This group of tasks, part of our feature The Problem-solving Classroom, is a good starting point for encouraging positive habits of mind: collaboration, determination, thoughtfulness and curiosity.

problem
Inside triangles
How many different triangles can you draw which each have one dot in the middle?


problem
If the world were a village
This activity is based on data in the book 'If the World Were a Village'. How will you represent your chosen data for maximum effect?

problem
Wallpaper
These pieces of wallpaper need to be ordered from smallest to largest. Can you find a way to do it?

game
Favourite
Factors and multiples game
A game in which players take it in turns to choose a number. Can you block your opponent?

game
Favourite
The remainders game
Play this game and see if you can figure out the computer's chosen number.

problem
Stringy quads
This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!