Conjecturing and generalising

Can you dissect an equilateral triangle into 6 smaller ones? What number of smaller equilateral triangles is it NOT possible to dissect a larger equilateral triangle into?

Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?

Can you find a way of counting the spheres in these arrangements?

If you'd like to explore the game freely, without any nudges from us, choose this version.

Try out these calculations. Are you surprised by the results?

Five children are taking part in a climbing competition with three parts, where their score for each part will be multiplied together. Can you see how the leaderboard will change depending on what happens in the final climb of the competition?

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

Can you select the missing digit(s) to find the largest multiple?