These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
Use the interactivities to complete these Venn diagrams.
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?
How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?
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.
Holly from Hermitage School sent a particularly well-explained solution to this problem.
Go to last month's problems to see more solutions.
In this article for teachers, Bernard gives an example of taking an initial activity and getting questions going that lead to other explorations.
This article for pupils explores what makes numbers special or lucky, and looks at the numbers that are all around us every day.