Freedom and Constraints

Freedom and Constraints


At first glance, these contexts might appear quite constrained, and you might think that there is not much to explore. Take the time to look deeper, and by pushing the boundaries you may discover some mathematically interesting results.


Combining Lengths 

Age 11 to 16
Challenge Level
How many different lengths is it possible to measure with a set of three rods?

Climbing the Stairs 

Age 11 to 16
In how many ways can I get upstairs?

Going to the Cinema 

Age 11 to 16
A cinema has 100 seats. Is it possible to fill every seat and take exactly £100?
Can you devise the most efficient strategy for finding the highest floor from which you can drop an egg safely?