Geometry

Sansa Bench

Geometry leaderboard for Sansa Bench, with charts, model comparison, and methodology. This dimension covers shapes, spatial relationships, proofs, and geometric problem solving.

Inspiration & Acknowledgments91 models testedUpdated Aug 8, 2026

Top models for Geometry

  1. 1.Claude-Opus-4.8 Reasoning High1.000
  2. 2.Gemini-3.1-Pro-Preview Reasoning High0.890
  3. 3.Mimo-V2-Pro Reasoning Low0.881
  4. 4.Qwen3.5-Flash-02-23 Reasoning High0.876
  5. 5.Mimo-V2-Pro Reasoning High0.875

Methodology: Geometry

What it measures

Tests geometry problems and spatial reasoning. Queries require understanding of geometric shapes, spatial relationships, geometric proofs, and geometric problem-solving.

Scoring & Criteria

Returns score 1.0 if the extracted numeric value matches the expected value within the specified tolerance, otherwise 0.0. Tolerance can be specified in evaluation_criteria.tolerance as either an absolute value (e.g., 0.01 for +/- 0.01) or a relative percentage when evaluation_criteria.relative=True (e.g., 0.01 for 1% tolerance). If no tolerance is specified, defaults to 1e-9 (machine epsilon) for strict float comparison. Handles commas, dollar signs, and other formatting in extraction.

Evaluation Type: Numeric

Grades responses based on numeric equality with optional tolerance. Designed for open-ended math/science questions where the answer is a number.

Example Question

Question:
A right circular cone has a base radius of 3 and a height of 4. A plane passes through the vertex of the cone and cuts the base in a chord of length 2. What is the distance from the center of the base to this chord?
Answer:
2.828