And you can get work with zero qualifications so that's bs too.
Yes you can, but they will be mostly low paid zero hours type of jobs or supermarket work, cleaning, farm labouring etc. Why do you think it is OK to limit their options? Why are you so adamant that your child shouldn't take maths and English GCSE? Do they have extra needs? Are they struggling healthwise/mentally?
This is what was on the link I posted upthread
England
"You can leave school on the last Friday in June if you’ll be 16 by the end of the summer holidays.
You must then do one of the following until you’re 18:
stay in full-time education, for example at a college
start an apprenticeship or traineeship
spend 20 hours or more a week working or volunteering, while in part-time education or training
Scotland
If you turn 16 between 1 March and 30 September you can leave school after 31 May of that year.
If you turn 16 between 1 October and the end of February you can leave at the start of the Christmas holidays in that school year.
Wales
You can leave school on the last Friday in June, as long as you’ll be 16 by the end of that school year’s summer holidays
Northern Ireland
If you turn 16 during the school year (between 1 September and 1 July) you can leave school after 30 June.
If you turn 16 between 2 July and 31 August you can’t leave school until 30 June the following year."