A lot of times when I use some kind of tape roll, I just fold it and then when I want to use it again, I spend some agonizing moments trying to find the beginning of it.
What can I do to find the end of the tape more easily?
I have an easy solution. Bend the tape backwards so that it will not stick back to the roll by itself. Then next time when you use again, it is still sticking out. I made a video showing how: https://youtu.be/QeGyVtNXf7w
To prevent the tape sticking to the roll I often use a bit of plastic or a bit of tape already folded over. Stick the end of the tape to that and it will both show where the end is and allow for removing the marker and not losing tape. Keep the marker, it can be used many times.
Once the end has gotten stuck I prefer the run your mail over the roll method, which you might need to do in both directions. However, if your sight is good, looking for the end can work, especially if you can use a strong light focused on the roll. Let the light play on the surface, the outer circumference of course, and see if you can see that slight bump.
I've used all the tricks shown above at various times and they work well with Selotape. Scotch Tape as used on parcels is very thin and it is nigh impossible to find the end. Mine broke in the dispenser. Cutting through is fine but then you get many layers and being so thin not every one is cut through and it comes off diagonally. I persevered and afer half an hour and twenty times around the roll I got there. Much easier to ditch it and buy a new roll!