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.

Non-calculator

VersionsA only A + B A + B + Csame questions, different order

AnswersQuestions only With answer key Key only

CalculatorMixed Non-calculator (Paper 1)Calculator (Papers 2 and 3)

New sheet

Properties of 3D shapes worksheet — GCSE Foundation

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

MathsUKwww.geekhero.co.uk

1.How many vertices does a cuboid have?
(a)12
(b)6
(c)4
(d)8
2.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
3.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
4.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
5.How many vertices does a cylinder have?
(a)2
(b)4
(c)1
(d)0
6.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
7.A hexagonal prism has 8 faces and 12 vertices. Using F + V − E = 2, work out how many edges it has.
(a)20
(b)22
(c)18
(d)16
8.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
9.How many edges does a triangular prism have?
(a)9
(b)5
(c)6
(d)12
10.A cone is cut by a flat plane parallel to its circular base, partway up between the base and the apex. What shape is the cross-section?
(a)A smaller circle
(b)A triangle
(c)The same size circle as the base
(d)An ellipse
11.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
12.A square-based pyramid is cut by a flat plane parallel to its base, partway up between the base and the apex. What shape is the cross-section?
(a)Triangle
(b)Trapezium
(c)Square
(d)Pentagon
13.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
14.A solid has 10 vertices and 15 edges. Using the formula F + V − E = 2, work out how many faces it has.
(a)7
(b)3
(c)5
(d)27
15.A cuboid has a length, width and height that are all different from each other. How many planes of symmetry does it have?
(a)9
(b)3
(c)1
(d)6

Build your own mix at the worksheet builder.