IMC 2010
contestants
328
problems
10 (5+5)
score scale
0–10
per-problem results
yes
Notes on this edition’s data
- Each problem marked out of 10.
Per-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.
| # | difficulty | avg | solved | near-0 | disc | topics | |
|---|---|---|---|---|---|---|---|
| Day 1 | |||||||
| P1 | easy | 9.5 | 95% | 5% | 0.22 | integrationinequalities | |
| P2 | medium | 5.4 | 37% | 19% | 0.51 | sequences & series | |
| P3 | hard | 3.3 | 29% | 64% | 0.49 | sequences & series | |
| P4 | very hard | 1.5 | 7% | 74% | 0.39 | number theory | |
| P5 | killer | 0.3 | 2% | 97% | 0.29 | inequalities | |
| Day 2 | |||||||
| P6 | medium | 7.4 | 47% | 3% | 0.49 | sequences & seriesreal analysis | |
| P7 | medium | 5.2 | 48% | 39% | 0.35 | inequalities | |
| P8 | very hard | 1.2 | 7% | 85% | 0.40 | group theory | |
| P9 | killer | 0.5 | 2% | 93% | 0.42 | linear algebracombinatorics | |
| P10 | killer | 0.1 | 1% | 99% | 0.24 | functional equationsnumber theory | |
Field cohort = total ≥ 3 points; difficulty is computed live by the API. Discrimination is the corrected item–total correlation.