IMC 2022
contestants 663 · problems 8 (4+4) · scale 0–10 · per-problem yesPer-problem difficulty
Day 1
Day 2
Difficulty vs discrimination
Each dot is one problem. X — how many solved it (scored ≥ 8 of 10); Y — discrimination, i.e. how well the problem told strong contestants from weak ones (score-vs-total correlation).
A good problem sits high and away from the edges. Bottom-left dots separated nobody — almost everyone failed them the same way.
Problem statistics
Same data as the Day 1 / Day 2 charts above. Add diploma cohorts to compare winners against the field.
| # | difficulty | all | disc | topics | ||||
|---|---|---|---|---|---|---|---|---|
| avg | solved | near-0 | ||||||
| Day 1 | ||||||||
| P1 | easy | 8.9 | 86% | 7% | 0.25 | integrationinequalities | ||
| P2 | medium | 5.6 | 43% | 24% | 0.55 | linear algebra | ||
| P3 | very hard | 2.3 | 12% | 55% | 0.64 | number theorycombinatorics | ||
| P4 | killer | 0.2 | 1% | 96% | 0.43 | combinatorics | ||
| Day 2 | ||||||||
| P5 | medium | 5.0 | 49% | 45% | 0.41 | combinatorics | ||
| P6 | hard | 3.1 | 21% | 55% | 0.53 | number theorycombinatorics | ||
| P7 | hard | 3.9 | 28% | 42% | 0.53 | linear algebra | ||
| P8 | very hard | 1.3 | 8% | 80% | 0.46 | probabilitygeometry | ||
A diploma-cohort cell needs at least 5 scores, else it shows “—”. How these statistics are computed →