List

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
problem

Combining lengths

Age
11 to 16
Challenge level
filled star empty star empty star
How many different lengths is it possible to measure with a set of three rods?
Going to the cinema
problem
Favourite

Going to the cinema

Age
11 to 16
A cinema has 100 seats. Is it possible to fill every seat and take exactly £100?
You can't make an omelette...
problem

You can't make an omelette...

Age
11 to 16
Can you devise the most efficient strategy for finding the highest floor from which you can drop an egg safely?
Exploring Distance
problem

Exploring Distance

Age
11 to 16
I wonder what we can find out about distances along grid lines...
Drawing polygons
problem

Drawing polygons

Age
11 to 16

I wonder which polygons we can draw on dotty paper...

Exploring Area
problem

Exploring Area

Age
11 to 16

I wonder what we can find out about the areas of polygons drawn on dotty grids...