Unofficial archive — problems, solutions & results © IMC, reproduced with permission.

Studolymp / IMC / 1999

IMC 1999
contestants
87
problems
12 (6+6)
score scale
0–20
per-problem results
yes
Notes on this edition’s data
  • Scored on a 20-point scale this era (8/16 = solved).

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.

#difficultyavgsolvednear-0disctopics
Day 1
P1medium5.533%8%0.46linear algebrapolynomials
P2medium5.447%39%0.64sequences & seriescombinatorics
P3easy6.562%32%0.51functional equations
P4medium4.131%43%0.71functional equations
P5medium5.548%33%0.58combinatorics
P6killer0.10%97%0.22real analysisinequalities
Day 2
P7easy7.574%22%0.25abstract algebra
P8medium5.649%32%0.58probabilitycombinatorics
P9hard3.729%53%0.54inequalities
P10medium3.931%44%0.67functional equationsinequalities
P11killer0.30%90%0.41abstract algebracombinatorics
P12killer0.42%91%0.30number theorycombinatorics

Field cohort = total ≥ 6 points; difficulty is computed live by the API. Discrimination is the corrected item–total correlation.