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Test percentage calculator with negative marking

Enter the total questions, correct and wrong answers for each subject and the percentage is calculated instantly with the Konkur formula, (3 × correct − wrong) ÷ (3 × total questions) × 100. For several subjects, also enter each subject's weight to see the weighted average of the percentages.

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Negative marking
  1. 53.33%

    Blank: 6Wrong answers cost 6.67 points (without them: 60%)

  2. 42.67%

    Blank: 9Wrong answers cost 5.33 points (without them: 48%)

  3. 56.00%

    Blank: 7Wrong answers cost 4 points (without them: 60%)

Overall percentage (weighted average)

51.05%

All questions together, without weights: 50.83%

Each correct answer is worth 3 points and each wrong answer minus 1, so three wrong answers cancel one correct answer. A blank question is zero.

A Konkur rank is built from standardised subject scores and high-school grades, not directly from these percentages; this figure is for comparing your own tests.

The test percentage formula with negative marking

Three common cases

  • % = (3 × correct − wrong) ÷ (3 × total) × 100One-third negative marking: Iran's national Konkur and most mock exams
  • % = (correct − wrong ÷ 4) ÷ total × 100One-quarter negative marking: some exams
  • % = correct ÷ total × 100No negative marking

In Iran's national university entrance exam (Konkur), each correct answer earns three points and each wrong answer loses one, so every three wrong answers cancel one right answer. A question you leave blank is zero, not negative. Because a correct answer is worth three points, the denominator is three times the number of questions.

Example: mathematics has 30 questions; you answered 18 correctly, 6 wrongly and left 6 blank. The numerator is 3 × 18 minus 6, which is 48, and the denominator is 3 × 30, which is 90. Your percentage is 48 ÷ 90 × 100 = 53.33. Had you left those 6 wrong questions blank, it would have been 60; so the wrong answers cost you 6.67 percentage points.

In a subject with 30 questions, each correct answer adds 3.33 percentage points and each wrong answer takes away 1.11. If every answer is wrong, the percentage drops to −33.33, the lowest possible with one-third negative marking.

The overall percentage of several subjects with weights

Weighted average of the percentages

  • Total % = Σ (% × coefficient) ÷ Σ coefficientEach subject's percentage times its weight, summed, divided by the sum of the weights
Example: the overall percentage of three subjects with hypothetical weights
CourseNumber of questionsCorrectIncorrectPercentWeight
Math3018653.333
Physics2512442.672
Chemistry25153562
Overall % = (53.33 × 3 + 42.67 × 2 + 56 × 2) ÷ 7 = 51.05

If you count all the questions together without weights, you get 50.83 percent; the calculator shows both numbers. Take the weights from the exam's own guide booklet: in the Konkur, each subject's weight depends on the exam group and field of study.

A Konkur rank doesn't come straight from these percentages. Iran's testing organisation (Sanjesh) converts each subject's percentage into a standardised score (“taraz”) that also depends on how the other candidates did in that subject, and high-school grades count towards the final score as well. This tool's overall percentage is for comparing your own mock exams, not for predicting a rank.

Leave it blank or guess?

With four options and one-third negative marking, a completely blind guess neither helps nor hurts on average: a one-in-four chance of three points and a three-in-four chance of minus one add up to zero; it only makes the result more volatile. But if you can rule out one option with certainty, guessing among the remaining three helps on average.

That's why the “wrong answers cost … points” line under each subject in the calculator matters: if, over several tests in a row, wrong answers take a large share of your percentage, most of your guesses come from not knowing rather than from ruling options out.

Online multiple-choice tests with negative marking

If you run mock exams for a class or a tutoring centre, Porsino's Online exam builder lets you set the negative marking for each question and grades automatically. Each person's report card shows correct, wrong and blank answers, the negative marks, the percentage, the rank and a table per topic. For term and cumulative GPA, see the GPA calculator for details.

Frequently asked questions

What is the Konkur percentage formula?

Percentage = (3 × correct − wrong) ÷ (3 × total questions) × 100. Every three wrong answers cancel one correct answer, and a blank question counts as zero.

Is there negative marking for blank questions?

No. A question you didn't answer neither adds nor takes away anything; only wrong answers are marked negatively.

What does a negative percentage mean, and how low can it go?

When the wrong answers outweigh the correct ones, the percentage turns negative, for example with 2 correct and 9 wrong. With one-third negative marking, the lowest possible percentage (all wrong) is −33.33.

How many percentage points is each Konkur question worth?

It depends on the number of questions in that subject: each correct answer adds 100 ÷ the number of questions, and each wrong answer takes away a third of that. In a 30-question subject, each correct answer is worth 3.33 points and each wrong answer minus 1.11.

How do I calculate my overall Konkur percentage?

Multiply each subject's percentage by its weight, add them up and divide by the sum of the weights. That figure is good for comparing your own tests, but the rank is built from standardised scores and high-school grades, not directly from percentages.

Should I guess on a test with negative marking?

With four options and one-third negative marking, a blind guess has no effect on average. If you can rule out at least one option with certainty, guessing among the rest works in your favour on average.

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