It's not a class thing.

Fox hunting, horse riding, polo and skiing... yes. Conkers, No.

Depends where you are - I went to a very modest comprehensive in Scotland and yet we still went skiing at weekend to Cairngorm because it was close.

Wherever there is a chestnut tree you'll get conkers. I would imagine it's more of a town/village vs city thing rather than class thing.

Which of those are you imagining doesn't have horse chestnut trees? (Conkers come from those, not plain chestnut trees)

I'm sure there are parts of the country where they're less common, but there's huge numbers of conkers falling off trees in big British cities (even if the majority will be in parks) as well as in the countryside. We played with them at my pre-teen city centre school for sure, and the trees are a common sight on roads and in gardens as well as public parks.

edit: the Woodland trust actually says "Though rarely found in woodland, it is a common sight in parks, gardens, streets and on village greens."

Live in London in Zone 2 and there are absolutely tons of conker trees around me including in areas which are not posh. They are very common in an urban setting.[1]

[1] Which kind of sucks for me personally because they cause me really terrible hayfever. I think I'm specifically alergic to their pollen maybe.

What if you ski in jeans?

Skiing is a much more expensive activity in most of Britain, mainly since it requires taking a week off work, international flights and hotels to be able to participate. And to become good at skiing you'll have to do that once or twice a year for many years. In places where the local ski slope is a bus ride away it is much less of a class/wealth thing.

The height of ski chic in Scotland used to, at least when I skied regularly, consist of offshore foul weather gear emblazoned with the name of the oil company (or oil service company) the wearer had borrowed it from.

Exactly! I used to ski double black diamonds in the Sierra Nevada range wearing jeans, with gaiters to keep the snow out of my boots.

Eton wall game is a class thing. Conkers is not.

https://en.wikipedia.org/wiki/Eton_wall_game

Considerably more pleasant than the St. Tadger's Day wall game played at Graybridge public school.

https://youtu.be/dDjV9iKmT9k?t=118