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Benchmarks

GSM8K

saturatedMathscontamination risk: highlaunched 2021-10-27

Benchmark metadata from benchwiki — this page mirrors their record so scores can be joined to it. The original is canonical.

What it measures

8.5K grade-school math word problems (2–8 arithmetic steps) — the default elementary-math benchmark and the classic chain-of-thought demonstration.

Primary metric
accuracy — exact match on the final numeric answer (%)
Judge model
not judged by a model
Human baseline
not reportedNo measured human baseline. The paper states only an informal difficulty target: 'a bright middle school student should be able to solve every problem.' Because the problems are grade-school and were verified solvable, the implicit human ceiling is near 100% for a capable solver — but no human solve-rate was measured, so the score is null. Treat this like MMLU's estimated-baseline situation, only softer: a target description, not a number.
Languages
English

Health

1,319 test problems → ±~1.2pt (95% CI) near 95%, so at the saturated frontier ordinary model gaps are within noise. But the dominant caveat here is NOT sampling error — it is robustness: GSM-Symbolic shows the same model's accuracy swings by tens of points under trivial rewordings, so a single GSM8K number overstates reasoning reliability far more than its CI suggests. Also non-comparable across protocols (direct vs CoT vs maj@k).

Status evidence
Frontier models cleared ~95% by 2023–24 and the reasoning-model era pushed scores to ~97–99%, collapsing headroom. But saturation here is the sharpest 'saturated ≠ solved' case on the wiki: GSM-Symbolic (Apple, 2024) showed that changing only names/numbers, and especially adding one irrelevant clause (GSM-NoOp), drops accuracy heavily across models — so the SCORE is saturated while the CAPABILITY (robust arithmetic reasoning) is not. saturated_date 2024-01 marks the point frontier scores stopped discriminating; the discriminating signal moved to harder math (MATH → AIME → FrontierMath) and to robustness variants.
Saturated since
2024-01-01
Refresh cycle
static
Test set public
yes

None. Public since 2021, MIT-licensed, and mirrored across the web WITH worked natural-language solutions — ideal memorization fodder. Fully static, no refresh. Structurally the same exposure that undid MMLU, and a direct reason the GSM-Symbolic and GSM8K-Platinum variants exist: to test whether a score survives when the exact public items are perturbed or cleaned.

Models scored on this benchmark

The reverse lookup, which is this site’s addition: every model here with a score on this benchmark. Independent measurements and vendor-reported numbers are kept apart rather than interleaved, because they are different claims.

