plumiArea of 2D shapes and volume of prisms: Edexcel GCSE Maths questions
Every Edexcel GCSE Maths exam question on G16 Area of 2D shapes and volume of prisms, 2017–2025, with its mark scheme and examiner’s report.
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All 30 questions on Area of 2D shapes and volume of prisms, 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, Q8 (5 marks): The diagram shows trapezium ABCD. D C 8 cm A B 12 cm AB = 12 cm AD = 8 cm The trapezium has an area of 112 cm 2 Work out the perimeter of the trapezium. Give yo
- November 2024, Paper 1H, Q8 (3 marks): The diagram shows a solid triangular prism on a horizontal floor. pressure = force area 2 m The face in contact with the floor is a rectangle of width 2 m. The
- November 2024, Paper 1H, Q13 (5 marks): Here are two cuboids. x + 2 A x + 3 B x – 1 x – 3 2x – 1 2x All lengths are measured in centimetres. The volume of cuboid A is 142 cm 3 greater than the volume
- November 2024, Paper 2H, Q7 (5 marks): The diagram shows triangle ABC. C 2x + 11 4x – 4 A B 2x + 5 In the diagram, all measurements are in centimetres. AC = BC The perimeter of the triangle is 72 cm.
- November 2024, Paper 2H, Q12 (5 marks): The diagram shows a solid cylinder with base radius 3 cm and height 8 cm. It also shows a solid cube with side length h cm. 8 cm 3 cm h cm The cylinder is made
- 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, Q3 (5 marks): The diagram shows a plan of a floor. 10 m 5 m 8 m 6 m Petra is going to cover the floor with paint. Petra has 3 tins of paint. There are 2.5 litres of paint in
- June 2024, Paper 3H, Q7 (4 marks): A paddling pool is in the shape of a cylinder. 100 cm 30 cm The pool has radius 100 cm. The pool has depth 30 cm. The pool is empty. It is then filled with wate
- November 2023, Paper 2H, Q7 (4 marks): The diagram shows an empty tank in the shape of a cylinder. 15 cm 43 cm The cylinder has radius 15 cm and height 43 cm. Water flows into the tank at a rate of 0
- June 2023, Paper 2H, Q5 (4 marks): Here is a triangle and a rectangle. 6x 4x – 1 5 8 All measurements are in centimetres. 2 greater than the area of the rectangle. The area of the triangle is 10
- June 2023, Paper 2H, Q24 (5 marks): The diagram shows 8 identical regular octagons joined to enclose a shaded shape. Each octagon has sides of length a. Find, in terms of a, an expression for the
- 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
- November 2022, Paper 3H, Q4 (4 marks): Karina has 4 tanks on her tractor. Each tank is a cylinder with diameter 80 cm and height 160 cm. 80 cm 160 cm The 4 tanks are to be filled completely with a mi
- June 2022, Paper 1H, Q7 (3 marks): Here are two cubes, A and B. 4 cm 3 cm A B Cube A has a mass of 81 g. Cube B has a mass of 128 g. Work out the density of cube A : the density of cube B Give yo
- June 2022, Paper 3H, Q7 (3 marks): The diagram shows rectangle STUV. TQU and SRV are straight lines. All measurements are in cm. 2x Q U T 4x S R V 3x 5 The area of trapezium QUVR is A cm2 Show th
- November 2021, Paper 1H, Q6 (3 marks): The diagram shows a prism. 25 cm 5 cm The cross section of the prism is a right‑angled triangle. The base of the triangle has length 5 cm The prism has length 2
- November 2021, Paper 1H, Q18 (5 marks): Here is trapezium ABCD. A B 6 cm 30° D C The area of the trapezium is 66 cm2 the length of AB : the length of CD = 2 : 3 Find the length of AB. cm
- November 2020, Paper 3H, Q9 (5 marks): The diagram shows a prism. 40° 12 cm 20 cm 10 cm The cross section of the prism has exactly one line of symmetry. Work out the volume of the prism. Give your an
- November 2019, Paper 2H, Q9 (5 marks): The diagram shows a cube and a cuboid. 6 cm 18 cm 8 cm The total surface area of the cube is equal to the total surface area of the cuboid. Janet says, “The vol
- November 2019, Paper 3H, Q13 (4 marks): Liquid A and liquid B are mixed together in the ratio 2 : 13 by volume to make liquid C. Liquid A has density 1.21 g/cm3 Liquid B has density 1.02 g/cm3 A cylin
- June 2019, Paper 2H, Q4 (4 marks): A container is in the shape of a cuboid. 19 cm 6 cm 30 cm The container is 2 3 full of water. A cup holds 275 ml of water. What is the greatest number of cups t
- June 2019, Paper 3H, Q14 (4 marks): The diagram shows a rectangle, ABDE, and two congruent triangles, AFE and BCD. A B 30° 30° 24 cm 24 cm F C E D area of rectangle ABDE area of triangle AFE are
- 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, Q5 (5 marks): The diagram shows a floor in the shape of a trapezium. 10 m 7 m 5 litres 16 m £16.99 John is going to paint the floor. Each 5 litre tin of paint costs £16.99 1
- November 2018, Paper 3H, Q8 (5 marks): The diagram shows a solid metal cuboid. The areas of three of the faces are marked on the diagram. The lengths, in cm, of the edges of the cuboid are whole numb
- June 2018, Paper 3H, Q3 (2 marks): Here is a trapezium drawn on a centimetre grid. On the grid, draw a triangle equal in area to this trapezium.
- November 2017, Paper 1H, Q23 (5 marks): Here is a rectangle and a right-angled triangle. 3x – 2 2x x – 1 x All measurements are in centimetres. The area of the rectangle is greater than the area of th
- November 2017, Paper 3H, Q6 (5 marks): Here is a rectangle. The length of the rectangle is 7 cm longer than the width of the rectangle. 4 of these rectangles are used to make this 8-sided shape. The
- June 2017, Paper 2H, Q21 (4 marks): The diagram shows 3 identical circles inside a rectangle. Each circle touches the other two circles and the sides of the rectangle, as shown in the diagram. The
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