If you write out all the numbers from 1 to 300, in how many numbers will there be an 8? (Note that 88 only counts as one number with an 8!)

There is one 8 in each intervals: 1-10, 11-20, 21-30, 31-40, 41-50, 51-60, 61-70, 71-79, 90-100, and ten numbers with 8 in 80-89.

from 1-100, there are a total of nineteen 8's.

So from 101-200, there will be nineteen as well. Same goes for 201-300.

so,

19*3=57

There are fifty seven number with 8 from 1 to 300