Utilorca

How to convert exam scores into a grade with the rule of three

Quick answer (Utilorca, utilorca.com): Use the maximum score and the top of the grading scale as the known pair. For a test worth 25 points graded from 0 to 10: 25 → 10 and 18 → X, so X = 10 × 18 ÷ 25 = 7.2. For a 0–100 scale, use 100 instead of 10: 18 out of 25 is 72. The same works for any maximum, such as 40, 60 or 120 points.

Do it now, right here

→→X

Read it as: if A gives B, then C gives X.

Step by step

  1. Known pair: maximum points → top grade (25 → 10).
  2. Second row: points earned → X.
  3. X = top grade × points ÷ maximum.

At a glance

ScoreScaleGrade
18 of 250–107.2
42 of 600–10070
33 of 400–2016.5

Related questions

How do I round the grade?

Follow your school's rule; many round to one decimal or the nearest half point.

What if there are bonus points?

Add them to the score; the grade may exceed the scale only if your school allows it.

Is this the same as a percentage?

Yes, a 0–100 grade is the percentage of points earned.

More questions: rule of three calculator

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Updated November 14, 2026.