For people saying 'this sounds like the 1930s' - some of us are talking of our own experiences. I can remember adverts in the paper advertising jobs which state the male and female rates of pay for the same job - early 1960s.
I was a teenager in the 1960s too. My mother had given up work in 1948 before she was even expecting children, and never went back to work again. DH and DB are almost exactly the same age though, and MIL a couple of years younger than my DM went back to work in the early 60s and stayed in work ever afterwards. It could partly be regional - MIL had moved south whereas DM lived in somewhere which was definitely more of a backwater (which I left as soon as I could and never went back).
Not necessarily; it much the same for boys; college of education was something you could go to if you didn’t get high enough A level grades for university.
I don't think it was much the same for boys. The boys who tended to go to Colleges of Education were the ones who wanted to be PE teachers. If I think back to my brother's school the boys tended to do science A levels and could get into University with a couple of CCs, back then. At my girls school most did Arts A levels for which I recall the typical offer was BCC for university. An awful lot missed that - which might just have been that my grammar school was a bit rubbish. I don't think it was untypical though - I live in a different part of the country now and in the 50 years plus since leaving school, I have lost count of the number of married couples I have met where the man has a University Education and the woman was a primary school teacher, quite a number of whom I know topped up their Cert of Education to a degree in their 30s/40s.
Places of work like banks didn't allow women to wear trousers. I went to an FE college for one of my A levels. Part way through the year they relaxed the no trousers rule for girls, as long as they were smart and not jeans. The reasoning was that many of the girls at the FE college were doing Secretarial courses so wouldn't be allowed to wear trousers at work, but the college had obviously noted that times were changing.
We moved into a new house on an estate in 1963 - they had central heating which was a big plus point . DH had moved into a newly built house in 1961 - that had storage heaters - which was also considered a big advance. I don't know when automatic washing machines were invented but twin tubs were pretty common by the 1960s. Freezers seem to come along in the mid seventies.