Studies

Multiple-choice test score (negative marking)

Your score on a multiple-choice test with penalties for wrong answers, and whether guessing pays off.

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How it works

Points = right − wrong × penalty. Score = points / number of questions × scale. Guessing earns on average 1/choices − (1 − 1/choices) × penalty per question.

Results are for guidance only and do not replace professional advice.

Worked example

With the default values:

  • Right answers28
  • Wrong answers7
  • Left blank5
  • Penalty per wrong answer (points)0.25
  • Choices per question4
  • Score out of20

you get:

  • Score13.13 / 20
  • Points26.25 / 40
  • Without penalties you'd have14 / 20
  • Points lost to penalties1.75

Frequently asked questions

How does the “Multiple-choice test score” tool work?

Points = right − wrong × penalty. Score = points / number of questions × scale. Guessing earns on average 1/choices − (1 − 1/choices) × penalty per question.

What do I need to enter?

Just fill in: right answers, wrong answers, left blank, penalty per wrong answer, choices per question, score out of. The result updates as you type.

Can you give an example?

Right answers: 28; Wrong answers: 7; Left blank: 5; Penalty per wrong answer (points): 0.25; Choices per question: 4 → Score: 13.13 / 20; Points: 26.25 / 40.

Is this calculator free, and is my data private?

Yes. HOD Calc is completely free with no sign-up. The calculation runs in your browser: nothing you type is sent or stored.