Printable · GCSE Foundation · ages 14-16

Properties of 3D shapes worksheet — GCSE Foundation

Fifteen questions on "properties of 3d shapes" — DfE statement G12. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.

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Properties of 3D shapes worksheet — GCSE Foundation

Maths · GCSE Foundation · G12 · Properties of 3D shapes · 15 questions

MathsUKwww.geekhero.co.uk

1.A square-based pyramid has a square base and four identical triangular sloping faces, with its apex directly above the centre of the base. How many planes of symmetry does it have?
(a)1
(b)8
(c)2
(d)4
2.A cylindrical tin has a curved surface, a flat circular base and a flat circular lid. A label is stuck around the curved surface only. How many of the tin's faces are NOT covered by the label?
(a)0
(b)4
(c)2
(d)1
3.A hexagonal prism lies on a table. A flat cut is made straight across it, at right angles to its length (so the cut is parallel to the two identical end faces). What shape is the cross-section?
(a)Pentagon
(b)Hexagon
(c)Rectangle
(d)Triangle
4.How many vertices does a cylinder have?
(a)2
(b)4
(c)1
(d)0
5.In this question, a curved surface counts as a face. How many faces does a cone have?
(a)2
(b)1
(c)3
(d)0
6.How many edges does a triangular prism have?
(a)9
(b)5
(c)6
(d)12
7.How many vertices does a square-based pyramid have?
(a)8
(b)6
(c)4
(d)5
8.How many edges does a cube have?
(a)12
(b)6
(c)8
(d)4
9.A triangular prism has two triangular end faces and three rectangular faces joining them. How many faces does it have in total?
(a)5
(b)6
(c)3
(d)9
10.A solid has one curved surface and two flat circular faces of equal size, one at each end. What is the name of this solid?
(a)Triangular prism
(b)Sphere
(c)Cone
(d)Cylinder
11.A cuboid has three different edge lengths: a length, a width and a height, all different from each other. How many rectangles make up its net in total?
(a)6
(b)5
(c)12
(d)3
12.How many faces does a cuboid have?
(a)8
(b)4
(c)6
(d)12
13.A tent is shaped like a triangular prism: two triangular end faces and three rectangular faces. One of the rectangular faces lies flat on the ground as the groundsheet. How many of the tent's faces are above the ground, not touching the ground?
(a)5
(b)4
(c)3
(d)2
14.A solid has 4 triangular faces, 4 vertices and 6 edges. What is the name of this solid?
(a)Triangular-based pyramid (tetrahedron)
(b)Square-based pyramid
(c)Cube
(d)Triangular prism
15.A cube has all of its edges the same length. How many planes of symmetry does it have?
(a)9
(b)6
(c)12
(d)3

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