Square Root Curve Calculator

Calculate the square root curve (also known as a square root grading curve) for test scores. Enter the original score and the desired maximum to get the curved score.

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How to use this tool?

How to Use the Square Root Curve Calculator

This calculator applies a square root curve to adjust a score. It uses the formula:

Curved Score = √(Original / Max) × Max

  1. Enter Original Score – Input the student's raw score (must be 0 or higher).
  2. Set Desired Maximum – The maximum possible score after curving (default is 100). Must be a positive number.
  3. Click "Calculate Curve" – The curved score appears instantly, rounded to two decimals.
  4. Review the breakdown – Below the result, you'll see the step-by-step calculation.

Note: Both inputs accept decimals. The original score can be 0, but the maximum must be greater than 0.

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Frequently Asked Questions

A square root curve is a grading method that applies the square root function to transform scores, typically used to raise low scores while preserving rank order.

The curved score is calculated as: curved = sqrt(original / max) * max, where max is the desired maximum score (e.g., 100).

Yes, you can set any positive maximum value. The original score must be non-negative and less than or equal to the maximum.

Reviewed by Experts

Eurico José Kiala

Eurico José Kiala

Mathematician

Teacher

LinkedIn
João Lino

João Lino

Mathematician

LinkedIn
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