Copyright © University of Cambridge. All rights reserved.

'The Tall Tower' printed from http://nrich.maths.org/

Show menu


You have been imprisoned at the top of the Tall Tower by the Wicked Magician!

You can get out by climbing down the ladders. As you come down you collect useful spells.

You can go down the ladders and through the doorways into the adjoining room but you cannot go into the same room twice, nor climb up the ladders.

The numbers in the rooms show how many spells there are in each one.

the tall tower - ten rooms each with a certain number of spells in

Which way should you go to collect the most spells?

And which way to collect as few as possible?

Can you find a route that collects exactly $35$ spells?