IMC 2000 statistics — difficulty & discrimination

Studolymp / IMC / 2000

IMC 2000

contestants

117

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.

	#	difficulty	avg	solved	near-0	disc	topics
Day 1
	P1	easy	8.1	66%	5%	0.65	real analysis
	P2	easy	6.2	50%	21%	0.66	polynomials
	P3	medium	5.4	45%	33%	0.58	linear algebra
	P4	hard	4.7	22%	26%	0.62	inequalities sequences & series
	P5	hard	3.9	25%	39%	0.59	abstract algebra
	P6	very hard	1.3	5%	68%	0.47	sequences & series real analysis
Day 2
	P7	medium	6.8	47%	11%	0.61	combinatorics geometry
	P8	easy	6.2	55%	25%	0.57	real analysis
	P9	easy	5.5	53%	32%	0.65	polynomials complex analysis
	P10	medium	4.6	35%	36%	0.66	integration polynomials
	P11	very hard	2.6	9%	54%	0.53	functional equations
	P12	hard	2.5	18%	68%	0.52	linear algebra

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