Nets

problem

More Christmas Boxes

Age

7 to 11

Challenge level

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

Presents

Age

7 to 11

Challenge level

We need to wrap up this cube-shaped present, remembering that we can have no overlaps. What shapes can you find to use?
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.
problem

Triangular Faces

Age

7 to 11

Challenge level

This problem invites you to build 3D shapes using two different triangles. Can you make the shapes from the pictures?
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

All Wrapped Up

Age

7 to 11

Challenge level

What is the largest cuboid you can wrap in an A3 sheet of paper?
problem

Auditorium Steps

Age

7 to 14

Challenge level

What is the shape of wrapping paper that you would need to completely wrap this model?
problem

Air Nets

Age

7 to 18

Challenge level

Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.
problem

Cool as Ice

Age

11 to 16

Challenge level

Design and construct a prototype intercooler which will satisfy agreed quality control constraints.
problem

Gym Bag

Age

11 to 16

Challenge level

Can Jo make a gym bag for her trainers from the piece of fabric she has?