We have a rota pinned up in the kitchen. It shows all after school clubs, homework due dates (eg spelling test every Friday, reading diary to be checked weds etc). All of us have chores every day, dependent on other commitments. I think this shows DD (10) that we all contribute to running the house.
Monday -
Mum, clean kitchen, do online Tesco order
Dad, bins, dishwasher
DD, water plants, sort washing, practice spellings
Tuesday -
Mum, clean bathroom, ironing, light washing
Dad, bins, our with mates
DD, ballet class, spellings
Etc etc
Every term, I increase the level of chores ever so slightly.
School work, relaxing and fun are priorities. But I think that 10 mins a day on chores is reasonable
It may sound a bit much, but it works for us.