Visualising and representing

There are 575 NRICH Mathematical resources connected to Visualising and representing
Trace the Edges
problem

Trace the edges

Age
7 to 11
Challenge level
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On which of these shapes can you trace a path along all of its edges, without going over any edge twice?
Hidden Rectangles
problem

Hidden rectangles

Age
11 to 14
Challenge level
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Rectangles are considered different if they vary in size or have different locations. How many different rectangles can be drawn on a chessboard?
Classic cube
problem

Classic cube

Age
16 to 18
Challenge level
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The net of a cube is to be cut from a sheet of card 100 cm square. What is the maximum volume cube that can be made from a single piece of card?
Cubic Covering
problem

Cubic covering

Age
14 to 16
Challenge level
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A blue cube has blue cubes glued on all of its faces. Yellow cubes are then glued onto all the visible blue facces. How many yellow cubes are needed?
Putting Two and Two Together
problem

Putting two and two together

Age
7 to 11
Challenge level
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In how many ways can you fit two of these yellow triangles together? Can you predict the number of ways two blue triangles can be fitted together?
Placeholder: several colourful numbers
problem

Triangles in the middle

Age
11 to 18
Challenge level
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This task depends on groups working collaboratively, discussing and reasoning to agree a final product.
Auditorium Steps
problem

Auditorium steps

Age
7 to 14
Challenge level
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What is the shape of wrapping paper that you would need to completely wrap this model?
Sprouts
game

Sprouts

A game for 2 people. Take turns joining two dots, until your opponent is unable to move.
Wrapping Presents
problem

Wrapping presents

Age
7 to 11
Challenge level
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Choose a box and work out the smallest rectangle of paper needed to wrap it so that it is completely covered.
Pyramid numbers
problem

Pyramid numbers

Age
7 to 11
Challenge level
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What are the next three numbers in this sequence? Can you explain why are they called pyramid numbers?