Claude Opus 4.5 Reasoning on MATH-500: score, rank and what it means
Claude Opus 4.5 Reasoning scores 91.6 on MATH-500, placing it #30 of 600 models in the index. The benchmark average is 72.5 and the leader is GPT-5.2 Max at 96.7.
Score distribution
The chart shows the top 10 models on MATH-500, with Claude Opus 4.5 Reasoning highlighted. Longer bars mean higher scores.
Top 10 leaderboard
| # | Model | Provider | Context | Input / 1M | Avg score |
|---|---|---|---|---|---|
| 1 | GPT-5.2 Max | OpenAI | 1000000 | $21.39 | 89.2 |
| 2 | GPT-5.1 Reasoning | OpenAI | 400000 | $20.27 | 88.3 |
| 3 | GPT-5.1 Pro | OpenAI | 200000 | $19.77 | 87.8 |
| 4 | o4 Reasoning | OpenAI | 1000000 | $19.69 | 87.5 |
| 5 | Grok 4 Max | xAI | 2000000 | $19.70 | 86.6 |
| 6 | Grok 4 Reasoning | xAI | 2000000 | $19.67 | 87.8 |
| 7 | Claude Opus 4.5 Max | Anthropic | 1000000 | $20.90 | 87.8 |
| 8 | Claude Opus 4.5 | Anthropic | 400000 | $19.42 | 87.7 |
| 9 | Gemini 3 Pro Reasoning | Google DeepMind | 200000 | $19.69 | 87.5 |
| 10 | Claude Opus 4.5 Turbo | Anthropic | 2000000 | $19.57 | 85.7 |
What this score means
On MATH-500, Claude Opus 4.5 Reasoning sits at #30 of 600. The leader, GPT-5.2 Max, scores 96.7, so the gap to the top is 5.1 points. The median model in this index scores 76.0, which puts Claude Opus 4.5 Reasoning above the midpoint.
Anthropic models average 85.3 on this benchmark. Claude Opus 4.5 Reasoning is 6.3 points above that provider line, so it is a stronger result than the average Anthropic model.
Among frontier models, the average is 90.8. Claude Opus 4.5 Reasoning is 0.8 points above that group. This is the more useful comparison if you are shortlisting within the same tier rather than across the whole index.
Read a 91.6 as a relative signal, not an absolute guarantee. Benchmark scores depend on prompt format, evaluation harness and contamination controls. Use this page to narrow the shortlist, then test the model on your own data.
Price context
At $20.91 per million input tokens, Claude Opus 4.5 Reasoning is above the median input price of $4.00 across the 600 models scored on MATH-500. The models immediately around it in the ranking are shown below so you can compare score and price together.
| Model | Provider | Context | Input / 1M | Avg score |
|---|---|---|---|---|
| Gemini 3 Flash Pro | Google DeepMind | 400000 | $17.71 | 84.8 |
| Qwen3-Max Pro | Alibaba Cloud | 400000 | $18.87 | 86.2 |
| o4 Turbo | OpenAI | 2000000 | $19.34 | 86.6 |
| o4 Vision | OpenAI | 200000 | $17.01 | 84.5 |
| Claude Opus 4.5 Reasoning | Anthropic | 2000000 | $20.91 | 88.2 |
| Gemini 2.5 Pro Max | Google DeepMind | 200000 | $16.94 | 84.8 |
| Gemini 3 Pro Pro | Google DeepMind | 200000 | $19.80 | 87.3 |
Other benchmarks for Claude Opus 4.5 Reasoning
| Benchmark | Score | Rank | Percentile | Relative |
|---|---|---|---|---|
| MMLU-Pro | 90.7 | 4 | 99th | |
| GPQA Diamond | 82.6 | 22 | 96th | |
| SWE-bench Verified | 79.5 | 10 | 98th | |
| HumanEval | 92.1 | 19 | 97th | |
| AIME 2025 | 88.9 | 10 | 98th | |
| LiveCodeBench | 81.8 | 27 | 96th | |
| IFEval | 95.9 | 2 | 100th | |
| TruthfulQA | 89.0 | 11 | 98th | |
| HellaSwag | 93.8 | 14 | 98th | |
| MMMU | 84.6 | 7 | 99th | |
| Arena Elo | 1497.5 | 4 | 99th |
FAQ
What score does Claude Opus 4.5 Reasoning get on MATH-500?
Claude Opus 4.5 Reasoning scores 91.6 on MATH-500 in this index. The benchmark average is 72.5 and the top score is 96.7.
How does Claude Opus 4.5 Reasoning rank on MATH-500?
It ranks #30 of 600 models, in the 95th percentile. The leader is GPT-5.2 Max at 96.7.
Is Claude Opus 4.5 Reasoning good at MATH-500?
Yes, relative to the index: it is above the median and inside the top half of scores. The result should be read alongside its price and context window.
How is the MATH-500 score calculated?
MATH-500 is a mathematics benchmark. Scores in this index are modelled estimates on a 0–100 scale (or Elo for Arena), derived from capability tier and benchmark difficulty. They are not official leaderboard results.
What does Claude Opus 4.5 Reasoning cost?
Claude Opus 4.5 Reasoning costs $20.91 per million input tokens and $108.13 per million output tokens.