Exploring and noticing

There are 412 NRICH Mathematical resources connected to Exploring and noticing
Fibonacci Surprises
problem
Favourite

Fibonacci surprises

Age
11 to 14
Challenge level
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Play around with the Fibonacci sequence and discover some surprising results!

Beach Huts
problem
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Beach huts

Age
11 to 14
Challenge level
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Can you figure out how sequences of beach huts are generated?
Difference of Two Squares
problem
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Difference of two squares

Age
14 to 16
Challenge level
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What is special about the difference between squares of numbers adjacent to multiples of three?
Forwards Add Backwards
problem
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Forwards add backwards

Age
11 to 14
Challenge level
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What happens when you add a three digit number to its reverse?
Add to 200
problem
Favourite

Add to 200

Age
11 to 14
Challenge level
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By selecting digits for an addition grid, what targets can you make?
Reasoned Rounding
problem
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Reasoned rounding

Age
7 to 14
Challenge level
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Four strategy dice games to consolidate pupils' understanding of rounding.
Going to the cinema
problem
Favourite

Going to the cinema

Age
11 to 16
A cinema has 100 seats. Is it possible to fill every seat and take exactly £100?
Ribbon Squares
problem
Favourite

Ribbon squares

Age
7 to 11
Challenge level
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What is the largest 'ribbon square' you can make? And the smallest? How many different squares can you make altogether?

Five Steps to 50
problem
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Five steps to 50

Age
5 to 7
Challenge level
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Use five steps to count forwards or backwards in 1s or 10s to get to 50. What strategies did you use?