An activity based on the game 'Pelmanism'. Set your own level of challenge and beat your own previous best score.
The number 2.525252525252.... can be written as a fraction. What is the sum of the denominator and numerator?
What is the mean of $1.\dot{2}$ and $2.\dot{1}$
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.
This problem is taken from the UKMT Mathematical Challenges.