Exploring and noticing

There are 412 NRICH Mathematical resources connected to Exploring and noticing
Two-digit targets
problem
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Two-digit targets

Age
5 to 7
Challenge level
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You have a set of the digits from 0 to 9. Can you arrange these in the five boxes to make two-digit numbers as close to the targets as possible?

Follow the numbers
problem
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Follow the numbers

Age
7 to 11
Challenge level
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What happens when you add the digits of a number then multiply the result by 2 and you keep doing this? You could try for different numbers and different rules.

Cubes
problem
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Cubes

Age
7 to 11
Challenge level
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How many faces can you see when you arrange these three cubes in different ways?
Tree tops
problem
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Tree tops

Age
14 to 16
Challenge level
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Can you make sense of information about trees in order to maximise the profits of a forestry company?
Make 100
problem
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Make 100

Age
7 to 11
Challenge level
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Find at least one way to put in some operation signs to make these digits come to 100.
One Wasn't Square
problem
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One wasn't square

Age
7 to 11
Challenge level
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Mrs Morgan, the class's teacher, pinned numbers onto the backs of three children. Use the information to find out what the three numbers were.
Tiny Nines
problem
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Tiny nines

Age
14 to 16
Challenge level
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What do you notice about these families of recurring decimals?
Complete the Square
problem
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Complete the square

Age
5 to 7
Challenge level
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Complete the squares - but be warned some are trickier than they look!

Wallpaper
problem
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Wallpaper

Age
5 to 7
Challenge level
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These pieces of wallpaper need to be ordered from smallest to largest. Can you find a way to do it?

Growing Garlic
problem
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Growing garlic

Age
5 to 11
Challenge level
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Ben and his mum are planting garlic. Can you find out how many cloves of garlic they might have had?