Exploring and noticing

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

Age
11 to 16
Challenge level
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Can you find the values at the vertices when you know the values on the edges?

Warmsnug Double Glazing
problem
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Warmsnug double glazing

Age
14 to 16
Challenge level
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How have "Warmsnug" arrived at the prices shown on their windows? Which window has been given an incorrect price?
Caterpillars
problem
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Caterpillars

Age
5 to 7
Challenge level
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These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?
Nice or Nasty
problem
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Nice or nasty

Age
7 to 14
Challenge level
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There are nasty versions of this dice game but we'll start with the nice ones...
Planning a School Trip
problem
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Planning a school trip

Age
7 to 11
Challenge level
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You are organising a school trip and you need to write a letter to parents to let them know about the day. Use the cards to gather all the information you need.
Perimeter Expressions
problem
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Perimeter expressions

Age
11 to 14
Challenge level
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Create some shapes by combining two or more rectangles. What can you say about the areas and perimeters of the shapes you can make?
Domino Square
problem
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Domino square

Age
7 to 11
Challenge level
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Use the 'double-3 down' dominoes to make a square so that each side has eight dots.
Domino Sequences
problem
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Domino sequences

Age
5 to 7
Challenge level
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Find the next two dominoes in these sequences.
What's Possible?
problem
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What's possible?

Age
14 to 16
Challenge level
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Many numbers can be expressed as the difference of two perfect squares. What do you notice about the numbers you CANNOT make?