Conjecturing and generalising

There are 408 NRICH Mathematical resources connected to Conjecturing and generalising
Xavi's T-shirt
problem
Favourite

Xavi's t-shirt

Age
7 to 16
Challenge level
filled star empty star empty star

How much can you read into a t-shirt?

Seeing Parallelograms
problem
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Seeing parallelograms

Age
7 to 11
Challenge level
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Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.

Rhombus It
problem
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Rhombus it

Age
11 to 16
Challenge level
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Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a rhombus.

Parallelogram It
problem
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Parallelogram it

Age
11 to 16
Challenge level
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Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.

What numbers can we make now?
problem
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What numbers can we make now?

Age
11 to 14
Challenge level
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Imagine we have four bags containing numbers from a sequence. What numbers can we make now?

More Less is More
problem
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More less is more

Age
7 to 14
Challenge level
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In each of these games, you will need a little bit of luck, and your knowledge of place value to develop a winning strategy.
Three neighbours
problem
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Three neighbours

Age
7 to 14
Challenge level
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Take three consecutive numbers and add them together. What do you notice?
Dicey Array
game
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Dicey array

Watch the video of this game being played. Can you work out the rules? Which dice totals are good to get, and why?

Guess What?
problem
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Guess what?

Age
7 to 11
Challenge level
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Can you find out which 3D shape your partner has chosen before they work out your shape?