Q20 (3 marks): 8 cm A B Diagram NOT 4.8 cm 6.4 cm accurately drawn C D E 20 cm AB is parallel to ED. ACD and BCE are straight lines. AB = 8 cm AC = 4.8 cm BC = 6.4 cm ED = 20
- January 2019, Paper 2 Higher, Q16 (3 marks): The diagram shows two mathematically similar vases, A and B. Diagram NOT accurately drawn A B A has a volume of 405 cm3 B has a volume of 960 cm3 B has a surfac
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