What is the sum of all the digits in all the integers from one to
Find the values of the nine letters in the sum: FOOT + BALL = GAME
Carry out cyclic permutations of nine digit numbers containing the
digits from 1 to 9 (until you get back to the first number). Prove
that whatever number you choose, they will add to the same total.
Each hour, Tock's watch gains three minutes on Tick's watch. It will, therefore, take 20 hours before it is one hour ahead of it.
This problem is taken from the UKMT Mathematical Challenges.