Free grading tools
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Grading formulas and examples

Check the formulas and rounding rules behind the Grades calculators with worked examples.

Quiz and test

Grade percentage = earned points ÷ possible points × 100. For equally valued questions, earned points can be the number correct.

Course average

A weighted average divides the sum of score × weight by the sum of included weights. A points-based average uses total earned points ÷ total possible points × 100. For 9/10 and 9/30, the points average is 45%, while the equal-weight average is 60%.

Final exam

Projected course grade = current grade × (1 − exam weight) + exam score × exam weight. Use the exam weight as a decimal. At 100% exam weight, the exam score is the course grade. At 0%, the exam cannot move the result.

Precision and exact cutoffs

Displayed test percentages may be rounded for readability. Letter grades use the score before display rounding. Required final scores round upward to the next hundredth so the shown target reaches the stated grade.