# Mathematical Reasoning on AIME 24/25 (Pass@32, Avg)

Source: [Mathematical Reasoning on AIME 24/25 (Pass@32, Avg)](<https://www.sota2.com/research/sota/mathematical-reasoning-on-aime-24-25-pass-at-32-avg>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2026-05-11T10:31:22.226Z

Evaluation of model performance on the combined AIME 2024 and 2025 datasets for mathematical reasoning, reporting scores based on sampling methods (Pass@32, Avg@32).

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

| Scope | Recorded value |
| --- | --- |
| Task | Mathematical reasoning |
| Dataset (including any stated split) | AIME 24/25 |
| Metric | Average Score (Pass@32) |
| Unit | PERCENT |
| Direction | Higher is better |
| Results loaded | 18 of 18 |
| Coverage | All results currently returned for this benchmark |

Evaluation settings may differ between results. The original papers and recorded configurations are needed to establish comparability. A shared metric name alone does not establish an identical protocol.

## Metrics

- [Average Score (Pass@32)](<https://www.sota2.com/research/sota/mathematical-reasoning-on-aime-24-25-pass-at-32-avg.md?metric=Average%20Score%20(Pass%4032)>): Higher is better; unit: PERCENT.

- [Pass@32](<https://www.sota2.com/research/sota/mathematical-reasoning-on-aime-24-25-pass-at-32-avg.md?metric=Pass%4032>): Higher is better; unit: PERCENT.

- [Overall Average Score](<https://www.sota2.com/research/sota/mathematical-reasoning-on-aime-24-25-pass-at-32-avg.md?metric=Overall%20Average%20Score>): Higher is better; unit: PERCENT.

## Recorded results

| Method | Average Score (Pass@32) | Result date | Report paper |
| --- | --- | --- | --- |
| OPDfull-V | 14.3 | Not recorded | 6a0162c0dbc836b87d8233b0 |
| vOPDfull-V | 13.5 | Not recorded | 6a0162c0dbc836b87d8233b0 |
| vOPDtop-k | 13.2 | Not recorded | 6a0162c0dbc836b87d8233b0 |
| OPD | 10.4 | Not recorded | 6a0162c0dbc836b87d8233b0 |
| OPDtop-k | 10.1 | Not recorded | 6a0162c0dbc836b87d8233b0 |
| OPDfull-V | 8.6 | Not recorded | 6a0162c0dbc836b87d8233b0 |
| vOPDtop-k | 8.4 | Not recorded | 6a0162c0dbc836b87d8233b0 |
| vOPDfull-V | 7.9 | Not recorded | 6a0162c0dbc836b87d8233b0 |
| Student | 7.8 | Not recorded | 6a0162c0dbc836b87d8233b0 |
| OPD | 7.4 | Not recorded | 6a0162c0dbc836b87d8233b0 |
| vOPDfull-V | 6.2 | Not recorded | 6a0162c0dbc836b87d8233b0 |
| OPDfull-V | 5.8 | Not recorded | 6a0162c0dbc836b87d8233b0 |
| vOPDtop-k | 5.6 | Not recorded | 6a0162c0dbc836b87d8233b0 |
| OPDtop-k | 5.5 | Not recorded | 6a0162c0dbc836b87d8233b0 |
| Student | 5.4 | Not recorded | 6a0162c0dbc836b87d8233b0 |
| OPD | 4.8 | Not recorded | 6a0162c0dbc836b87d8233b0 |
| OPDtop-k | 4 | Not recorded | 6a0162c0dbc836b87d8233b0 |
| Student | 3 | Not recorded | 6a0162c0dbc836b87d8233b0 |

### OPDfull-V

Average Score (Pass@32): 14.3. Result ID: 6a01aff747f34ce924e43f6d.

[Reporting paper](<https://www.sota2.com/research/paper/6a0162c0dbc836b87d8233b0.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa71dd1e209131cea536d1.md>)

Recorded evaluation configuration: {"Model Setup":"Qwen3-4B → Qwen3-4B-Base"}. This record does not assert independent reproduction.

### vOPDfull-V

Average Score (Pass@32): 13.5. Result ID: 6a01aff747f34ce924e43f6f.

[Reporting paper](<https://www.sota2.com/research/paper/6a0162c0dbc836b87d8233b0.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a0162c0dbc836b87d8233b0.md>)

Recorded evaluation configuration: {"Model Setup":"Qwen3-4B → Qwen3-4B-Base"}. This record does not assert independent reproduction.

### vOPDtop-k

Average Score (Pass@32): 13.2. Result ID: 6a01aff747f34ce924e43f6e.

[Reporting paper](<https://www.sota2.com/research/paper/6a0162c0dbc836b87d8233b0.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a0162c0dbc836b87d8233b0.md>)

Recorded evaluation configuration: {"Model Setup":"Qwen3-4B → Qwen3-4B-Base"}. This record does not assert independent reproduction.

### OPD

Average Score (Pass@32): 10.4. Result ID: 6a01aff747f34ce924e43f6b.

[Reporting paper](<https://www.sota2.com/research/paper/6a0162c0dbc836b87d8233b0.md>)

Recorded evaluation configuration: {"Model Setup":"Qwen3-4B → Qwen3-4B-Base"}. This record does not assert independent reproduction.

### OPDtop-k

Average Score (Pass@32): 10.1. Result ID: 6a01aff747f34ce924e43f6c.

[Reporting paper](<https://www.sota2.com/research/paper/6a0162c0dbc836b87d8233b0.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69df1bcb7d0172140ec7bc19.md>)

[Implementation](<https://github.com/thunlp/OPD>)

Recorded evaluation configuration: {"Model Setup":"Qwen3-4B → Qwen3-4B-Base"}. This record does not assert independent reproduction.

