Exploring and noticing

There are 412 NRICH Mathematical resources connected to Exploring and noticing

problem

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Numerically equal

Age

7 to 11

Challenge level

Can you draw a square in which the perimeter is numerically equal to the area?

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Shopping basket

Age

11 to 16

Challenge level

The items in the shopping basket add and multiply to give the same amount. What could their prices be?

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Pick's theorem

Age

14 to 16

Challenge level

Polygons drawn on square dotty paper have dots on their perimeter (p) and often internal (i) ones as well. Find a relationship between p, i and the area of the polygons.

problem

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Special numbers

Age

11 to 14

Challenge level

My two digit number is special because adding the sum of its digits to the product of its digits gives me my original number. What could my number be?

problem

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Mixing paints

Age

11 to 14

Challenge level

Can you work out how to produce different shades of pink paint?

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Sort the street

Age

5 to 7

Challenge level

Sort the houses in my street into different groups. Can you do it in any other ways?

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A chance to win?

Age

11 to 14

Challenge level

Imagine you were given the chance to win some money... and imagine you had nothing to lose...

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In the bag

Age

11 to 14

Challenge level

Can you guess the colours of the 10 marbles in the bag? Can you develop an effective strategy for reaching 1000 points in the least number of rounds?

problem

Favourite

Baravelle

Age

7 to 16

Challenge level

What can you see? What do you notice? What questions can you ask?

problem

Favourite

The numbers give the design

Age

7 to 11

Challenge level

Make new patterns from simple turning instructions. You can have a go using pencil and paper or with a floor robot.