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MasterMath

Test Score Calculator

Work out the score of a multiple-choice exam with negative marking, which is how competitive exams and many entrance tests are marked.

Test score

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Test score—
Net correct answers—
Penalty for wrong answers—
Score without the penalty—
Percentage correct—
Questions left blank—

How this was worked out

    The formula

    score = (correct − wrong ÷ (options − 1)) ÷ questions × maximum

    Where it comes from

    The penalty exists to cancel out guessing. Answer at random on a four-option test and you get one in four right: for every lucky correct answer there are three wrong ones. Taking a third of a mark off per wrong answer leaves the expected value of guessing at zero, and the exam measures knowledge rather than nerve.

    How to work it out by hand

    1. Divide the wrong answers by the number of options minus one
    2. Subtract that from the correct answers
    3. Divide by the total number of questions
    4. Multiply by the maximum score

    What is worth knowing

    From that comes the correct strategy: if you can rule out at least one option, answering pays, because your odds already beat the guessing the penalty is set to cancel. If you have no idea and can rule out nothing, leaving it blank is statistically neutral. Always check the exact formula in the exam rules: some deduct a quarter of a mark and others a third.

    Frequently asked questions

    How is a negatively marked test scored?

    Correct answers minus wrong ones divided by the options minus one, all divided by the number of questions and multiplied by the maximum score.

    How much does a wrong answer cost?

    On a four-option test, a third of a correct answer. On a five-option one, a quarter. The general formula is 1 ÷ (options − 1).

    Should I answer if I am unsure?

    Yes, if you can rule out at least one option. If you can rule out none, guessing is neutral: it neither adds nor subtracts over the long run.

    Do blank questions count against you?

    No. Only wrong answers deduct: the ones you leave out simply score nothing.