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Quick answer
A square root curve uses curved percentage = 100 × √(score ÷ maximum points). A score of 64 out of 100 becomes 80%, and 32 out of 50 also becomes 80%. Keep the exponent at 0.5 for a square root curve and follow your course grading policy.
How to use
Enter the known values, check the selected units and assumptions, then calculate. Compare the result with the worked example. Copy, print or export the table when you need a record. Enter raw points and the maximum available points. The tool normalizes each score before applying 100 × (score / maximum)^exponent. Leave the exponent at 0.5 for the square root curve. The target field solves the same equation in reverse.
Formula and method
C = 100 × (x / M)^p; p = 0.5; x = M × (C / 100)^(1/p)
Worked example
64 / 100 → 80%; 81 / 100 → 90%; 32 / 50 → 80%
Assumptions and limits
Inputs must be between zero and the points possible. Power curves preserve ordering but change score differences. A mathematical curve does not establish fairness; use the grading policy. Anonymous score lists are preferable to student names.
Sources and methodology
Method reviewed:
Frequently asked questions
How is the result calculated?
Enter raw points and the maximum available points. The tool normalizes each score before applying 100 × (score / maximum)^exponent. Leave the exponent at 0.5 for the square root curve. The target field solves the same equation in reverse.
What should I check before using the result?
Inputs must be between zero and the points possible. Power curves preserve ordering but change score differences. A mathematical curve does not establish fairness; use the grading policy. Anonymous score lists are preferable to student names.
Are my inputs sent to a server?
Calculations run in your browser. This plugin does not send your entered values to a server or save them. Other site analytics are governed by the site privacy policy.