Year 3 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?

There are six numbers written in five different scripts. Can you sort out which is which?

Can you predict when you'll be clapping and when you'll be clicking if you start this rhythm? How about when a friend begins a new rhythm at the same time?

Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

What happens when you add the digits of a number then multiply the result by 2 and you keep doing this? You could try for different numbers and different rules.

Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.

In this game the winner is the first to make the total 37. Is this a fair game?

Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!

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

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

A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.