{
    "name": "Passing Marks Calculator",
    "url": "https://calculators.geekmidst.com/calculators/passing-marks-calculator",
    "markdown": "https://calculators.geekmidst.com/calculators/passing-marks-calculator.md",
    "category": "Education",
    "description": "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.",
    "summary": "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"
    ],
    "applies_to": "Worldwide",
    "last_updated": "2026-10-29",
    "computation": "Results are computed in the visitor’s browser on the HTML page. This API describes the calculator; it does not compute results.",
    "inputs": [
        {
            "name": "total",
            "label": "Maximum marks",
            "type": "number",
            "default": "80"
        },
        {
            "name": "pass_pct",
            "label": "Pass percentage",
            "type": "number",
            "default": "33",
            "unit": "%"
        },
        {
            "name": "scored",
            "label": "Your marks",
            "type": "number",
            "default": "30"
        }
    ],
    "outputs": [
        {
            "key": "pass_marks_whole",
            "label": "Minimum whole marks to pass",
            "format": "integer"
        },
        {
            "key": "pass_marks",
            "label": "Exact pass mark",
            "format": "number"
        },
        {
            "key": "your_pct",
            "label": "Your percentage",
            "format": "percent"
        },
        {
            "key": "margin",
            "label": "Marks above (+) or below (−) the pass mark",
            "format": "number"
        },
        {
            "key": "status",
            "label": "Result",
            "format": "text"
        }
    ],
    "formula": {
        "text": "Pass mark = Maximum × Pass% ÷ 100;  Whole marks = ⌈Pass mark⌉;  Margin = Your marks − Pass mark",
        "variables": {
            "Maximum": "maximum marks for the paper",
            "Pass%": "minimum percentage required to pass"
        }
    },
    "worked_example": {
        "inputs": {
            "total": "80",
            "pass_pct": "33",
            "scored": "30"
        },
        "steps": [
            "Pass mark = 80 × 33 ÷ 100 = 26.4.",
            "Marks are whole numbers, so you need at least 27.",
            "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."
    },
    "interpretation": "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": [
        "A single pass percentage applies to the whole paper."
    ],
    "limitations": [
        "Grace marks, moderation and separate component minimums are not modelled."
    ],
    "rules": null,
    "faqs": [
        {
            "question": "Why round the pass mark up?",
            "answer": "If marks are awarded in whole numbers, 26 would be below 26.4, so 27 is the smallest score that meets the requirement."
        },
        {
            "question": "What pass percentage should I use?",
            "answer": "Use the one your board, university or teacher publishes for that exam; it varies widely."
        }
    ],
    "sources": [],
    "related": [
        {
            "name": "Percentage Grade Calculator",
            "url": "https://calculators.geekmidst.com/calculators/percentage-grade-calculator"
        },
        {
            "name": "Required Final Exam Score Calculator",
            "url": "https://calculators.geekmidst.com/calculators/required-final-exam-score-calculator"
        },
        {
            "name": "Percentage Calculator",
            "url": "https://calculators.geekmidst.com/calculators/percentage-calculator"
        }
    ],
    "disclaimer": null,
    "publisher": "GM¹X CalcVerse"
}