Raw Score Calculator Formula

Understand the math behind the raw score calculator. Each variable explained with a worked example.

Use the Raw Score Calculator

Formulas Used

Raw Score

raw_score = raw

Maximum Possible Score

max_possible = total_questions

Raw Score Percentage

raw_pct = (raw / total_questions) * 100

Variables

VariableDescriptionDefault
correctQuestions Correct40
incorrectQuestions Incorrect10
penaltyPenalty per Wrong Answer0.25
total_questionsTotal Questions60
rawDerived value= correct - incorrect * penaltycalculated

How It Works

How to Calculate Raw Score

A raw score accounts for correct answers minus any penalty for incorrect answers.

Formula

Raw Score = Correct Answers - (Incorrect Answers x Penalty)

With no guessing penalty, the raw score equals the number correct. Some standardized tests deduct a fraction of a point per wrong answer.

Worked Example

A student answers 40 correctly and 10 incorrectly on a 60-question test with a 0.25 guessing penalty.

correct = 40incorrect = 10penalty = 0.25total_questions = 60
  1. 01Penalty deduction = 10 x 0.25 = 2.5
  2. 02Raw score = 40 - 2.5 = 37.5
  3. 03Raw score percentage = (37.5 / 60) x 100 = 62.5%

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