Mathematics

Sansa Bench

Mathematics leaderboard for Sansa Bench, with charts, model comparison, and methodology. This dimension spans foundational through advanced math, including algebra, calculus, number theory, and abstract algebra.

Inspiration & Acknowledgments91 models testedUpdated Aug 8, 2026

Top models for Mathematics

  1. 1.Gemini-3-Pro-Preview Reasoning High0.988
  2. 2.Deepseek-V4-Pro Reasoning High0.905
  3. 3.Mimo-V2-Pro Reasoning High0.904
  4. 4.Claude-Sonnet-4.6 Reasoning High0.898
  5. 5.Kimi-K2.5 Reasoning Low0.896

Methodology: Mathematics

What it measures

Tests mathematics problems and knowledge across multiple levels and domains. Covers foundational topics (algebraic manipulation, equations, inequalities, fundamental mathematical concepts) to advanced university-level mathematics including abstract algebra, group theory, ring theory, and field theory. Queries span computational problem-solving, mathematical reasoning, theoretical understanding of mathematical structures, and problem-solving across various mathematical domains including algebra, calculus, number theory, and other core mathematical areas.

Scoring & Criteria

For numeric questions: returns score 1.0 if the extracted numeric value matches the expected value within the specified tolerance (evaluation_criteria.tolerance), otherwise 0.0. Tolerance can be absolute (e.g., 0.01 for +/- 0.01) or relative (e.g., 0.01 for 1% when evaluation_criteria.relative=True). Defaults to 1e-9 if no tolerance is specified. Handles commas, dollar signs, and other formatting in extraction. For multiple choice questions: returns score 1.0 if the extracted answer letter exactly matches the expected answer (after normalization), otherwise 0.0. The system prompt requests answers in `<answer>X</answer>` format where X is a letter from the provided choices. The grader normalizes for models that include the full choice text instead of just the letter, or that violate the answer tag format.

Evaluation Type: Numeric / Multiple Choice

Uses both numeric matching for computational problems and exact match for multiple choice theory questions. Computational problems require extracting and matching numeric values, while theory questions use multiple choice format with exact string matching.

Example Question

Question:
Calculate the definite integral $\int_{0}^{\pi} \sin^2(x) dx$.
Answer:
["1.5708", "\u03c0/2"]