Passing Marks Calculator

Passing marks are the pass percentage of the maximum marks. Enter your exam’s pass percentage (it differs by board, university and paper) to get the exact and whole-mark figure.

Also called: Pass marks calculator · Minimum marks calculator

  • Last updated
  • Formula tested against reference values

Your numbers

Example value; enter the pass percentage set for your exam.

Result

Minimum whole marks to pass
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Calculating…

Exact pass mark
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Your percentage
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Marks above (+) or below (−) the pass mark
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Result
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How to use this calculator

  1. Enter or choose maximum marks.
  2. Enter or choose pass percentage.
  3. Enter or choose your marks.
  4. The minimum whole marks to pass updates as you type. Use Copy result or Share to keep it.

Method

Pass mark = Maximum × Pass% ÷ 100; Whole marks = ⌈Pass mark⌉; Margin = Your marks − Pass mark

Maximum
maximum marks for the paper
Pass%
minimum percentage required to pass

Worked example

  1. Pass mark = 80 × 33 ÷ 100 = 26.4.
  2. Marks are whole numbers, so you need at least 27.
  3. 30 marks is 30 ÷ 80 = 37.5%, which is 3.6 above the exact pass mark.

At 33%, an 80-mark paper needs 27 marks to pass; 30 marks passes with 3.6 to spare.

What the result means

Some boards round the pass mark down or award grace marks, and some require a separate pass in theory and practical components. Check the rules for your exam.

Assumptions and limits

  • A single pass percentage applies to the whole paper.
  • Grace marks, moderation and separate component minimums are not modelled.

Questions

Why round the pass mark up?

If marks are awarded in whole numbers, 26 would be below 26.4, so 27 is the smallest score that meets the requirement.

What pass percentage should I use?

Use the one your board, university or teacher publishes for that exam; it varies widely.