### There are 18 results

Broad Topics >

3D Geometry, Shape and Space > Polyhedra

##### Age 5 to 7 Challenge Level:

How many balls of modelling clay and how many straws does it take to make these skeleton shapes?

##### Age 5 to 7 Challenge Level:

Here are shadows of some 3D shapes. What shapes could have made them?

##### Age 7 to 11 Challenge Level:

You want to make each of the 5 Platonic solids and colour the faces
so that, in every case, no two faces which meet along an edge have
the same colour.

##### Age 7 to 11 Challenge Level:

Can you arrange the shapes in a chain so that each one shares a
face (or faces) that are the same shape as the one that follows it?

##### Age 7 to 11 Challenge Level:

A toy has a regular tetrahedron, a cube and a base with triangular
and square hollows. If you fit a shape into the correct hollow a
bell rings. How many times does the bell ring in a complete game?

##### Age 7 to 11 Challenge Level:

Make a ball from triangles!

##### Age 7 to 11 Challenge Level:

Investigate the number of paths you can take from one vertex to
another in these 3D shapes. Is it possible to take an odd number
and an even number of paths to the same vertex?

##### Age 7 to 11 Challenge Level:

One face of a regular tetrahedron is painted blue and each of the
remaining faces are painted using one of the colours red, green or
yellow. How many different possibilities are there?

##### Age 7 to 11 Challenge Level:

The challenge for you is to make a string of six (or more!) graded cubes.

##### Age 7 to 11 Challenge Level:

Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?

##### Age 7 to 11 Challenge Level:

Here you see the front and back views of a dodecahedron. Each
vertex has been numbered so that the numbers around each pentagonal
face add up to 65. Can you find all the missing numbers?

##### Age 7 to 16 Challenge Level:

60 pieces and a challenge. What can you make and how many of the
pieces can you use creating skeleton polyhedra?

##### Age 7 to 14

How can we as teachers begin to introduce 3D ideas to young
children? Where do they start? How can we lay the foundations for a
later enthusiasm for working in three dimensions?

##### Age 7 to 16

A description of how to make the five Platonic solids out of paper.

##### Age 7 to 16 Challenge Level:

These models have appeared around the Centre for Mathematical Sciences. Perhaps you would like to try to make some similar models of your own.

##### Age 7 to 14 Challenge Level:

A very mathematical light - what can you see?

##### Age 7 to 16 Challenge Level:

This task develops spatial reasoning skills. By framing and asking
questions a member of the team has to find out what mathematical
object they have chosen.

##### Age 7 to 16 Challenge Level:

In a recent workshop, students made these solids. Can you think of
reasons why I might have grouped the solids in the way I have
before taking the pictures?