New assessments for children aged four would begin in 2016, according to a report in the Times.
The newspaper says that school children could be assessed between two and six weeks after a starting school in the reception year.
The results could be checked via an external monitoring system, the newspaper reports.
The report says the DfE wants results to be reported as a “scaled score” between 80 and 130 points rather than levels, such as Level 4 or Level 5.
More top news
A cloudy afternoon for many areas across the UK. The winds also strong with gusts on western coasts of Scotland. Temperatures remain mild.
A girl was told she would never walk again after she fell into a scalding bath as a baby has taken her first steps - after a leg amputation.
Could changes to diet could prevent or even reverse diabetes and help the NHS cut some of the £10 billion annual spend on treatment?