Visualising and representing

There are 544 NRICH Mathematical resources connected to Visualising and representing
LOGO Challenge - Triangles-Squares-Stars
problem

LOGO Challenge - Triangles-Squares-Stars

Age
11 to 16
Challenge level
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Can you recreate these designs? What are the basic units? What movement is required between each unit? Some elegant use of procedures will help - variables not essential.
Frogs
problem

Frogs

Age
11 to 14
Challenge level
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How many moves does it take to swap over some red and blue frogs? Do you have a method?
Think of Two Numbers
problem

Think of Two Numbers

Age
11 to 14
Challenge level
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Think of two whole numbers under 10, and follow the steps. I can work out both your numbers very quickly. How?
Cubist Cuts
problem

Cubist Cuts

Age
11 to 14
Challenge level
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A 3x3x3 cube may be reduced to unit cubes in six saw cuts. If after every cut you can rearrange the pieces before cutting straight through, can you do it in fewer?
Triangles to Tetrahedra
problem

Triangles to Tetrahedra

Age
11 to 14
Challenge level
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Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?
Skeleton Shapes
problem

Skeleton Shapes

Age
5 to 7
Challenge level
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How many balls of modelling clay and how many straws does it take to make these skeleton shapes?
Cubes within Cubes
problem

Cubes within Cubes

Age
7 to 14
Challenge level
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We start with one yellow cube and build around it to make a 3x3x3 cube with red cubes. Then we build around that red cube with blue cubes and so on. How many cubes of each colour have we used?
Three Cubed
problem

Three Cubed

Age
7 to 11
Challenge level
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Can you make a 3x3 cube with these shapes made from small cubes?
Two Primes Make One Square
problem

Two Primes Make One Square

Age
7 to 11
Challenge level
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Can you make square numbers by adding two prime numbers together?