Working systematically

In this game you are challenged to gain more columns of lily pads than your opponent.

I added together some of my neighbours' house numbers. Can you explain the patterns I noticed?

The Number Jumbler can always work out your chosen symbol. Can you work out how?

How will you work out which numbers have been used to create this multiplication square?

Throughout these challenges, the touching faces of any adjacent dice must have the same number. Can you find a way of making the total on the top come to each number from 11 to 18 inclusive?

This task encourages you to investigate the number of edging pieces and panes in different sized windows.

When I fold a 0-20 number line, I end up with 'stacks' of numbers on top of each other. These challenges involve varying the length of the number line and investigating the 'stack totals'.

There are lots of different methods to find out what the shapes are worth - how many can you find?

In this interactivity each fruit has a hidden value. Can you deduce what each one is worth?

My dice has inky marks on each face. Can you find the route it has taken? What does each face look like?