Kate doesn't write letters every day.
В континиусе это предложение нельзя - там есть слово every, а оно ключевое для Present Simple.
I am hungry; I am not hungry;
I am a good swimmer; I am not a good swimmer.
I am interested in football;I am not interested in football.
The Cinderella cleans up the house. Washes the floors and helps the stepmother
When will be this house sold?
How much money will be spent on rebuilding the house?
What prizes will be winners given?
Why will be the parents sent invitations?
When will be the tickets bought for us?
By whom will be the pupils met at the station?
What places will be they shown?
Where will be they taken for lunch?