Conjecturing and generalising

Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.

In this investigation we are going to count the number of 1s, 2s, 3s etc in numbers. Can you predict what will happen?

How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?

In these addition games, you'll need to think strategically to get closest to the target.

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?

The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?

A simple visual exploration into halving and doubling.

Try out this number trick. What happens with different starting numbers? What do you notice?