Exploring and noticing

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

Age
11 to 16
Challenge level
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Here is a chance to play a fractions version of the classic Countdown Game.
Standard Index Form Matching
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Standard index form matching

Age
14 to 16
Challenge level
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Can you match these calculations in Standard Index Form with their answers?
Terminating or not
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Terminating or not

Age
11 to 14
Challenge level
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Is there a quick way to work out whether a fraction terminates or recurs when you write it as a decimal?
Digit Addition
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Digit addition

Age
5 to 11
Challenge level
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Try out this number trick. What happens with different starting numbers? What do you notice?

The Number Jumbler
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The number jumbler

Age
7 to 14
Challenge level
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The Number Jumbler can always work out your chosen symbol. Can you work out how?
Different Deductions
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Different deductions

Age
7 to 11
Challenge level
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There are lots of different methods to find out what the shapes are worth - how many can you find?

Name That Triangle!
problem
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Name that triangle!

Age
7 to 11
Challenge level
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Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?

Polygon Rings
problem
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Polygon rings

Age
11 to 14
Challenge level
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Join pentagons together edge to edge. Will they form a ring?

Growing Surprises
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Growing surprises

Age
11 to 14
Challenge level
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Can you find the connections between linear and quadratic patterns?
Square Number Surprises
problem
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Square number surprises

Age
14 to 16
Challenge level
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There are unexpected discoveries to be made about square numbers...