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.
problem
Combining lengths
Age
11 to 16
Challenge level
How many different lengths is it possible to measure with a set of three rods?
problem
Going to the cinema
A cinema has 100 seats. Is it possible to fill every seat and take exactly £100?
problem
You can't make an omelette...
Can you devise the most efficient strategy for finding the highest floor from which you can drop an egg safely?
problem
Exploring coordinates and vectors
I wonder what we can find out when using coordinates and vectors on dotty grids...
problem
Exploring area
I wonder what we can find out about the areas of polygons drawn on dotty grids...