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This research introduces KCSAT-ML, a dataset derived from Korean national exam mathematics problems that provides per-item difficulty signals grounded in actual human performance rather than synthetic proxies. By pairing this benchmark with the Difficulty-aligned Reasoning Gain (DRG) metric, the study reveals critical flaws in current reasoning models, specifically how test-time scaling often fails to generalize to items humans find difficult and exposes misalignment issues hidden by aggregate accuracy scores. The findings offer a more rigorous framework for evaluating mathematical reasoning capabilities across various vision-language and language models.
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KCSAT-ML: Probing Reasoning Models with Nationwide-Cohort Human Difficulty

arXiv3 min read

arXiv:2606.10403v3 Announce Type: replace Abstract: Math reasoning benchmarks have proliferated, yet most lack a per-item difficulty signal grounded in actual human performance. We introduce KCSAT-ML, a decade (2014-2025) of Korean College Scholastic Ability Test (KCSAT; Suneung) mathematics: 664 problems with a 339-item core set carrying official per-item error rates from nationwide cohorts of hundreds of thousands of examinees. We pair the benchmark with Difficulty-aligned Reasoning Gain (DRG): a score-orthogonal metric that asks whether a model's mistakes concentrate on the items humans found hard, or on items humans found easy. Together they expose, across a wide range of VLMs (and LLMs with OCR), three patterns: (i) low-budget accuracy collapses on the high-human-error tail at every model size; (ii) test-time scaling (TTS) raises token use roughly linearly with cohort error rate, while accuracy gains follow a non-monotonic curve; (iii) within a single family, TTS flips between anti-scaling on the hardest items and overthinking on easier ones -- two faces of the same alignment failure. With the proposed DRG metric, we find that models with near-identical accuracy can sit at near-opposite values: one model gets wrong what humans also find hard, while another solves the hardest items yet fails on items humans find easy, which is a critical contrast that aggregate accuracy hides. Our code and dataset builder is fully open-sourced at https://github.com/naver-ai/KCSAT-ML.

Abstract:Math reasoning benchmarks have proliferated, yet most lack a per-item difficulty signal grounded in actual human performance. We introduce KCSAT-ML, a decade (2014-2025) of Korean College Scholastic Ability Test (KCSAT; Suneung) mathematics: 664 problems with a 339-item core set carrying official per-item error rates from nationwide cohorts of hundreds of thousands of examinees. We pair the benchmark with Difficulty-aligned Reasoning Gain (DRG): a score-orthogonal metric that asks whether a model's mistakes concentrate on the items humans found hard, or on items humans found easy. Together they expose, across a wide range of VLMs (and LLMs with OCR), three patterns: (i) low-budget accuracy collapses on the high-human-error tail at every model size; (ii) test-time scaling (TTS) raises token use roughly linearly with cohort error rate, while accuracy gains follow a non-monotonic curve; (iii) within a single family, TTS flips between anti-scaling on the hardest items and overthinking on easier ones -- two faces of the same alignment failure. With the proposed DRG metric, we find that models with near-identical accuracy can sit at near-opposite values: one model gets wrong what humans also find hard, while another solves the hardest items yet fails on items humans find easy, which is a critical contrast that aggregate accuracy hides. Our code and dataset builder is fully open-sourced at this https URL.

24 pages, 14 figures, 13 tables. Accepted to Findings of EMNLP 2026

Computation and Language (cs.CL)

arXiv:2606.10403 [cs.CL]

(or arXiv:2606.10403v3 [cs.CL] for this version)

https://doi.org/10.48550/arXiv.2606.10403 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 322 words

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