Conjecturing and generalising

In each of these games, you will need a little bit of luck and your knowledge of place value to develop a winning strategy.

Some of the numbers have fallen off Becky's number line. Can you figure out what they were?

There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?

Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?

Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?

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 much can you read into a T-shirt?