Year 9
These resources will be removed by end of Summer Term 2025.
Switch to our new teaching resources now - designed by teachers and leading subject experts, and tested in classrooms.
These resources were created for remote use during the pandemic and are not designed for classroom teaching.
Lesson details
Key learning points
- In this lesson, we will look at the painted cube problem.
Licence
This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.
3 Questions
Q1.
Look at the 3D grid. What are the co-ordinates of A?

(0, 0, 2)
(2, 0, 0)
Q2.
What are the co-ordinates of B?
(2, 0, 2)
(2, 2, 0)
(3, 2, 0)
Q3.
What are the co-ordinates of C?
(2, 3, 2)
(3, 2, 2)
(3, 2, 3)
4 Questions
Q1.
Imagine that the whole outside of this 3 x 2 x 2 cube was painted. First, how many cubes are there in total?

10
18
24
Q2.
How many cubes would have 3 faces painted?
12
4
6
Q3.
How many cubes would have 2 faces painted?
0
2
6
Q4.
How many cubes would have 1 face painted?
2
4
6