Mathematics · Anthropic

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

Claude Sonnet 4.5 Nano scores 73.1 on MATH-500, placing it #355 of 600 models in the index. The benchmark average is 72.5 and the leader is GPT-5.2 Max at 96.7.

Score
73.1
0–100 scale
Rank
#355
of 600
Percentile
41th
within the index
Benchmark avg
72.5
all models
Leader
96.7
GPT-5.2 Max
Gap to leader
23.6
points

Score distribution

The chart shows the top 10 models on MATH-500, with Claude Sonnet 4.5 Nano 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 Nano sits at #355 of 600. The leader, GPT-5.2 Max, scores 96.7, so the gap to the top is 23.6 points. The median model in this index scores 76.0, which puts Claude Sonnet 4.5 Nano below the midpoint.

Anthropic models average 85.3 on this benchmark. Claude Sonnet 4.5 Nano is 12.2 points below that provider line, so it is a weaker result than the average Anthropic model.

Among mid-range models, the average is 70.0. Claude Sonnet 4.5 Nano is 3.1 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 73.1 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 $8.93 per million input tokens, Claude Sonnet 4.5 Nano 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
Claude Haiku 4.5 Mini Anthropic 16384 $8.76 71.6
Reka Core Mini Reka AI 8192 $7.48 70.1
Seed-OSS Base ByteDance 16384 $3.14 72.2
DBRX Chat Databricks 65536 $3.07 71.7
Claude Sonnet 4.5 Nano Anthropic 8192 $8.93 72.0
Fusion Reasoning OpenRouter 65536 $8.59 72.2
Mistral Small 3 Base Mistral AI 16384 $3.19 72.7

Other benchmarks for Claude Sonnet 4.5 Nano

BenchmarkScoreRankPercentileRelative
MMLU-Pro 77.3 268 55th
GPQA Diamond 68.9 298 50th
SWE-bench Verified 61.2 295 51th
HumanEval 74.8 345 43th
AIME 2025 64.2 353 41th
LiveCodeBench 61.2 359 40th
IFEval 82.2 269 55th
TruthfulQA 75.6 317 47th
HellaSwag 83.0 319 47th
MMMU 70.1 297 51th
Arena Elo 1364.3 334 44th

FAQ

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

Claude Sonnet 4.5 Nano scores 73.1 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 Nano rank on MATH-500?

It ranks #355 of 600 models, in the 41st percentile. The leader is GPT-5.2 Max at 96.7.

Is Claude Sonnet 4.5 Nano good at MATH-500?

It is below the median for this benchmark, so test it carefully before relying on it for this capability. 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 Nano cost?

Claude Sonnet 4.5 Nano costs $8.93 per million input tokens and $36.88 per million output tokens.

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