My kids are only 6 and 8. So far the only thing is when you are 7 you get $2 a week paid fortnightly. They usually get a $20 voucher or note from their father's parents at Christmas and birthdays as well. I will give a small voucher if ds8 is saving for something. Ds6 still has the $5 someone gave him on his 5th birthday so I haven't been asked for anything by him.
With regards to the OP's question. Your offer to give part of the scholarship money was generous. It is reasonabke to expect your children to want to assist in paying for activities if the opportunity arises. Scholarships are intended to make things more affordable and I assume if you could easily pay the whole price you wouldn't have asked her to apply.
