Students have breathed a sigh of relief after they were told their A-level grades will now be based on teachers' assessments if these were higher than their moderated marks.
GCSE pupils nervously awaiting their results on Thursday can also choose the grades their teachers determined instead of the controversial algorithm that Ofqual devised.
So, which grades can be used?
A-level and GCSE students can use the grades submitted by schools and colleges to exam boards, called Centre Assessment Grades (CAGs) - if their moderated grade was lower.
Teachers submitted grades they believe the students would have received had the coronavirus pandemic not forced the cancellation of this summer's exams.
What were the issues with moderated grades?
Ofqual's algorithm was criticised for penalising disadvantaged students and benefiting private pupils.
Schools and colleges with larger cohorts reportedly saw more grades downgraded than those with smaller ones.
Can appeals still be made on the basis of mock exams?
Students were promised last week that they could use the highest result out of their calculated grade from exam boards, their mock exam or sitting the actual exam in the autumn - under a "triple lock pledge".
But Mr Williamson has said mock exam results will no longer be a key part of the appeals process for A-level and GCSE students.
Will universities be able to admit students who now have the grades?
The government has said it will remove temporary student number controls - introduced this year to stop over-recruitment due to COVID-19 - to help students progress.
Courtesy Sky News