In reply to Removed Userlgraham00:
We have kids around that age and live locally (at present). It's not so much the distance you have to think about, as ascent and terrain. There's Lake District rough, and then Wester Ross rough, and the two are usually very different things.
There have been loads of good child-friendly suggestions within an hour's drive already, many of which we have Route Cards for (to offset the Walkighlands advertising!)
Ben Wyvis... bit of a plod for kids but the path is largely good and well-drained, and it has the advantage of being 5 mins drive from Garve https://www.ukhillwalking.com/logbook/r/?i=1325
Stac Pollaidh https://www.ukhillwalking.com/logbook/r/?i=87 (minus the final scramble to the true high point, which is not child friendly but too short to carry a rope for)
Meall a' Ghiubhais (the Beinn Eighe NNR mountain trail loop gets you to half height, and from there the summit is a more or less path-free optional leg - well worth it if your daughter is moving well) https://www.ukhillwalking.com/logbook/r/?i=141
In that vicinity I'd add Beinn a' Chearcaill to the list because the summit area is unique and the view's pretty amazing. But the caveat is that it's a fair bit harder underfoot than Meall a' Ghiubhais so don't be fooled by the smaller summit height https://www.ukhillwalking.com/logbook/r/?i=1303
If you want an impressive Torridon Munro and your daughter is OK on steep scree (it's short lived) then the standard route up and back down Beinn Eighe's Spidean Coire nan Clach is only a few hours round trip. A fuller circuit of the second Munro on Beinn Eighe and Coire Mhich Fhearchair is only worth considering on a nice day if you start early and she has plenty still in the tank after the first Munro... it's way way longer and once you've embarked on that leg there's no sensible shortcut if she flags.
For shorter hill days with maximum impact per metre, you really can't beat the Gairloch minis. An Groban is the best of them, and there's loads of optional slabby scrambling all over it if she likes that sort of thing. Meall Aundray is a very quick hit from the road. Or head up the Tollaidh track from near Poolewe and you've a number of mini summits - a good one is the obvious sharp rock peak about 3km from the road (I'm not sure it has a name - spot height 327m). Sithean Mor and the 'fairy lochs' is a great mini circuit, and worth visiting the WW2 crash site while up there.
I wouldn't recommend Fionn Bheinn for kids because it's a long ascent on dull ground, and very boggy - in my experience young'uns need variety and excitement in their immediate surroundings, not just distant views.