It's useful to be able to recognise similar structures or patterns across different activities. These tasks encourage children to do that, and consolidate their understanding at the same time.
problem
Favourite
Brush Loads
How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.
problem
Mobile Numbers
In this investigation, you are challenged to make mobile phone
numbers which are easy to remember. What happens if you make a
sequence adding 2 each time?
problem
28 - upward and onward
Can you find ways of joining cubes together so that 28 faces are visible?
problem
Sending and Receiving Cards
This challenge asks you to investigate the total number of cards that would be sent if four children send one to all three others. How many would be sent if there were five children? Six?
problem
Alien Counting
Investigate the different ways these aliens count in this
challenge. You could start by thinking about how each of them would
write our number 7.