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...
Rectangle PQRS has X and Y on the edges. Triangles PQY, YRX and XSP
have equal areas. Prove X and Y divide the sides of PQRS in the
How shall we start to make some progress with this challenge ?
Can you generalise your results somehow?
What is the same and what is different about the solution if the $10$ is changed to another number?