# Passing Marks Calculator

> Find the minimum marks needed to pass from the maximum marks and the pass percentage, and see how far your score is above or below it.

Category: Education · Applies to: Worldwide · Last updated: 2026-10-29
Interactive calculator: https://calculators.geekmidst.com/calculators/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.

## Inputs
- Maximum marks (default 80)
- Pass percentage (unit %; default 33)
- Your marks (default 30)

## Results
- Minimum whole marks to pass
- Exact pass mark
- Your percentage
- Marks above (+) or below (−) the pass mark
- Result

## Formula

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

Where:
- 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.

**Result:** 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.

## Related calculators
- [Percentage Grade Calculator](https://calculators.geekmidst.com/calculators/percentage-grade-calculator)
- [Required Final Exam Score Calculator](https://calculators.geekmidst.com/calculators/required-final-exam-score-calculator)
- [Percentage Calculator](https://calculators.geekmidst.com/calculators/percentage-calculator)

Source: GM¹X CalcVerse — https://calculators.geekmidst.com/calculators/passing-marks-calculator