I'm a teacher and also think SATs are the most ridiculous thing ever. To be honest SATs in Y2 should be more low key than ever as the teachers can now use teacher assessment rather than relying solely on how a child performs on the day. Having said that I know most will do a test as teachers prefer to be sure they are marking the levels correctly.
Sending 4 test papers home to practice. Just plain wrong. These children are 6 and 7 years old, for goodness sake. And your daughter's teacher should surely know her pupils well enough to know if this kind of thing would unduly worry them. Grrr, it makes me so mad. They should be playing outside, having fun because they are children.
One day they might just ban them altogether.