We take a deck of cards, I was happy enough with the weight of them, but then my 11yo son won a mini deck of cards in a high end bon-bon last Christmas, even better!
Your daughter will be a bit young, but we did get a game of scrabble on my phone, my kids have been playing the game at home for a few years. We are now at the point I can no longer easily beat them

We do have an actual travel scrabble as well and yes, I have also carried that.
I got a lightweight crocheted frisbee from wildearth (no affiliation) a few years ago too, it folds and also packs nicely in with my cookset and makes a fine funny looking hat

They still sell them. It doesn't hurt when it hits you either- bonus.
This will sound silly, but a knife that is age appropriate is good. My guys have learned the hard way, but no serious injuries, how to handle knives and are very sensible with them. They feel a sense of pride and responsibility in carrying them and supplying them for tasks around camp if I 'can't find' -wink wink- mine. I carry skin glue in my first aid kit just in case.
Mostly the kids just make spears, whittle, build shelters out of leaves etc