Rejected petition Admission of Black Children at Independent Schools in the UK

I have seen many websites of independent schools around the UK which are:
My main certain concern is that I have NOT seen any and very few (1 or 2) black children within these schools.
There are hundreds and thousands of black children who are very clever and talented, but not given the chance to excel in their education especially in the independent schooling sector.
It would be a shame to know that black young children as young as three have to face on a daily basis the injustice of feeling unworthy because of the colour of their skin which causes a great amount of upset and distress.

Is it a custom or tradition within the British System to enter a very limited amount of black children within these schools if so why?
When or if they enter these independent schools, are they treated or will be treated?
Can you be so kind to give your truthful answer? This would be a great help.