MATH-500

Overview

MATH-500 is a curated subset of 500 problems from the MATH benchmark, designed to evaluate the mathematical reasoning capabilities of language models. It covers five difficulty levels across various mathematical topics including algebra, geometry, number theory, and calculus.

Task Description

Task Type: Mathematical Problem Solving
Input: Mathematical problem statement
Output: Step-by-step solution with final numerical answer
Difficulty Levels: Level 1 (easiest) to Level 5 (hardest)

Key Features

500 carefully selected problems from the full MATH dataset
Five difficulty levels for fine-grained evaluation
Problems cover algebra, geometry, number theory, probability, and more
Each problem includes a reference solution
Designed for efficient yet comprehensive math evaluation

Evaluation Notes

Default configuration uses 0-shot evaluation
Answers should be formatted within \boxed{} for proper extraction
Numeric equivalence checking for answer comparison
Results can be broken down by difficulty level
Commonly used for math reasoning benchmarking due to manageable size

Properties

Property	Value
Benchmark Name	`math_500`
Dataset ID	AI-ModelScope/MATH-500
Paper	N/A
Tags	`Math`, `Reasoning`
Metrics	`acc`
Default Shots	0-shot
Evaluation Split	`test`

Data Statistics

Metric	Value
Total Samples	500
Prompt Length (Mean)	266.89 chars
Prompt Length (Min/Max)	91 / 1804 chars

Per-Subset Statistics:

Subset	Samples	Prompt Mean	Prompt Min	Prompt Max
`Level 1`	43	193.19	100	571
`Level 2`	90	218.82	91	802
`Level 3`	105	236	93	688
`Level 4`	128	277.1	93	1771
`Level 5`	134	337.28	118	1804

Sample Example

Subset: Level 1

{
  "input": [
    {
      "id": "b5d90091",
      "content": "Suppose $\\sin D = 0.7$ in the diagram below. What is $DE$? [asy]\npair D,E,F;\nF = (0,0);\nD = (sqrt(51),7);\nE = (0,7);\ndraw(D--E--F--D);\ndraw(rightanglemark(D,E,F,15));\nlabel(\"$D$\",D,NE);\nlabel(\"$E$\",E,NW);\nlabel(\"$F$\",F,SW);\nlabel(\"$7$\",(E+F)/2,W);\n[/asy]\nPlease reason step by step, and put your final answer within \\boxed{}."
    }
  ],
  "target": "\\sqrt{51}",
  "id": 0,
  "group_id": 0,
  "subset_key": "Level 1",
  "metadata": {
    "question_id": "test/precalculus/1303.json",
    "solution": "The triangle is a right triangle, so $\\sin D = \\frac{EF}{DF}$. Then we have that $\\sin D = 0.7 = \\frac{7}{DF}$, so $DF = 10$.\n\nUsing the Pythagorean Theorem, we find that the length of $DE$ is $\\sqrt{DF^2 - EF^2},$ or $\\sqrt{100 - 49} = \\boxed{\\sqrt{51}}$."
  }
}

Prompt Template

Prompt Template:

{question}
Please reason step by step, and put your final answer within \boxed{{}}.

Usage

Using CLI

evalscope eval \
    --model YOUR_MODEL \
    --api-url OPENAI_API_COMPAT_URL \
    --api-key EMPTY_TOKEN \
    --datasets math_500 \
    --limit 10  # Remove this line for formal evaluation

Using Python

from evalscope import run_task
from evalscope.config import TaskConfig

task_cfg = TaskConfig(
    model='YOUR_MODEL',
    api_url='OPENAI_API_COMPAT_URL',
    api_key='EMPTY_TOKEN',
    datasets=['math_500'],
    dataset_args={
        'math_500': {
            # subset_list: ['Level 1', 'Level 2', 'Level 3']  # optional, evaluate specific subsets
        }
    },
    limit=10,  # Remove this line for formal evaluation
)

run_task(task_cfg=task_cfg)

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