problem

### Fence it

If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?

problem
###
Fence it

If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?

problem
###
The Fastest Cyclist

Andy is desperate to reach John o'Groats first. Can you devise a winning race plan?

problem
###
crossing the bridge

Four friends must cross a bridge. How can they all cross it in just 17 minutes?

problem
###
Gutter

Manufacturers need to minimise the amount of material used to make
their product. What is the best cross-section for a gutter?

problem
###
Sending a Parcel

What is the greatest volume you can get for a rectangular (cuboid)
parcel if the maximum combined length and girth are 2 metres?

problem
###
Classic cube

The net of a cube is to be cut from a sheet of card 100 cm square.
What is the maximum volume cube that can be made from a single
piece of card?

problem
###
Bend

What is the longest stick that can be carried horizontally along a
narrow corridor and around a right-angled bend?

problem
###
Maximum Flow

Given the graph of a supply network and the maximum capacity for
flow in each section find the maximum flow across the network.

problem
###
Cube Net

How many tours visit each vertex of a cube once and only once? How
many return to the starting point?