IMC 2023
contestants
393
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 | 7.7 | 72% | 6% | 0.46 | functional equationsreal analysis | |
| P2 | easy | 7.0 | 65% | 23% | 0.27 | linear algebra | |
| P3 | medium | 4.1 | 30% | 40% | 0.64 | polynomialsfunctional equations | |
| P4 | killer | 1.0 | 3% | 82% | 0.41 | number theory | |
| P5 | killer | 0.1 | 1% | 98% | 0.28 | combinatorics | |
| Day 2 | |||||||
| P6 | medium | 5.3 | 47% | 36% | 0.48 | games & processeslinear algebra | |
| P7 | hard | 3.8 | 26% | 45% | 0.49 | real analysis | |
| P8 | very hard | 2.1 | 14% | 59% | 0.52 | combinatoricsinequalities | |
| P9 | killer | 0.7 | 1% | 73% | 0.41 | geometry | |
| P10 | killer | 0.2 | 1% | 98% | 0.24 | number theorysequences & series | |
Field cohort = total ≥ 3 points; difficulty is computed live by the API. Discrimination is the corrected item–total correlation.