These Stage 3 and 4 problems have not yet been solved. Can you be the first?
I wonder which polygons we can draw on dotty paper...
I wonder what we can find out about the areas of polygons drawn on dotty grids...
Imagine you work for a factory that makes egg-shaped ornaments. On the packaging, you need to tell customers how high the eggs can be safely dropped from, without them breaking!
The factory manager gives you an egg to test from each floor of a 100 storey building.
You will need to drop it from the first floor, and if it doesn't break, go up to the second floor, and if it doesn't break, go up to the third floor...
In the worst case scenario, you might have to do 100 tests to find out where it breaks!
"This could take ages! Can I have an extra egg to make life a bit easier?"
"Yes, here you are."
How will you use the extra egg so that you don't need to do so many trials?