Year 3 Conjecturing and generalising

Place the numbers from 1 to 9 in the squares so that the difference between joined squares is odd.

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

What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

Have a look at this table of how children travel to school. How does it compare with children in your class?

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?

Use the maps to work out the number of points each route through Numberland scores.

Class 5 were looking at the first letter of each of their names. They created different charts to show this information. Can you work out which member of the class was away on that day?

Take a look at these data collected by children in 1986 as part of the Domesday Project. What do they tell you? What do you think about the way they are presented?

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

How many people and rats could there be if you know how many legs there are altogether?

Can you find all the ways to get 15 at the top of this triangle of added numbers?

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

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

By choosing to add numbers from 1-4, can you hit the target number in this game?

Here's a strategy game with lots to explore. Can you find out enough to guarantee a win, no matter what the settings?