Benchmarks · Mathematics

GSM8K

also: Grade School Math 8K

Can a model solve a grade-school arithmetic word problem that takes several linked steps to work through, rather than a single calculation?

OpenAIReleased 27 October 2021Saturated

GSM8K asks a narrower question than its reputation suggests: not whether a model knows advanced mathematics, but whether it can chain two to eight elementary arithmetic steps together without losing the thread. OpenAI researcher Karl Cobbe and colleagues built 8,500 grade-school word problems by hand, reasoning that a task simple enough for a child would still expose step-by-step reasoning versus pattern-matching. Grading is strict — only the final number counts — and the paper’s real contribution was showing that training a separate “verifier” to rank candidate solutions beat scaling up the solving model alone.

The benchmark became a standard reasoning citation almost immediately: chain-of-thought prompting used it as a headline demonstration in 2022, showing that simply asking a model to show its working beat OpenAI’s fine-tuned-and-verified baseline with no retraining. By GPT-4’s 2023 arrival scores were above 90%, though OpenAI flagged that some GSM8K training examples had leaked into its pre-training data — an early instance of the contamination problem that would dog the benchmark.

That question was tested directly in 2024, when Scale AI built GSM1k, a fresh problem set matched to GSM8K’s style and difficulty; several open model families dropped by double digits while frontier closed models barely moved. GSM8K is now widely treated as saturated — a 2025 MIT study argued the plateau near 95% partly reflected label noise rather than genuine parity — and many current frontier releases no longer report a GSM8K score at all, having moved to harder tests.

The set

8,500 human-written word problems (7,500 training, 1,000 test), each solvable in 2–8 steps using only basic arithmetic; grading checks the final numeric answer. A 'Socratic' variant adds auto-generated sub-questions before each solution step.

Example

Janet's ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market? (Answer: 18)github.com

Where it stands

Frontier models now score above 95%, and several 2025 releases stopped reporting GSM8K at all as a headline number; a 2025 study found much of the apparent plateau was label noise rather than genuine parity between models.

How the top score changed hands

  1. October 2021GPT-3 175B (fine-tuned, with trained verifier)~55%The paper's own headline result, later cited as the pre-chain-of-thought state of the art by Wei et al.
  2. January 2022PaLM 540B (8-shot chain-of-thought)56.9%Prompted with worked examples rather than fine-tuned or verified, and still ahead of the previous best.
  3. March 2023GPT-492.0%*OpenAI flagged this score with an asterisk: a portion of the GSM8K training set had leaked into GPT-4's pre-training mix.

In the timeline · 6 entries

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