Question 1

LEVEL 1

Find the number of faces, edges and vertices of the square based pyramid below.

 

Select the correct answer from the list below:

A: 5 faces, 8 edges and 5 vertices

B: 4 faces, 8 edges and 5 vertices

C: 5 faces, 8 edges and 4 vertices

D: 4 faces, 7 edges and 5 vertices

 

CORRECT ANSWER: A: 5 faces, 8 edges and 5 vertices

WORKED SOLUTION:

There are 4 triangular faces and 1 square face, so 5 in total.

There are 4 edges on the bottom and 4 diagonal edges, so 8 in total.

There are 4 vertices on the bottom, and 1 at the top, so 5 in total.

 


 

Question 2

LEVEL 1

Find the number of faces, edges and vertices of the sphere below.

Select the correct answer from the list below:

A: 1 face, 0 edges and 0 vertices

B: 1 faces, 1 edge and 0 vertices

C: 1 faces, 1 edge and 1 vertex

D: 2 faces, 1 edge and 0 vertices

 

CORRECT ANSWER: A: 1 face, 0 edges and 0 vertices

WORKED SOLUTION:

A sphere is made up of a single surface, so there is 1 face, 0 edges and 0 vertices

 


 

Question 3

LEVEL 1

Find the number of faces, edges and vertices of the cuboid below.

Select the correct answer from the list below:

A: 6 faces, 12 edges and 8 vertices

B: 8 faces, 12 edges and 8 vertices

C: 6 faces, 8 edges and 8 vertices

D: 6 faces, 8 edges and 4 vertices

 

CORRECT ANSWER: A: 6 faces, 12 edges and 8 vertices

WORKED SOLUTION:

There are 4 long faces and 2 small faces, so 6 in total.

There are 4 edges on the front, 4 edges on the back, and 2 edges on each side, so 12 in total.

There are 4 vertices on the front, and 4 vertices on the back, so 8 in total.

 


 

Question 4

LEVEL 1

Name the following 3D shape.

Select the correct answer from the list below:

A: Triangular Prism

B: Cylinder

C: Triangular Based Pyramid

D: Frustum

 

CORRECT ANSWER: A: Triangular Prism

WORKED SOLUTION:

This is a triangular prism.

 


 

Question 5

LEVEL 1

Name the following 3D shape.

Select the correct answer from the list below:

A:  Frustum

B: Triangular Prism

C: Triangular Based Pyramid

D: Square Based Pyramid

 

CORRECT ANSWER: A: Frustum

WORKED SOLUTION:

This is a Frustum.