Cash for maths for 13 year old DD?

[almostgrownup]

Would be grateful for feedback on whether this is a stupid idea or not:

DD2 (13) is in Year 9 and not interested in schoolwork, partly because it's not cool, also because DD1 (15) is academic and bookish. In fact she is pretty disruptive at school and gets detentions, often skips homework. Has written off maths in particular ("I'm not clever") and does below ability. We've mentioned on and off for year or so the possibility of having a maths tutor for one-to-one sessions. She finally asked for this a couple of weeks ago and I have gratefully arranged someone to come round once a week for an hour starting after half term.

Should I reward her for the hour which will undoubtedly pass pretty slowly and tediously for her? Was thinking of giving £5 cash to her after each session if she had concentrated. She gets around £22 a month pocket money at the moment so this would be a lot more income for her. Or gift cards from her favourite shops? Or should the increased confidence (which might be a while coming) be its own award?

Thanks for your thoughts.

We personally have stayed away from the cash for study idea, although I know a couple of my friends 'paid' their children to practice a musical instrument to keep them focussed... my DD was playing the same instrument, but I felt that the desire has to come from within and not just superficially from a cash driven incentive.. I guess maths is a little different as it's needed more and is possibly less fullfilling.. however I think you need to look at the long term aspect of payment and how your DD1 will feel if DD2 gets money for something like this... maybe better to reward study with something she wants to do - cinema, time out etc rather than hard cash!
just my tuppenceworth!!

I wouldn't go down the cash for study route tbh. But I would consider letting her choose her favourite dinner on the night of the class, as an incentive. Or perhaps saying that after a half term of good attitude with the tutor (combined with a half term of no detentions at school) you'll take her for a special day out or something.