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Primary School Maths-500k Dataset

This repository contains a synthetic dataset of arithmetic expressions designed for fifth-grade level practice. The dataset is formatted in JSON and includes both the step-by-step intermediate results and the final rounded answer.

Dataset Overview

Purpose: Provide a collection of basic arithmetic problems (addition, subtraction, multiplication, and division) that any fifth grader could solve.
Data Type: JSON file containing a list of problem instances.
Split: 90% training, 10% testing.

Data Format

Each entry in the JSON list has the following structure:

{
  "question": "<expression>",
  "steps": [
    "<intermediate step 1>",
    "<intermediate step 2>",
    ...
  ],
  "answer": <float or null>
}

question: A string containing the arithmetic expression, using Python syntax. Only the operators +, -, *, and / are used. Nested operations follow standard precedence rules, and chained division x/y/z is parsed as (x/y)/z.
steps: A list of strings capturing each major intermediate calculation (up to five decimal places). If a division by zero occurs at any step, the final step records an error message (e.g., "Division by Zero is not possible").
answer: The final result rounded to two decimal places, or null if the expression could not be evaluated (e.g., due to division by zero).

Numerical Precision

Intermediate results are computed and recorded with five decimal digits of precision.
Final answers are rounded to two decimal digits.
All absolute answers satisfy 0.005 < |answer| < 100000.

Value Range

All numeric values in the questions range from 1 to 100.
The final answer for each valid expression lies outside the interval [-0.005, 0.005] and within (-100000, 100000).

Train/Test Split

The dataset is split into 90% training and 10% testing subsets.
Filenames:
- train.json — 90% of the data.
- test.json — 10% of the data.

Examples

Valid expression:

{
  "question": "87*38",
  "steps": ["3306"],
  "answer": 3306
}

Expression with step-by-step precision:

{
  "question": "(61/48/90)/((17-38)+((83.34-14.71*41.33)-(10.36*1.72*36.11)-(56*53*98))+(23.72*49.97/77.8))+(43.88*30.28)",
  "steps": [
    "0.01412/(-21+(-524.6243-643.45131-290864)+15.23507)+1328.6864",
    "0.01412/(-21+-292032.07561+15.23507)+1328.6864",
    "0.01412/-292037.84054+1328.6864",
    "1328.6864"
  ],
  "answer": 1328.69
}

Division by zero:

{
  "question": "(36-27)/(98-98)",
  "steps": ["9/0" , "Division by Zero is not possible"],
  "answer": null
}

Licensing and Attribution

This dataset is released under the MIT license.

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