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### Number and algebra

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### For younger learners

### Advanced mathematics

# The Problem-solving Classroom: Encouraging a Productive Disposition

### Inside Triangles

### Thirsty?

### Wallpaper

### If the World Were a Village

### Stringy Quads

### The Remainders Game

### Factors and Multiples Game

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

Age 5 to 7

Challenge Level

How many different triangles can you draw on the dotty grid which each have one dot in the middle?

Age 5 to 7

Challenge Level

Can you lay out the pictures of the drinks in the way described by the clue cards?

Age 5 to 7

Challenge Level

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

Age 5 to 11

Challenge Level

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?

Age 7 to 11

Challenge Level

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

Age 7 to 14

Challenge Level

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

Age 7 to 16

Challenge Level

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