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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?
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...
Investigate how you can work out what day of the week your birthday will be on next year, and the year after...