IMC 2024
contestants 401 · problems 10 (5+5) · 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 | 8.4 | 79% | 7% | 0.41 | complex analysis | ||
| P2 | easy | 6.0 | 54% | 34% | 0.51 | sequences & series | ||
| P3 | medium | 5.3 | 40% | 30% | 0.55 | linear algebracombinatorics | ||
| P4 | very hard | 1.4 | 12% | 82% | 0.52 | group theory | ||
| P5 | killer | 0.1 | 1% | 97% | 0.25 | probabilitygeometry | ||
| Day 2 | ||||||||
| P6 | easy | 8.2 | 77% | 11% | 0.35 | combinatoricsreal analysis | ||
| P7 | easy | 6.7 | 52% | 16% | 0.55 | linear algebrapolynomials | ||
| P8 | medium | 4.8 | 34% | 33% | 0.66 | sequences & seriesinequalities | ||
| P9 | killer | 0.2 | 1% | 97% | 0.34 | combinatorics | ||
| P10 | killer | 0.3 | 2% | 97% | 0.29 | number theory | ||
A diploma-cohort cell needs at least 5 scores, else it shows “—”. How these statistics are computed →