Independently measured

ModelScoreHarnessMeasuredProvenanceHealth
DS-Coder-V2-InstructDeepSeek94.5%not reported2024-06-17ind.saturatedcontaminated
Qwen2.5-Coder-32B-InstructAlibaba93.0%not reported2024-11-21ind.saturatedcontaminated
GPT-4OpenAI92.0%not reported2023-03-14ind.saturatedcontaminated
GPT-4o-miniOpenAI91.3%not reported2024-07-18ind.saturatedcontaminated
Qwen2.5-Coder-32BAlibaba91.1%not reported2024-09-18ind.saturatedcontaminated
Phi-3.5-MoEMicrosoft88.7%not reported2024-08-17ind.saturatedcontaminated
Qwen2.5-Coder-7B-InstructAlibaba86.7%not reported2024-09-17ind.saturatedcontaminated
Phi-3.5-miniMicrosoft86.2%not reported2024-08-16ind.saturatedcontaminated
DS-Coder-V2-BaseDeepSeek85.8%not reported2024-06-17ind.saturatedcontaminated
Gemma-2 9BGoogle DeepMind84.9%not reportednot reportedind.saturatedcontaminated
Mistral-Nemo 12BMistral AI84.2%not reported2024-07-18ind.saturatedcontaminated
Qwen2.5-Coder-7BAlibaba83.9%not reported2024-09-18ind.saturatedcontaminated
Llama 3.1 8BMeta AI82.4%not reported2024-07-23ind.saturatedcontaminated
Gemini 1.5 Flash (001)Google DeepMind82.4%not reported2024-05-23ind.saturatedcontaminated
GPT-3.5OpenAI78.2%not reported2022-11-28ind.saturatedcontaminateddisputed
Yi-Chat 34B01.AI76.0%not reported2023-11-22ind.saturatedcontaminateddisputed
Mixtral 8x7BMistral AI74.4%not reported2023-12-11ind.saturatedcontaminated
Yi-Chat 34B01.AI71.7%not reported2023-11-22ind.saturatedcontaminateddisputed
LLAMA 2 70BMeta AI69.6%not reported2023-07-18ind.saturatedcontaminateddisputed
StableBeluga2 70BStability AI69.6%not reported2023-07-20ind.saturatedcontaminated
Yi 34B01.AI67.2%not reported2023-11-02ind.saturatedcontaminated
Qwen2.5-Coder-1.5BAlibaba65.8%not reported2024-09-18ind.saturatedcontaminated
LLAMA 2 70BMeta AI63.3%not reported2023-07-18ind.saturatedcontaminateddisputed
QWEN 14BAlibaba61.3%not reported2023-09-28ind.saturatedcontaminateddisputed
Qwen-Chat 14BAlibaba61.2%not reported2023-09-24ind.saturatedcontaminateddisputed
QWEN 14BAlibaba60.1%not reported2023-09-28ind.saturatedcontaminateddisputed
Qwen-Chat 14BAlibaba59.5%not reported2023-09-24ind.saturatedcontaminateddisputed
LLaMA2-Chat 70BMeta AI58.7%not reported2023-07-18ind.saturatedcontaminateddisputed
StarCoder2-15BHugging Face,ServiceNow,NVIDIA,BigCode57.7%not reported2024-02-20ind.saturatedcontaminated
code-davinci-002OpenAI56.8%not reported2022-03-15ind.saturatedcontaminated
LLAMA 2 70BMeta AI56.8%not reported2023-07-18ind.saturatedcontaminateddisputed
PaLM 540BGoogle Research56.5%not reported2022-04-04ind.saturatedcontaminated
Mistral 7BMistral AI54.4%not reported2023-09-27ind.saturatedcontaminateddisputed
Falcon 180BTechnology Innovation Institute54.4%not reported2023-09-06ind.saturatedcontaminated
LLaMA 65BMeta AI54.4%not reported2023-02-24ind.saturatedcontaminateddisputed
Falcon2-11B stage 4Technology Innovation Institute53.8%not reported2024-05-09ind.saturatedcontaminated
Baichuan2 13BBaichuan52.8%not reported2023-09-06ind.saturatedcontaminateddisputed
QWEN 7BAlibaba51.7%not reported2023-09-28ind.saturatedcontaminated
LLaMA 65BMeta AI50.9%not reported2023-02-24ind.saturatedcontaminateddisputed
