Controversial tests taken by England's seven-year-olds will be scrapped by 2023, but nine-year-olds will have to sit times table tests under new plans.
Announcing the end to compulsory SATs, the government said children would instead have a "baseline" check in reception year, aged four or five.
This would allow their progress to be tracked and would "free up" teachers, the education secretary said.
But times table tests for year four pupils will be introduced in 2019/20.
The Key Stage 1 tests in reading, writing, maths and science - used to monitor schools' progress - have been compulsory for seven-year-olds in England with around 500,000 children taking them each year.