Mathematics · Anthropic

Claude Sonnet 4.5 Max on MATH-500: score, rank and what it means

Claude Sonnet 4.5 Max scores 92.8 on MATH-500, placing it #13 of 600 models in the index. The benchmark average is 72.5 and the leader is GPT-5.2 Max at 96.7.

Score
92.8
0–100 scale
Rank
#13
of 600
Percentile
98th
within the index
Benchmark avg
72.5
all models
Leader
96.7
GPT-5.2 Max
Gap to leader
3.9
points

Score distribution

The chart shows the top 10 models on MATH-500, with Claude Sonnet 4.5 Max 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 Sonnet 4.5 Max sits at #13 of 600. The leader, GPT-5.2 Max, scores 96.7, so the gap to the top is 3.9 points. The median model in this index scores 76.0, which puts Claude Sonnet 4.5 Max above the midpoint.

Anthropic models average 85.3 on this benchmark. Claude Sonnet 4.5 Max is 7.5 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 Sonnet 4.5 Max is 2.0 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 92.8 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 $19.90 per million input tokens, Claude Sonnet 4.5 Max 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 Reasoning Google DeepMind 200000 $19.69 87.5
Claude Opus 4.5 Turbo Anthropic 2000000 $19.57 85.7
Qwen3-Max Reasoning Alibaba Cloud 2000000 $18.12 85.9
GPT-5.2 Vision OpenAI 1000000 $19.03 87.4
Claude Sonnet 4.5 Max Anthropic 1000000 $19.90 87.2
Qwen3-Max Max Alibaba Cloud 400000 $18.53 85.9
GPT-5.2 Turbo OpenAI 1000000 $20.73 87.4

Other benchmarks for Claude Sonnet 4.5 Max

BenchmarkScoreRankPercentileRelative
MMLU-Pro 86.1 50 92th
GPQA Diamond 84.4 10 98th
SWE-bench Verified 80.2 4 99th
HumanEval 92.4 16 97th
AIME 2025 85.4 33 95th
LiveCodeBench 82.8 15 98th
IFEval 92.9 21 97th
TruthfulQA 87.3 30 95th
HellaSwag 93.1 20 97th
MMMU 82.0 32 95th
Arena Elo 1474.9 26 96th

FAQ

What score does Claude Sonnet 4.5 Max get on MATH-500?

Claude Sonnet 4.5 Max scores 92.8 on MATH-500 in this index. The benchmark average is 72.5 and the top score is 96.7.

How does Claude Sonnet 4.5 Max rank on MATH-500?

It ranks #13 of 600 models, in the 98th percentile. The leader is GPT-5.2 Max at 96.7.

Is Claude Sonnet 4.5 Max 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 Sonnet 4.5 Max cost?

Claude Sonnet 4.5 Max costs $19.90 per million input tokens and $95.47 per million output tokens.

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