Year 7 Enrichment


The worksheets are available to download.

The answers are available for you to check your solutions.

Part 1    Part 2    Part 3    Part 4    Part 5

The activities at the end of sections 1, 2 and 3 are detailed below.

Part 1 - Möbius Band

Follow the instructions down to number 5 from

Now try the ‘Cutting Tricks’ section from

There is a little information on Mobius strip uses at

There is a larger version of the classic piece of artwork here

Try searching for Möbius using


Now record what you have learnt about the Möbius Band. Ask your teacher for some paper to produce a poster, so you can tell others the weird and wonderful properties of the strip.


Part 2 - Three-dimensional solids

We'll use the five 'Platonic solids'. There are interactive pictures at (or if the pictures don't work). Try to use the pictures to count how many faces, edges and vertices (corners) each of the shapes has. Put your results in a table.

Now check your answers using How are the three numbers connected? How does this compare with networks?

As you did with Part 1, you can now record your findings. A display with the five solids and the relationship between faces, edges and vertices would be ideal. The link has printable templates for making the solids, your your display could become three dimensional!


Part 3 -The Bridges of Könisberg

Follow this link for a little background on the problem. You should be able to convert the river and bridge diagram to a network and solve the problems (Problem 1 and 2) using what you've learnt about traversable networks. (There is some help in the conversion here, this site also has links to some useful background information for your write ups.).

The final task is your write up. A display of what the Bridges problem is, and a little about its history and how it can be solved so that others can share what you've found out.