My DD1 has just moved schools (She is in year 1), and the difference between the two schools is huge.
In her old school - she used to have weekly spelling tests (with words like alphabet, author, kitchen). Now she is back to learning sounds again.
In her old school, she was reading two levels higher than she is now. Now I am told she is top set - that would have been middle set in her last school. Her school book this week is one she read last year in reception.
In her old school, she had key words to learn such as transparent and opaque. She has nothing other than reading here.
Last week, I was given a homework that she was given in her last school a year ago, in reception.
In her last school, she learnt to tell the time. Here, she is just learning to tell the time to the nearest hour.
In her old school, all the children write in cursive, most of them write in joined up handwriting too. Here, most of the children still write in print.
In her old school, she was expected to write stories and complete extended writing tasks for homework. Here, children are expected to learn their sounds and perhaps complete a worksheet for homework.
In her last school, she learnt French and had been learning it from reception. Here, she won't learn French for another year yet.
My DD is / was top set in both schools.
But... both of these schools are state schools. It just goes to show that the standards between schools vary so much. I think her last school was very academic and quite pushy. This school is obviously far less pushy / academic - but places a lot more emphasis on the emotional and holistic well being of the child.
I'm waffling but the point I'm trying to make is I don't think you can just compare state and private and say one will be better than another -I think it varies from school to school.