IMC 2003
contestants 185 · problems 12 (6+6) · scale 0–20 · 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 | 8.8 | 83% | 5% | 0.51 | sequences & series | ||
| P2 | medium | 6.1 | 38% | 13% | 0.54 | abstract algebra | ||
| P3 | medium | 5.8 | 45% | 25% | 0.57 | linear algebra | ||
| P4 | easy | 7.6 | 69% | 14% | 0.52 | number theory | ||
| P5 | hard | 3.7 | 29% | 46% | 0.54 | real analysisintegration | ||
| P6 | very hard | 1.6 | 8% | 74% | 0.44 | polynomialsinequalities | ||
| Day 2 | ||||||||
| P7 | easy | 7.9 | 76% | 12% | 0.44 | linear algebra | ||
| P8 | easy | 6.7 | 56% | 18% | 0.57 | integrationreal analysis | ||
| P9 | easy | 6.0 | 56% | 29% | 0.54 | topology & metric spaces | ||
| P10 | very hard | 2.2 | 12% | 67% | 0.46 | combinatorics | ||
| P11 | hard | 2.9 | 18% | 42% | 0.50 | set theory & logicreal analysis | ||
| P12 | very hard | 1.5 | 12% | 84% | 0.38 | sequences & series | ||
A diploma-cohort cell needs at least 5 scores, else it shows “—”. How these statistics are computed →