plumiSimilar shapes: AQA GCSE Maths questions
Every AQA GCSE Maths exam question on G19 Similar shapes, 2017–2025, with its mark scheme and examiner’s report.
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All 22 questions on Similar shapes, as a list
- June 2025, Paper 3H, Q24 (4 marks): Triangles ABC and DEF are similar. The area of ABC is 26.355 cm2 Work out the area of DEF. Not drawn accurately Answer cm2
- November 2024, Paper 2H, Q19 (5 marks): A phone screen is similar to a tablet screen. The area of the tablet screen is 420 cm2 A screen costs £7000 per square metre. Work out the cost of a screen for
- November 2023, Paper 2H, Q25 (4 marks): Here are two square-based paving stones. The stones are similar solids. The price per cm3 is the same for both stones. The price of the larger stone is £17.50 W
- June 2023, Paper 1H, Q15 (4 marks): ABCD is a trapezium. All four sides are different lengths. AB is parallel to CD. The diagonals intersect at X. Not drawn accurately For each statement, tick the
- June 2023, Paper 2H, Q12 (2 marks): Show that these two rectangles are similar. Not drawn accurately
- November 2022, Paper 2H, Q13 (5 marks): Trapezium DEFG is formed by joining triangle DEH to rectangle EFGH. ABC is similar to DEH. Work out the area of DEFG. Not drawn accurately Answer cm2
- November 2021, Paper 3H, Q26 (3 marks): Here are two similar cones. The surface area of cone A is 2 m2 The surface area of cone B is 4.5 m2 Work out the ratio radius of cone A : radius of cone B Give
- November 2020, Paper 1H, Q27 (2 marks): A and B are similar solid cylinders. Complete these ratios. curved surface area of A : curved surface area of B = : height of A : height of B = : base area of A
- November 2020, Paper 3H, Q9 (2 marks): These two triangles are similar. Not drawn accurately Work out the value of a. Answer cm
- November 2019, Paper 2H, Q23 (4 marks): Here are three similar cuboids, A, B and C. A has length 5 cm, width 2 cm and height 3 cm B has length 10 cm C has length x cm 23 (a) The total surface area of
- June 2019, Paper 1H, Q1 (1 mark): Here are two right-angled triangles. Circle the value of y. 11 7.5 9 4 Not drawn accurately 2
- June 2019, Paper 2H, Q23 (1 mark): A and B are similar cuboids. surface area of A : surface area of B = 16 : 25 Work out volume of A : volume of B Circle your answer. 4 : 5 16 : 25 64 : 125 256 :
- November 2018, Paper 1H, Q23 (5 marks): Prisms A and B are similar. The cross sections are shaded. Prism A Prism B volume = 480 cm3 length = 30 cm area of the cross section of A : area of the cross se
- November 2018, Paper 3H, Q23 (5 marks): The diagram shows the side view of a step ladder with a horizontal strut of length 48 cm The strut is one third of the way up the ladder. The symmetrical cross
- June 2018, Paper 2H, Q23 (3 marks): Solids X and Y are similar. X has volume 64 cm3 Y has volume 343 cm3 The surface area of X is 176 cm2 Work out the surface area of Y. Answer cm2
- June 2018, Paper 3H, Q6 (3 marks): A and B are similar shapes. B is an enlargement of A with scale factor 1.5 A B Work out the values of x, h and w. Not drawn accurately x = degrees h = cm w = cm
- November 2017, Paper 1H, Q17 (1 mark): A and B are similar solids. Solid length (cm) A l B 2l Alex says, ‘‘The volume of B is double the volume of A because the length of B is double the length of A.
- June 2017, Paper 1H, Q22 (1 mark): PRT and QRS are similar triangles. Not drawn accurately Which of these is equivalent to PR QR ? Circle your answer. ST RS PT QS QS PT RS RT
- June 2017, Paper 1H, Q28 (4 marks): Volume of cone = 3 1 πr2h where r is the radius and h is the perpendicular height. A cone has a horizontal base of radius 5 cm height of 15 cm The cone contains
- Specimen, Paper 1H, Q22 (2 marks): Steph is solving a problem. Cube A has a surface area of 150 cm2 Cube B has sides half the length of cube A What is the volume of cube B? To solve this problem,
- Specimen, Paper 2H, Q14 (7 marks): (a) A pattern is made from two similar trapeziums. 18 cm 25 cm 10 cm 4 cm Not drawn accurately Show that the shaded area is 294 cm2 14 (b) The pattern has one l
- Specimen, Paper 2H, Q26 (4 marks): Two boxes are made with card. The boxes are similar cuboids. The smaller box has height 32 cm 32 cm h It takes 44% more card to make the larger box. Work out th
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