Visualising and representing

There are 575 NRICH Mathematical resources connected to Visualising and representing
How would we count?
problem
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How would we count?

Age
5 to 11
Challenge level
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An activity centred around observations of dots and how we visualise number arrangement patterns.

That number square
problem
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That number square

Age
5 to 11
Challenge level
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Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?
How do you see it?
problem
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How do you see it?

Age
5 to 11
Challenge level
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Here are some short problems for you to try. Talk to your friends about how you work them out.

Let us divide!
problem
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Let us divide!

Age
7 to 11
Challenge level
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Look at different ways of dividing things. What do they mean? How might you show them in a picture, with things, with numbers and symbols?
Always a multiple?
problem
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Always a multiple?

Age
11 to 14
Challenge level
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Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...
Factorising with Multilink
problem
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Factorising with multilink

Age
14 to 16
Challenge level
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Can you find out what is special about the dimensions of rectangles you can make with squares, sticks and units?
Two numbers under the microscope
problem
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Two numbers under the microscope

Age
5 to 7
Challenge level
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This investigates one particular property of number by looking closely at an example of adding two odd numbers together.
Odd times Even
problem
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Odd times even

Age
5 to 7
Challenge level
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This problem looks at how one example of your choice can show something about the general structure of multiplication.
Take three numbers
problem
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Take three numbers

Age
7 to 11
Challenge level
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What happens when you add three numbers together? Will your answer be odd or even? How do you know?

Double Trouble
problem
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Double trouble

Age
14 to 16
Challenge level
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Simple additions can lead to intriguing results...