Mathematics · Anthropic

Claude Opus 4.5 Pro on MATH-500: score, rank and what it means

Claude Opus 4.5 Pro scores 91.2 on MATH-500, placing it #36 of 600 models in the index. The benchmark average is 72.5 and the leader is GPT-5.2 Max at 96.7.

Score
91.2
0–100 scale
Rank
#36
of 600
Percentile
94th
within the index
Benchmark avg
72.5
all models
Leader
96.7
GPT-5.2 Max
Gap to leader
5.5
points

Score distribution

The chart shows the top 10 models on MATH-500, with Claude Opus 4.5 Pro highlighted. Longer bars mean higher scores.

GPT-5.2 Max 96.7
GPT-5.1 Reasoning 95.9
GPT-5.1 Pro 95.1
o4 Reasoning 94.8
Grok 4 Max 94.6
Grok 4 Reasoning 94.4
Claude Opus 4.5 Max 94.2
Claude Opus 4.5 93.7
Gemini 3 Pro Reasoning 93.3
Claude Opus 4.5 Turbo 93.2

Top 10 leaderboard

#ModelProviderContextInput / 1MAvg 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 Pro sits at #36 of 600. The leader, GPT-5.2 Max, scores 96.7, so the gap to the top is 5.5 points. The median model in this index scores 76.0, which puts Claude Opus 4.5 Pro above the midpoint.

Anthropic models average 85.3 on this benchmark. Claude Opus 4.5 Pro is 5.9 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 Pro is 0.4 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 91.2 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 $20.98 per million input tokens, Claude Opus 4.5 Pro 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.

ModelProviderContextInput / 1MAvg score
Gemini 3 Pro Pro Google DeepMind 200000 $19.80 87.3
GPT-5.1 Turbo OpenAI 2000000 $19.19 86.1
GPT-5.2 Reasoning OpenAI 1000000 $20.98 87.5
GPT-5.1 Max OpenAI 2000000 $20.50 87.9
Claude Opus 4.5 Pro Anthropic 200000 $20.98 89.1
Grok 4 xAI 200000 $17.90 86.5
Claude Sonnet 4.5 Vision Anthropic 128000 $16.99 83.8

Other benchmarks for Claude Opus 4.5 Pro

BenchmarkScoreRankPercentileRelative
MMLU-Pro 91.2 3 100th
GPQA Diamond 86.0 3 100th
SWE-bench Verified 81.1 2 100th
HumanEval 93.4 7 99th
AIME 2025 91.4 1 100th
LiveCodeBench 84.1 9 99th
IFEval 96.1 1 100th
TruthfulQA 86.7 41 93th
HellaSwag 95.2 4 99th
MMMU 83.3 16 97th
Arena Elo 1483.9 19 97th

FAQ

What score does Claude Opus 4.5 Pro get on MATH-500?

Claude Opus 4.5 Pro scores 91.2 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 Pro rank on MATH-500?

It ranks #36 of 600 models, in the 94th percentile. The leader is GPT-5.2 Max at 96.7.

Is Claude Opus 4.5 Pro 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 Pro cost?

Claude Opus 4.5 Pro costs $20.98 per million input tokens and $85.59 per million output tokens.

Related