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Grade Curve Calculator

See what a curve does to a test score. Enter the raw score and choose a method — flat points added to everyone, scaling so the top score becomes 100%, or the square-root curve — to get the curved percentage and letter grade.

Quick examples
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Curved score77%
Curved letter grade
C+
Raw score
72%
Gain from the curve
5 points

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      Formula

      Flat curve: curved % = (score + points added) ÷ points possible × 100
      Scale to the top score: curved % = score ÷ highest score × 100
      Square-root curve: curved % = 10 × √(raw %)

      How to use it

      1. Enter the raw score and the points possible.
      2. Choose the curve method.
      3. Enter the points added or the highest score in the class, if the method needs it.
      4. Compare the curved score with the raw one.

      Worked examples

      A 72 out of 100 with 5 points added

      Curved score
      77%
      Curved letter grade
      C+
      Raw score
      72%
      Gain from the curve
      5 points

      A 72 when the highest score in the class was 90

      Curved score
      80%
      Curved letter grade
      B−
      Gain from the curve
      8 points

      32 out of 50 (64%) on the square-root curve

      Curved score
      80%
      Raw score
      64%
      Gain from the curve
      16 points

      How the three methods differ

      A flat curve gives everyone the same boost. Scaling to the top score helps in proportion to your score, so stronger scores gain more points. The square-root curve does the opposite: it lifts low scores the most — a 49 becomes 70, a 64 becomes 80, an 81 becomes 90 — while 100 stays 100.

      What this does not do

      “Grading on a curve” can also mean ranking students against a bell curve so that fixed shares of the class get each letter. That depends on the whole class’s scores, not just yours, and is not covered here.

      Questions people ask

      What is a 64 on a square-root curve?

      10 × √64 = 80%.

      If the highest score was 90, what does my 72 become?

      72 ÷ 90 × 100 = 80%.

      Can a curve lower my grade?

      None of these three methods can; each leaves your score the same or higher. A flat curve can push scores above 100%, which instructors usually cap.

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