Challenge 1 of 5
Click an island to start, then click bridges to cross each one exactly once!
Bridges crossed: 0 / 0
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This challenge is based on a famous mathematical problem about finding paths through networks. Your goal is to visit every bridge exactly once without repeating any bridge. Some puzzles can be solved starting from any island, while others require you to start from specific islands. If you get stuck, use the Reset Challenge button to try a different starting point. The difficulty increases with each Challenge, requiring more strategic planning!
This type of puzzle was made famous by the Seven Bridges of Königsberg problem in the 18th century. The city of Königsberg (now Kaliningrad, Russia) had seven bridges connecting four land masses separated by the Pregel River. Citizens wondered if it was possible to walk through the city crossing each bridge exactly once. In 1736, mathematician Leonhard Euler proved it was impossible and, in doing so, laid the foundations for graph theory—a major branch of mathematics. Euler discovered that such a path exists only when a network has exactly zero or two points with an odd number of connections.
The traditional River Crossing challenge. Can you do it in the smallest number of moves?
The short web address is:
Transum.org/go/?Num=274
Six line drawings that may or may not be able to be traced without lifting the pencil or going over any line twice.
The short web address is:
Transum.org/go/?Num=526
Solve the problem of getting four people through a tunnel with one torch in the minimum amount of time.
The short web address is:
Transum.org/go/?Num=499
The solutions to this and other Transum puzzles, exercises and activities are available here when you are signed in to your Transum subscription account. If you do not yet have an account and you are a teacher, tutor or parent you can apply for one by completing the form on the Sign Up page.
A Transum subscription also gives you access to the 'Class Admin' student management system, downloadable worksheets, many more teaching resources and opens up ad-free access to the Transum website for you and your pupils.
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