The eight stages
Stages 3 to 10. There are easier problems in the collection, but the list starts at AMC 10 level; below that you don't need an ordering, you need a textbook.
Stage 3
Stage 4
Stage 5
Stage 6
Stage 7
Stage 8
Stage 9
Stage 10
A note on stage 10
Stages 3 to 9 are placed by measured difficulty. Stage 10 isn't. Nothing in the source data records which shortlist problems were the hardest ones, so these forty are simply the top of the hardest group rather than problems held against a fixed standard. Worth knowing before you read too much into the number.