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?