I call weeds wild plants and that solves the problem. 
Without having identified all the grasses, ferns, rushes, mosses and lichens in my garden (not to mention the fungi), which would add to the numbers I'm about to give you, I've found names for/of 123 plants in my garden. Of these, 79 are wild, native plants, 5 are cultivated versions of native plants, 9 are wild not native plants, and 30 are 'cultivated'/'notsure' or naturalised. If MOG and I between us manage to keep the hedges and the grassed areas under some kind of control, we're doing well. But we bought the house because of the challenging and fairly wild garden.
In my much smaller suburban Oxfordshire garden, I had 80 wildflowers/plants and 45 cultivated.
Love 'weeds' 