problem
Favourite
Three Neighbours
Take three consecutive numbers and add them together. What do you notice?
This is part of our collection of favourite rich tasks arranged by topic.
If you are a teacher, you can find the whole collection on our Primary Curriculum teacher page.
Alternatively, if you are a student, you'll find the same problems on our Primary Curriculum student page.
Take three consecutive numbers and add them together. What do you notice?
We start with one yellow cube and build around it to make a 3×3×3 cube with red cubes. Then we build around that red cube with blue cubes and so on. How many cubes of each colour have we used?
How many solutions can you find to this sum? Each of the different letters stands for a different number.