GPT-3.5OpenAI50.6%not reported2022-11-28ind.saturatedcontaminateddisputed
Mistral 7BMistral AI50.0%not reported2023-09-27ind.saturatedcontaminateddisputed
LLAMA 2 70BMeta AI48.4%not reported2023-07-18ind.saturatedcontaminateddisputed
Mistral 7BMistral AI47.5%not reported2023-09-27ind.saturatedcontaminateddisputed
LLaMA2-Chat 70BMeta AI47.1%not reported2023-07-18ind.saturatedcontaminateddisputed
GPT-3.5 TurboOpenAI46.9%not reported2023-06-13ind.saturatedcontaminated
LLaMA 65BMeta AI46.6%not reported2023-02-24ind.saturatedcontaminateddisputed
Gemma 7BGoogle DeepMind46.4%not reported2024-02-21ind.saturatedcontaminated
Nemotron-4 15BNVIDIA46.0%not reported2024-02-26ind.saturatedcontaminated
Yi-Chat 6B01.AI44.9%not reported2023-11-22ind.saturatedcontaminateddisputed
LLaMA 33BMeta AI44.1%not reported2023-02-24ind.saturatedcontaminateddisputed
LLaMA 33BMeta AI42.3%not reported2023-02-24ind.saturatedcontaminateddisputed
LLAMA 2 34BMeta AI42.2%not reported2023-07-18ind.saturatedcontaminated
GPT-3.5OpenAI41.5%not reported2022-03-15ind.saturatedcontaminated
INTELLECT-1-InstructPrime Intellect,Hugging Face,Arcee AI38.6%not reported2024-11-29ind.saturatedcontaminated
Yi-Chat 6B01.AI38.4%not reported2023-11-22ind.saturatedcontaminateddisputed
Mistral 7BMistral AI38.1%not reported2023-09-27ind.saturatedcontaminateddisputed
LLaMA2-Chat 13BMeta AI36.9%not reported2023-07-18ind.saturatedcontaminateddisputed
LLaMA 33BMeta AI35.6%not reported2023-02-24ind.saturatedcontaminateddisputed
Mistral 7BMistral AI35.4%not reported2023-12-11ind.saturatedcontaminated
Mistral 7BMistral AI35.4%not reported2023-09-27ind.saturatedcontaminateddisputed
DS-Coder-33B-BaseDeepSeek,Peking University35.4%not reported2023-11-02ind.saturatedcontaminated
MPT-Instruct (30B)MosaicML34.4%not reported2023-06-22ind.saturatedcontaminated
LLaMA-2 13BMeta AI34.3%not reported2023-07-18ind.saturatedcontaminateddisputed
Falcon-Instruct (40B)Technology Innovation Institute33.8%not reported2023-05-25ind.saturatedcontaminated
StarCoder2-7BHugging Face,ServiceNow,NVIDIA,BigCode32.7%not reported2024-02-20ind.saturatedcontaminated
Yi 6B01.AI32.5%not reported2023-11-02ind.saturatedcontaminated
LLaMA 33BMeta AI32.0%not reported2023-02-24ind.saturatedcontaminateddisputed
LLaMA-2 13BMeta AI29.6%not reported2023-07-18ind.saturatedcontaminateddisputed
LLaMA-2 13BMeta AI28.9%not reported2023-07-18ind.saturatedcontaminateddisputed
LLaMA-2 13BMeta AI28.7%not reported2023-07-18ind.saturatedcontaminateddisputed
Baichuan 1-13B-BaseBaichuan26.8%not reported2023-07-11ind.saturatedcontaminated
Falcon 40BTechnology Innovation Institute25.0%not reported2023-03-15ind.saturatedcontaminateddisputed
Baichuan2 7BBaichuan24.6%not reported2023-09-20ind.saturatedcontaminateddisputed
LLaMA-2 13BMeta AI24.5%not reported2023-07-18ind.saturatedcontaminateddisputed
Baichuan2 7BBaichuan24.5%not reported2023-09-20ind.saturatedcontaminateddisputed
Vicuna v1.3 (13B)Large Model Systems Organization,University of California (UC) Berkeley22.6%not reported2023-06-18ind.saturatedcontaminated
Baichuan2 13BBaichuan22.1%not reported2023-09-06ind.saturatedcontaminateddisputed
