How can you tell you have at Gifted and Talented child?

[Blossom8]

My daughter who is nearly 2 years and 10 months knows:

her alphabets
count with a few errors from 1-80
can order numbers 1-50
knows the days of the week and months of the year
recognises and reads around 75 words
knows her colours
knows her shapes including a pentagon, octagon, hexagon etc
enjoys books
can do jigsaws for 2-6 year olds

this is my first child and she is a shy girl. My dilemma is whether to send her to private prep school instead of state primary school. I'm concerned that by going to a state school, the school will not provide for more able children.

My local state school recently got 68% in their SATS and rated good by Ofsted. However, after speaking to parents with children at this state school, they mentioned about recent high teacher turnover, bullying and the headteacher being ignorant in her approach to tackle these issues. When we visited this state school, the children appeared happy but I did not see much academic achievement.

I also read on here about bright kids being bored and unhappy at state school because they already know the stuff being taught and the teachers objective was getting the rest of the class up to Level 4 and not challenging the more able children.

Have any parents sent their kids to private prep having a bright kid and thought they have done the right thing and it was worth it?

I want the best for my child not just academically and I will have to make financial sacrifices if we decide to go down the private route.

Thank you Blossom8. I agree that a private school should take children on ability but in our case it didn't and i have posted about this before. One of the schools in question had an open day. Dd's primary school head had a letter written for dd as a sort of recommendation letter. No-one had gone to a private school before from dd's primary. Anyway, open day near so i phoned the school in question about booking a place for the open day and that we would be looking at a full bursary (the school has quite a lot of these). The school asked what primary my dd was at and i said xxx. The woman on phone (she said she was the bursar) almost had a heart attack. I asked about dd taking the entrance test and how do they pick who would get bursary etc. Woman said that priority is given to children ALREADY at a fee paying school. So i said that if my dd scored 100% in the test she would not get in? Correct. So i said that it is leaving bright children behind again and that my dd could be "brainier" than children at the school in question. Was told "i doubt that very much". She doesn't even know my dd. The only criteria on the school website for a bursary was to "work towards level 5 sats in year 6". Dd had 5A in years 4 and 5 and told school this. Not interested but was told that dd could take the entrance test "to see how she gets on". I declined. Her head at primary went mad and wanted to do something but i said thank you but not to bother. Dd fine with it now and happy at school and doing very well (is in year 8 and on levels 7 and 8) so thats all that matters. Best wishes everyone.