Conjecturing and generalising

There are 405 NRICH Mathematical resources connected to Conjecturing and generalising

problem

Favourite

Name that triangle!

Age

7 to 11

Challenge level

Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?

problem

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Polygon rings

Age

11 to 14

Challenge level

Join pentagons together edge to edge. Will they form a ring?

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Favourite

Growing surprises

Age

11 to 14

Challenge level

Can you find the connections between linear and quadratic patterns?

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Favourite

Square number surprises

Age

14 to 16

Challenge level

There are unexpected discoveries to be made about square numbers...

problem

Favourite

Multiple surprises

Age

11 to 16

Challenge level

Sequences of multiples keep cropping up...

problem

Favourite

Fibonacci surprises

Age

11 to 14

Challenge level

Play around with the Fibonacci sequence and discover some surprising results!

problem

Favourite

Six ten total

Age

7 to 11

Challenge level

This challenge combines addition, multiplication, perseverance and even proof.

problem

Favourite

Multiplication arithmagons

Age

14 to 16

Challenge level

Can you find the values at the vertices when you know the values on the edges of these multiplication arithmagons?

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Favourite

Beach huts

Age

11 to 14

Challenge level

Can you figure out how sequences of beach huts are generated?

problem

Favourite

Wipeout

Age

11 to 16

Challenge level

Can you do a little mathematical detective work to figure out which number has been wiped out?

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For younger learners

Conjecturing and generalising

Name that triangle!

Polygon rings

Growing surprises

Square number surprises

Multiple surprises

Fibonacci surprises

Six ten total

Multiplication arithmagons

Beach huts

Wipeout