In reply to Thelittlesthobo:
It's actually a fairly trivial question.
As has belatedly been mentioned after much tangential debate, most ropes have a middle marker (or a change in pattern on more expensive ones) to solve EXACTLY this dilemma, or you can add one yourself. You can then just just stop climbing and lower-off if you get to halfway.
It works regardless of any errors with the wall staff measuring or estimating route lengths or guidebook lengths outdoors being wrong. It works regardless of whether your rope was cut long or has shrunk slightly in use. It also works with cut-down sports ropes as in most cases both ends will have worn fairly evenly and you will cut exactly the same off both ends.
With a middle marker the worst case is that you progress slightly by trial and error, initially lowering off a couple of clips before the top and then seeing exactly how much rope you have left including stretch before deciding whether you can actually lead slightly past the middle. That will often have been how various people have established that they can actually get away slightly shorter ropes than specified by walls.
Like many others I've got numerous different length ropes currently including 20m, 27m, 30m, 40m, 50m and 60m. For most of us who climb outdoors it just isn't an issue, if concerned you tie a knot in the end of the rope and if you do end up a bit short you just sort it out.
It also highlights the classic issue that people just don't know what they don't know. You obviously aren't happy to deal with the issue of running out of rope that most experienced sport climbers wouldn't even blink at and would have resolved before anyone else was actually aware of it.
However, in that vein there is no such thing as a silly question and it leads into the wider issue of how climbing walls are run. Most experienced climbers just want climbing walls to have a relaxed approach to things and just let them crack on. However there is an obvious tension in that desire when it comes both to novices and increasing numbers of under-18s. There are regular debates, although normally about walls being over officious rather than not prescriptive or informative enough. There are definitely wider issues and given how rapidly indoor climbing is evolving it's not certain how things will evolve in the future.
However, I'd be very careful about too much criticism of walls for being too relaxed. You are very much a beneficiary of the status quo. We are not a million miles away from the introduction of a "belayer qualification" and I'm sure you'd be the first person to complain if you had to do a formal training course and pay a substantial amount for it before being allowed to belay your daughter.
(edited to fix typos)
Post edited at 17:46