Visualising Shapes Unit Review

Question 1

a) What is the group name of this shape?

b) What is the special name of this shape?

c) Is the shape regular?

Rhombus

Quadrilateral

No

Question 2

a) What is the group name of this shape?

b) What is the special name of this shape?

c) Is the shape regular?

Equilateral Triangle

Triangle

Yes

Question 3

a) What is the group name of this shape?

b) Is the shape regular?

No

Hexagon

Question 4

a) What is the group name of this shape?

b) What is the special name of this shape?

c) Is the shape regular?

Trapezium

Quadrilateral

No

Question 5 – Name these 2D shapes

a) b)

c) d)

Octagon Hexagon

Kite Parallelogram

Question 6

a) What is the name of this shape according to side length?

b) What is the name of this shape according to angles?

Acute Angle Triangle

Isosceles Triangle

Question 7 – Name these 2D shapes

a) b)

c) d)

Triangular Prism Hexagonal Prism

Pentagonal Pyramid

Octagonal Pyramid

Question 8

When the net above is folded to make a cube:• What side is opposite the A?

• What side is opposite the E?

Side C

Side D

A B

C

D

E

F

Question 9

a) How many faces on the shape above?

b) How many vertices?

c) How many edges?

8 vertices

6 faces

12 edges

Question 10

Equilateral Triangle

Platonic Solids have all faces made up by exactly the same regular polygon and all the faces are at the same angle to each other. There are only 5 platonic solids and they are shown above.

What are the only 2D shapes that can be used to make platonic solids?

SquareRegular

Pentagon

Question 11

a) Is it possible to have a polyhedron with 8 faces, 8 vertices and 16 edges?

b) Is it possible to have a polyhedron with 10 faces, 12 vertices and 20 edges?

c) If a polyhedron has 6 faces and 6 vertices, how many edges does it have?

Yes

No

In the 1700’s a mathematician called Leonhard Euler found that when he added the number of faces and vertices in a polyhedron the total was always 2 more than the number of edges. His rule is often written as shown below:

Euler’s Rule F + V – E = 2

10 edges

Work out your score

Each part of a question was worth 1 mark and so the total possible mark was 32.

How did you go?