An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
Choose any three by three square of dates on a calendar page...
Can you make a tetrahedron whose faces all have the same perimeter?
Here are some different ways in which we can split 100:
The products of these sets are all different:
What is the largest product that can be made from whole numbers that add up to 100?
Choose another starting number and split it in a variety of ways.
What is the largest product this time?
Can you find a strategy for splitting any number so that you always get the largest product?
Click here for a poster of this problem.