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There are **10** NRICH Mathematical resources connected to **Optimisation**, you may find related items under Decision mathematics and combinatorics.

Problem
Primary curriculum
Secondary curriculum
### Cuboid Challenge

What's the largest volume of box you can make from a square of paper?

Age 11 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Gutter

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

Age 14 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Fence It

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

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### The Fastest Cyclist

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

Age 14 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Crossing the Bridge

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

Age 11 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### 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?

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Bend

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

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### 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.

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Cube Net

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

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Wrapping Gifts

A box of size a cm by b cm by c cm is to be wrapped with a square piece of wrapping paper. Without cutting the paper what is the smallest square this can be?

Age 16 to 18

Challenge Level