Exploring and noticing

There are 412 NRICH Mathematical resources connected to Exploring and noticing
Beads
problem

Beads

Age
7 to 11
Challenge level
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Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
More pebbles
problem

More pebbles

Age
7 to 11
Challenge level
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Have a go at this 3D extension to the Pebbles problem.
12345
problem

12345

Age
14 to 16
Challenge level
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Repeat a pattern of numbers to form a larger number. Can you find the sum of all the digits?
Centred Squares
problem

Centred squares

Age
7 to 11
Challenge level
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This challenge, written for the Young Mathematicians' Award, invites you to explore 'centred squares'.
Dice Stairs
problem

Dice stairs

Age
7 to 11
Challenge level
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Can you make dice stairs using the rules stated? How do you know you have all the possible stairs?
Who's who?
problem

Who's who?

Age
11 to 16
Challenge level
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Can you solve the clues to find out who's who on the friendship graph?

Can you traverse it?
problem

Can you traverse it?

Age
14 to 18
Challenge level
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How can you decide if a graph is traversable?

Diagonal in a Spiral
problem

Diagonal in a spiral

Age
7 to 11
Challenge level
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Investigate the totals you get when adding numbers in threes on the diagonal of this pattern.
Pattern Sniffing
article

Pattern sniffing

This article for primary teachers outlines how we can encourage children to create, identify, extend and explain number patterns and why being able to do so is useful.