A 2-Digit number is squared. When this 2-digit number is reversed
and squared, the difference between the squares is also a square.
What is the 2-digit number?
Age 14 to 16 Challenge Level:
Time playing with the balance is important. It would be easy to just tell students about "moments" as a formula, but finding this relationship for themselves through practical investigation is of much higher value.
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the
NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to
embed rich mathematical tasks into everyday classroom practice.