### OPDfull-V

Average Score (Pass@32): 8.6. Result ID: 6a01aff747f34ce924e43f73.

[Reporting paper](<https://www.sota2.com/research/paper/6a0162c0dbc836b87d8233b0.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa71dd1e209131cea536d1.md>)

Recorded evaluation configuration: {"Model Setup":"Olmo-3-7B-Think → Olmo-3-7B-Base"}. This record does not assert independent reproduction.

### vOPDtop-k

Average Score (Pass@32): 8.4. Result ID: 6a01aff747f34ce924e43f74.

[Reporting paper](<https://www.sota2.com/research/paper/6a0162c0dbc836b87d8233b0.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a0162c0dbc836b87d8233b0.md>)

Recorded evaluation configuration: {"Model Setup":"Olmo-3-7B-Think → Olmo-3-7B-Base"}. This record does not assert independent reproduction.

### vOPDfull-V

Average Score (Pass@32): 7.9. Result ID: 6a01aff747f34ce924e43f75.

[Reporting paper](<https://www.sota2.com/research/paper/6a0162c0dbc836b87d8233b0.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a0162c0dbc836b87d8233b0.md>)

Recorded evaluation configuration: {"Model Setup":"Olmo-3-7B-Think → Olmo-3-7B-Base"}. This record does not assert independent reproduction.

### Student

Average Score (Pass@32): 7.8. Result ID: 6a01aff747f34ce924e43f6a.

[Reporting paper](<https://www.sota2.com/research/paper/6a0162c0dbc836b87d8233b0.md>)

Recorded evaluation configuration: {"Model Setup":"Qwen3-4B → Qwen3-4B-Base"}. This record does not assert independent reproduction.

### OPD

Average Score (Pass@32): 7.4. Result ID: 6a01aff747f34ce924e43f71.

[Reporting paper](<https://www.sota2.com/research/paper/6a0162c0dbc836b87d8233b0.md>)

Recorded evaluation configuration: {"Model Setup":"Olmo-3-7B-Think → Olmo-3-7B-Base"}. This record does not assert independent reproduction.

### vOPDfull-V

Average Score (Pass@32): 6.2. Result ID: 6a01aff747f34ce924e43f69.

[Reporting paper](<https://www.sota2.com/research/paper/6a0162c0dbc836b87d8233b0.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a0162c0dbc836b87d8233b0.md>)

Recorded evaluation configuration: {"Model Setup":"Qwen3-1.7B → Qwen3-1.7B-Base"}. This record does not assert independent reproduction.

### OPDfull-V

Average Score (Pass@32): 5.8. Result ID: 6a01aff747f34ce924e43f67.

[Reporting paper](<https://www.sota2.com/research/paper/6a0162c0dbc836b87d8233b0.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa71dd1e209131cea536d1.md>)

Recorded evaluation configuration: {"Model Setup":"Qwen3-1.7B → Qwen3-1.7B-Base"}. This record does not assert independent reproduction.

### vOPDtop-k

Average Score (Pass@32): 5.6. Result ID: 6a01aff747f34ce924e43f68.

[Reporting paper](<https://www.sota2.com/research/paper/6a0162c0dbc836b87d8233b0.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a0162c0dbc836b87d8233b0.md>)

Recorded evaluation configuration: {"Model Setup":"Qwen3-1.7B → Qwen3-1.7B-Base"}. This record does not assert independent reproduction.

### OPDtop-k

Average Score (Pass@32): 5.5. Result ID: 6a01aff747f34ce924e43f72.

[Reporting paper](<https://www.sota2.com/research/paper/6a0162c0dbc836b87d8233b0.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69df1bcb7d0172140ec7bc19.md>)

[Implementation](<https://github.com/thunlp/OPD>)

Recorded evaluation configuration: {"Model Setup":"Olmo-3-7B-Think → Olmo-3-7B-Base"}. This record does not assert independent reproduction.

### Student

Average Score (Pass@32): 5.4. Result ID: 6a01aff747f34ce924e43f70.

[Reporting paper](<https://www.sota2.com/research/paper/6a0162c0dbc836b87d8233b0.md>)

Recorded evaluation configuration: {"Model Setup":"Olmo-3-7B-Think → Olmo-3-7B-Base"}. This record does not assert independent reproduction.

### OPD

Average Score (Pass@32): 4.8. Result ID: 6a01aff747f34ce924e43f65.

[Reporting paper](<https://www.sota2.com/research/paper/6a0162c0dbc836b87d8233b0.md>)

Recorded evaluation configuration: {"Model Setup":"Qwen3-1.7B → Qwen3-1.7B-Base"}. This record does not assert independent reproduction.

### OPDtop-k

Average Score (Pass@32): 4. Result ID: 6a01aff747f34ce924e43f66.

[Reporting paper](<https://www.sota2.com/research/paper/6a0162c0dbc836b87d8233b0.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69df1bcb7d0172140ec7bc19.md>)

[Implementation](<https://github.com/thunlp/OPD>)

Recorded evaluation configuration: {"Model Setup":"Qwen3-1.7B → Qwen3-1.7B-Base"}. This record does not assert independent reproduction.

### Student

Average Score (Pass@32): 3. Result ID: 6a01aff747f34ce924e43f64.

[Reporting paper](<https://www.sota2.com/research/paper/6a0162c0dbc836b87d8233b0.md>)

Recorded evaluation configuration: {"Model Setup":"Qwen3-1.7B → Qwen3-1.7B-Base"}. This record does not assert independent reproduction.

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