Here is a few for you. I have about 1000 or more to add.
Girth of the Earth
To measure the circumference the Earth
The task should you not wish to look at the link is "to measure
the distance around the Earth" using your cell phone or GPS and a
metre wheel. I would like to just ask the question but it can be
found by asking Google!
Breaking the Stick
What is the probability of randomly breaking a stick in 2
places so that the three pieces can be used to form a
This is a beautiful task that can be reasoned out using good
mathematical thinking or simulated using a spreadsheet. Here is a
sheet of solutions so please do not look at it until you have
spent a few days figuring out your best answer.
All for the now.