Exploring and noticing

There are 319 NRICH Mathematical resources connected to Exploring and noticing
It's a Fence!
problem

It's a Fence!

Age
5 to 11
Challenge level
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In this challenge, you will work in a group to investigate circular fences enclosing trees that are planted in square or triangular arrangements.
Sort them out (1)
problem

Sort them out (1)

Age
5 to 7
Challenge level
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Can you each work out the number on your card? What do you notice? How could you sort the cards?
So it's 28
problem

So it's 28

Age
5 to 7
Challenge level
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Here is your chance to investigate the number 28 using shapes, cubes ... in fact anything at all.
Which symbol?
problem

Which symbol?

Age
7 to 11
Challenge level
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Choose a symbol to put into the number sentence.
Shifting Times Tables
problem

Shifting Times Tables

Age
11 to 14
Challenge level
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Can you find a way to identify times tables after they have been shifted up or down?
Going round in circles
problem

Going round in circles

Age
11 to 14
Challenge level
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Mathematicians are always looking for efficient methods for solving problems. How efficient can you be?
How much can we spend?
problem

How much can we spend?

Age
11 to 14
Challenge level
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A country has decided to have just two different coins, 3z and 5z coins. Which totals can be made? Is there a largest total that cannot be made? How do you know?
Cyclic Quadrilaterals
problem

Cyclic Quadrilaterals

Age
11 to 16
Challenge level
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Draw some quadrilaterals on a 9-point circle and work out the angles. Is there a theorem?
Nice or Nasty
problem

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...
Strike it Out
problem

Strike it Out

Age
5 to 11
Challenge level
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Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.