Geometry Stage 4

Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?

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

What shape is the overlap when you slide one of these shapes half way across another? Can you picture it in your head? Use the interactivity to check your visualisation.

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?

Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

This problem explores the shapes and symmetries in some national flags.

Can you describe the journey to each of the six places on these maps? How would you turn at each junction?