Conjecturing and generalising

There are 405 NRICH Mathematical resources connected to Conjecturing and generalising
Maxagon
problem

Maxagon

Age
11 to 14
Challenge level
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What's the greatest number of sides a polygon on a dotty grid could have?
Regular Hexagon Loops
problem

Regular hexagon loops

Age
11 to 14
Challenge level
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Make some loops out of regular hexagons. What rules can you discover?
Last-but-one
problem

Last-but-one

Age
14 to 16
Challenge level
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What is the last-but-one digit of 99! ?
Stop the Clock for Two
game

Stop the clock for two

Stop the Clock game for an adult and child. How can you make sure you always win this game?
Got \It for Two
game

Got it for two

Got It game for an adult and child. How can you play so that you know you will always win?

Nim-7 for Two
game

Nim-7 for two

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

Strike it out
game

Strike it out for two

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

What Shape for Two
problem

What shape for two

Age
7 to 14
Challenge level
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'What Shape?' activity for adult and child. Can you ask good questions so you can work out which shape your partner has chosen?