Visualising and representing

There are 575 NRICH Mathematical resources connected to Visualising and representing

problem

KÃ¶nigsberg

Age

11 to 14

Challenge level

Can you cross each of the seven bridges that join the north and south of the river to the two islands, once and once only, without retracing your steps?

problem

A square in a circle

Age

7 to 11

Challenge level

What shape has Harry drawn on this clock face? Can you find its area? What is the largest number of square tiles that could cover this area?

problem

There are 27 small cubes in a 3 x 3 x 3 cube, 54 faces being visible at any one time. Is it possible to reorganise these cubes so that by dipping the large cube into a pot of paint three times you can colour every face of all of the smaller cubes?

problem

Triangles within triangles

Age

14 to 16

Challenge level

Can you find a rule which connects consecutive triangular numbers?

problem

Concrete wheel

Age

11 to 14

Challenge level

A huge wheel is rolling past your window. What do you see?

problem

Clocking off

Age

7 to 16

Challenge level

I found these clocks in the Arts Centre at the University of Warwick intriguing - do they really need four clocks and what times would be ambiguous with only two or three of them?

problem

One out one under

Age

14 to 16

Challenge level

Imagine a stack of numbered cards with one on top. Discard the top, put the next card to the bottom and repeat continuously. Can you predict the last card?

problem

17s and 23s

Age

11 to 14

Challenge level

Can you form this 2010-digit number...

problem

Centre square

Age

14 to 16

Challenge level

What does Pythagoras' Theorem tell you about the radius of these circles?

problem

Sheep in wolf's clothing

Age

16 to 18

Challenge level

Can you work out what simple structures have been dressed up in these advanced mathematical representations?

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Visualising and representing

KÃ¶nigsberg

A square in a circle

Inside out

Triangles within triangles

Concrete wheel

Clocking off

One out one under

17s and 23s

Centre square

Sheep in wolf's clothing