# Resources tagged with: Sets of shapes

Filter by: Content type:
Age range:
Challenge level:

There are 18 NRICH Mathematical resources connected to Sets of shapes, you may find related items under Physical and Digital Manipulatives.

Broad Topics > Physical and Digital Manipulatives > Sets of shapes

### Triangle Animals

##### Age 5 to 7Challenge Level

How many different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?

##### Age 5 to 7Challenge Level

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

### Cut Nets

##### Age 7 to 11Challenge Level

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

### Let Us Reflect

##### Age 7 to 11Challenge Level

Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?

### Skeleton Shapes

##### Age 5 to 7Challenge Level

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

### Building with Solid Shapes

##### Age 5 to 7Challenge Level

We have a box of cubes, triangular prisms, cones, cuboids, cylinders and tetrahedrons. Which of the buildings would fall down if we tried to make them?

### Four-triangle Arrangements

##### Age 5 to 7Challenge Level

How many different shapes can you make by putting four right- angled isosceles triangles together?

### From One Shape to Another

##### Age 7 to 14

Read about David Hilbert who proved that any polygon could be cut up into a certain number of pieces that could be put back together to form any other polygon of equal area.

### A Chain of Eight Polyhedra

##### Age 7 to 11Challenge 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?

### Trace the Edges

##### Age 7 to 11Challenge Level

On which of these shapes can you trace a path along all of its edges, without going over any edge twice?

### Tri-five

##### Age 7 to 11Challenge Level

Find all the different shapes that can be made by joining five equilateral triangles edge to edge.

### Diagonal Trace

##### Age 7 to 11Challenge Level

You can trace over all of the diagonals of a pentagon without lifting your pencil and without going over any more than once. Can the same thing be done with a hexagon or with a heptagon?

### Child's Play

##### Age 7 to 11Challenge 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?

### Face Painting

##### Age 7 to 11Challenge 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.

### Tessellating Triangles

##### Age 7 to 11Challenge Level

Can you make these equilateral triangles fit together to cover the paper without any gaps between them? Can you tessellate isosceles triangles?

### Clock Hands

##### Age 7 to 11Challenge Level

This investigation explores using different shapes as the hands of the clock. What things occur as the the hands move.

### Dienes' Logiblocs

##### Age 5 to 7Challenge Level

This problem focuses on Dienes' Logiblocs. What is the same and what is different about these pairs of shapes? Can you describe the shapes in the picture?

### Cereal Packets

##### Age 7 to 11Challenge Level

How can you put five cereal packets together to make different shapes if you must put them face-to-face?