My daughter is like that, she is 13, I have enrolled her on a course of activities for the summer holidays, otherwise she would be quite happy to sit in her room all day watching tv or playing the computer which I dont think is healthy! It was organised by the school and she gets 9 days out over the 6 weeks to places like thorpe park, the zoo, art classes etc, all for �20!!!! which I was very pleased about, they pick her up at a pick up point just down the road from me and even provide lunch...I was impressed! Its very hard to get them motivated when they are like this...maybe you should find out if the school are running any courses or activities in the 6 weeks holidays, or maybe suggest taking her and a friend to the pictures, take them in there and make sure they get in safely and go and do a bit of shopping and meet them after when the film has finished, I did this with my daughter and she loved the idea of independence! Hope this is of some use to you and good luck!