Conjecturing and generalising

There are 405 NRICH Mathematical resources connected to Conjecturing and generalising

problem

Favourite

Play to 37

Age

7 to 11

Challenge level

In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7. The winner is the first to make the total 37.

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Favourite

Strange bank account

Age

11 to 14

Challenge level

Imagine a very strange bank account where you are only allowed to do two things...

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Favourite

Beelines

Age

14 to 16

Challenge level

Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?

problem

Favourite

Summing geometric progressions

Age

14 to 18

Challenge level

Watch the video to see how to sum the sequence. Can you adapt the method to sum other sequences?

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Favourite

Making spirals

Age

7 to 11

Challenge level

Can you make a spiral for yourself? Explore some different ways to create your own spiral pattern and explore differences between different spirals.

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Different sizes

Age

5 to 11

Challenge level

A simple visual exploration into halving and doubling.

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Magic letters

Age

11 to 14

Challenge level

Charlie has made a Magic V. Can you use his example to make some more? And how about Magic Ls, Ns and Ws?

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Favourite

Two numbers under the microscope

Age

5 to 7

Challenge level

This investigates one particular property of number by looking closely at an example of adding two odd numbers together.

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Favourite

Odd times even

Age

5 to 7

Challenge level

This problem looks at how one example of your choice can show something about the general structure of multiplication.

problem

Favourite

Take three numbers

Age

7 to 11

Challenge level

What happens when you add three numbers together? Will your answer be odd or even? How do you know?

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For younger learners

Conjecturing and generalising

Play to 37

Strange bank account

Beelines

Summing geometric progressions

Making spirals

Different sizes

Magic letters

Two numbers under the microscope

Odd times even

Take three numbers