Conjecturing and generalising

Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?

How will you complete these interactive Venn diagrams?

Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

"Ip dip sky blue! Who's 'it'? It's you!" Where would you position yourself so that you are 'it' if there are two players? Three players ...?

This activity focuses on similarities and differences between shapes.

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

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?