Nets

problem
The spider and the fly

Age

14 to 16

Challenge level

A spider is sitting in the middle of one of the smallest walls in a room and a fly is resting beside the window. What is the shortest distance the spider would have to crawl to catch the fly?
problem
Cut nets

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?
problem
A puzzling cube

Age

7 to 11

Challenge level

Here are the six faces of a cube - in no particular order. Here are three views of the cube. Can you deduce where the faces are in relation to each other and record them on the net of this cube?
problem
More christmas boxes

Age

7 to 11

Challenge level

What size square should you cut out of each corner of a 10 x 10 grid to make the box that would hold the greatest number of cubes?
problem
Cubic conundrum

Age

7 to 16

Challenge level

Which of the following cubes can be made from these nets?
problem
Cutting a cube

Age

11 to 14

Challenge level

A half-cube is cut into two pieces by a plane through the long diagonal and at right angles to it. Can you draw a net of these pieces? Are they identical?
problem
Rhombicubocts

Age

11 to 14

Challenge level

Each of these solids is made up with 3 squares and a triangle around each vertex. Each has a total of 18 square faces and 8 faces that are equilateral triangles. How many faces, edges and vertices does each solid have?
problem
Let's face it

Age

7 to 11

Challenge level

In this problem you have to place four by four magic squares on the faces of a cube so that along each edge of the cube the numbers match.
problem
Tet-trouble

Age

14 to 16

Challenge level

Is it possible to have a tetrahedron whose six edges have lengths 10, 20, 30, 40, 50 and 60 units?
problem
Face painting

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.