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

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1.How many vertices does a cuboid have?
(a)12
(b)6
(c)4
(d)8
2.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
3.How many vertices does a cylinder have?
(a)2
(b)4
(c)1
(d)0
4.A solid has 5 faces, 9 edges and 6 vertices. Two of its faces are triangles and the other three are rectangles. Which solid is it?
(a)Triangular prism
(b)Tetrahedron
(c)Cuboid
(d)Square-based pyramid
5.In this question, a curved surface counts as a face. How many faces does a sphere have?
(a)0
(b)2
(c)1
(d)3
6.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
7.How many vertices does a square-based pyramid have?
(a)8
(b)6
(c)4
(d)5
8.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
9.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
10.A solid has two parallel, congruent polygon faces joined by flat rectangles, and its cross-section is the same shape all the way along its length. Which solid is it?
(a)A cylinder
(b)A pyramid
(c)A cone
(d)A prism
11.A student draws a net using 5 identical squares arranged in a row of four with one extra square attached to the side of one of them. Can this net be folded to make a closed cube?
(a)Yes, it folds into a cube
(b)No, it needs one more square
(c)No, it has one square too many
(d)Yes, but only if two squares overlap
12.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
13.A cylindrical drum and a cuboid box are being wrapped for a display. A shop assistant wraps only the flat faces of each item, not any curved surface. How many flat faces in total does the assistant wrap across both items?
(a)8
(b)9
(c)3
(d)6
14.A solid has 6 faces and 8 vertices. Using the formula F + V − E = 2, work out how many edges it has.
(a)14
(b)10
(c)16
(d)12
15.How many faces does a cuboid have?
(a)8
(b)4
(c)6
(d)12

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