Conjecturing and generalising

problem

Unexpected Ordering

Age

5 to 7

Challenge level

1 out of 3

Watch the video of Fran re-ordering these number cards. What do you notice? Try it for yourself. What happens?
game

Stop the Clock for Two

Age

5 to 7

Challenge level

3 out of 3

Stop the Clock game for an adult and child. How can you make sure you always win this game?
problem

Holes

Age

5 to 11

Challenge level

1 out of 3

I've made some cubes and some cubes with holes in. This challenge invites you to explore the difference in the number of small cubes I've used. Can you see any patterns?
problem

Fit These Shapes

Age

5 to 11

Challenge level

1 out of 3

What is the largest number of circles we can fit into the frame without them overlapping? How do you know? What will happen if you try the other shapes?
problem

Count the Digits

Age

5 to 11

Challenge level

1 out of 3

In this investigation we are going to count the number of 1s, 2s, 3s etc in numbers. Can you predict what will happen?
game

Strike It Out for Two

Age

5 to 11

Challenge level

1 out of 3

Strike it Out game for an adult and child. Can you stop your partner from being able to go?
problem

Counting Stick Conjectures

Age

5 to 11

Challenge level

1 out of 3

How many rectangles can you see? Are they all the same size? Can you predict how many rectangles there will be in counting sticks of different lengths?
game

Celebrate 25 Years of NRICH

Age

5 to 14

To celebrate NRICH's 25th birthday, why not play this special version of our classic game, Got It? Can you devise a strategy so that you will always win?
game

Nim-7 for Two

Age

5 to 14

Challenge level

1 out of 3

Nim-7 game for an adult and child. Who will be the one to take the last counter?
problem

Window Frames

Age

5 to 14

Challenge level

1 out of 3

This task encourages you to investigate the number of edging pieces and panes in different sized windows.