We sang this (exactly as in the last post) at primary school 1950s (Gloucester, West Country, England).

No games or actions involved but I can see our short, rather plump, headmaster now, arms in the air, conducting us 10-year-olds. You were in trouble if you didn't sing loudly enough and we would have been in trouble had we sung the words "got to" instead of "have to". We sang lots of folk and other old English songs - that was his favourite.