StarCoder2-3BHugging Face,ServiceNow,NVIDIA,BigCode21.6%not reported2024-02-22ind.saturatedcontaminated
Falcon 40BTechnology Innovation Institute21.5%not reported2023-03-15ind.saturatedcontaminateddisputed
DS-Coder-6.7B-BaseDeepSeek,Peking University21.3%not reported2023-11-02ind.saturatedcontaminated
LLaMA 13BMeta AI20.5%not reported2023-02-24ind.saturatedcontaminateddisputed
LLaMA 13BMeta AI20.3%not reported2023-02-24ind.saturatedcontaminateddisputed
Falcon 40BTechnology Innovation Institute19.6%not reported2023-03-15ind.saturatedcontaminateddisputed
LLaMA 13BMeta AI17.8%not reported2023-02-24ind.saturatedcontaminateddisputed
Gemma 2BGoogle DeepMind17.7%not reported2024-02-21ind.saturatedcontaminated
LLAMA 2 7BMeta AI16.7%not reported2023-07-18ind.saturatedcontaminateddisputed
MPT 30BMosaicML16.4%not reported2023-06-22ind.saturatedcontaminateddisputed
LLAMA 2 7BMeta AI16.2%not reported2023-07-18ind.saturatedcontaminateddisputed
LLAMA 2 7BMeta AI16.0%not reported2023-07-18ind.saturatedcontaminateddisputed
LLaMA 13BMeta AI15.4%not reported2023-02-24ind.saturatedcontaminateddisputed
MPT 30BMosaicML15.2%not reported2023-06-22ind.saturatedcontaminateddisputed
LLAMA 2 7BMeta AI14.6%not reported2023-07-18ind.saturatedcontaminateddisputed
LLaMA 7BMeta AI11.0%not reported2023-02-24ind.saturatedcontaminateddisputed
LLaMA 7BMeta AI9.8%not reported2023-02-24ind.saturatedcontaminateddisputed
BLOOM (176B)Hugging Face,BigScience9.5%not reported2022-07-06ind.saturatedcontaminated
Baichuan 1-7BBaichuan9.2%not reported2023-06-01ind.saturatedcontaminated
MPT 7BMosaicML9.1%not reported2023-05-05ind.saturatedcontaminateddisputed
davinci (175B)OpenAI9.0%not reportednot reportedind.saturatedcontaminated
MPT 7BMosaicML8.6%not reported2023-05-05ind.saturatedcontaminateddisputed
LLaMA 7BMeta AI8.0%not reported2023-02-24ind.saturatedcontaminateddisputed
MPT 7BMosaicML6.8%not reported2023-05-05ind.saturatedcontaminateddisputed
Falcon 7BTechnology Innovation Institute6.8%not reported2023-04-24ind.saturatedcontaminateddisputed
Falcon 7BTechnology Innovation Institute5.5%not reported2023-04-24ind.saturatedcontaminateddisputed
Falcon 7BTechnology Innovation Institute4.6%not reported2023-04-24ind.saturatedcontaminateddisputed
DS-Coder-1.3B-BaseDeepSeek,Peking University4.4%not reported2023-11-02ind.saturatedcontaminated
OPT (175B)Meta AI4.0%not reported2022-05-02ind.saturatedcontaminated
Falcon 7BTechnology Innovation Institute4.0%not reported2023-04-24ind.saturatedcontaminateddisputed
LLaMA2-Chat 13BMeta AI2.7%not reported2023-07-18ind.saturatedcontaminateddisputed
OPT (66B)Meta AI1.8%not reported2022-05-03ind.saturatedcontaminated
curie (6.7B)OpenAI1.6%not reportednot reportedind.saturatedcontaminated
babbage (1.3B)OpenAI0.7%not reported2020-06-22ind.saturatedcontaminated
ada (350M)OpenAI0.6%not reportednot reportedind.saturatedcontaminated
text-curie-001OpenAI0.6%not reportednot reportedind.saturatedcontaminated
text-ada-001OpenAI0.4%not reportednot reportedind.saturatedcontaminated
text-babbage-001OpenAI0.0%not reportednot reportedind.saturatedcontaminated

Vendor-reported

Reported by the model's own maker. No independent measurement of these numbers is on this site.

ModelScoreHarnessMeasuredProvenanceHealth
Claude Instant 1.2Anthropic86.7%not reported2023-08-09vendorsaturatedcontaminatedvendor only
Claude Instant 1.1Anthropic80.9%not reportednot reportedvendorsaturatedcontaminatedvendor only

Trajectory

Best score measured on this site

0255075100babbage (1.3B): 0.7%code-davinci-002: 56.8%GPT-3.5: 41.5%PaLM 540B: 56.5%OPT (175B): 4.0%OPT (66B): 1.8%BLOOM (176B): 9.5%GPT-3.5: 78.2%GPT-3.5: 50.6%LLaMA 65B: 54.4%LLaMA 65B: 50.9%LLaMA 65B: 46.6%LLaMA 33B: 44.1%LLaMA 33B: 42.3%LLaMA 33B: 35.6%LLaMA 33B: 32.0%LLaMA 13B: 20.5%LLaMA 13B: 20.3%LLaMA 13B: 17.8%LLaMA 13B: 15.4%LLaMA 7B: 11.0%LLaMA 7B: 9.8%LLaMA 7B: 8.0%GPT-4: 92.0%Falcon 40B: 25.0%Falcon 40B: 21.5%Falcon 40B: 19.6%Falcon 7B: 6.8%Falcon 7B: 5.5%Falcon 7B: 4.6%Falcon 7B: 4.0%MPT 7B: 9.1%MPT 7B: 8.6%MPT 7B: 6.8%Falcon-Instruct (40B): 33.8%Baichuan 1-7B: 9.2%GPT-3.5 Turbo: 46.9%Vicuna v1.3 (13B): 22.6%MPT-Instruct (30B): 34.4%MPT 30B: 16.4%MPT 30B: 15.2%Baichuan 1-13B-Base: 26.8%LLAMA 2 70B: 69.6%LLAMA 2 70B: 63.3%LLaMA2-Chat 70B: 58.7%LLAMA 2 70B: 56.8%LLAMA 2 70B: 48.4%LLaMA2-Chat 70B: 47.1%LLAMA 2 34B: 42.2%LLaMA2-Chat 13B: 36.9%LLaMA-2 13B: 34.3%LLaMA-2 13B: 29.6%LLaMA-2 13B: 28.9%LLaMA-2 13B: 28.7%LLaMA-2 13B: 24.5%LLAMA 2 7B: 16.7%LLAMA 2 7B: 16.2%LLAMA 2 7B: 16.0%LLAMA 2 7B: 14.6%LLaMA2-Chat 13B: 2.7%StableBeluga2 70B: 69.6%Falcon 180B: 54.4%Baichuan2 13B: 52.8%Baichuan2 13B: 22.1%Baichuan2 7B: 24.6%Baichuan2 7B: 24.5%Qwen-Chat 14B: 61.2%Qwen-Chat 14B: 59.5%Mistral 7B: 54.4%Mistral 7B: 50.0%Mistral 7B: 47.5%Mistral 7B: 38.1%Mistral 7B: 35.4%QWEN 14B: 61.3%QWEN 14B: 60.1%QWEN 7B: 51.7%Yi 34B: 67.2%DS-Coder-33B-Base: 35.4%Yi 6B: 32.5%DS-Coder-6.7B-Base: 21.3%DS-Coder-1.3B-Base: 4.4%Yi-Chat 34B: 76.0%Yi-Chat 34B: 71.7%Yi-Chat 6B: 44.9%Yi-Chat 6B: 38.4%Mixtral 8x7B: 74.4%Mistral 7B: 35.4%StarCoder2-15B: 57.7%StarCoder2-7B: 32.7%Gemma 7B: 46.4%Gemma 2B: 17.7%StarCoder2-3B: 21.6%Nemotron-4 15B: 46.0%Falcon2-11B stage 4: 53.8%Gemini 1.5 Flash (001): 82.4%DS-Coder-V2-Instruct: 94.5%DS-Coder-V2-Base: 85.8%GPT-4o-mini: 91.3%Mistral-Nemo 12B: 84.2%Llama 3.1 8B: 82.4%Phi-3.5-mini: 86.2%Phi-3.5-MoE: 88.7%Qwen2.5-Coder-7B-Instruct: 86.7%Qwen2.5-Coder-32B: 91.1%Qwen2.5-Coder-7B: 83.9%Qwen2.5-Coder-1.5B: 65.8%Qwen2.5-Coder-32B-Instruct: 93.0%INTELLECT-1-Instruct: 38.6%babbage (1.3B): 0.7%, best at the timecode-davinci-002: 56.8%, best at the timeGPT-3.5: 78.2%, best at the timeGPT-4: 92.0%, best at the timeDS-Coder-V2-Instruct: 94.5%, best at the time20202024
Each dot is a score measured on this site; the line steps up at each new best and stays flat until the next one. A line that has stopped climbing is what saturation looks like.

As benchwiki records it

GPT-3 175B (fine-tuned) — 35 on 2021-10-27 (vendor-reported)PaLM 540B (8-shot CoT) — 56.9 on 2022-01-28 (independent)PaLM 540B (CoT + self-consistency) — 74.4 on 2022-03-21 (independent)GPT-4 (5-shot CoT) — 92 on 2023-03-14 (vendor-reported)20212023920
independent · vendor-reported. Points are not joined: the scores come from different models, harnesses and protocol versions, and a line between them would claim a continuity the data does not have.

Where results are tracked

Leaderboards benchwiki lists for this benchmark. These are links out, not sources this site ingests — no score below comes from any of them.

Source

This record is maintained by benchwiki and mirrored here. Read the original. Upstream last updated 2026-07-22; fetched 2026-10-19 by this site.