Required Marks Calculator – Find Marks Needed to Pass

Allocate remaining marks across separate assessments using the inputs on this page.

Find an aggregate requirement or allocate it across assessments

The original form finds marks still needed from one remaining raw-mark pool. The additional assessment plan keeps distinct paper maxima, assumed scores and separate numerical minima visible. It solves for one selected assessment while holding the other entered plans fixed. Use these calculations only when raw points have equal value; syllabus-weighted categories need a different model.

Enter total, completed and earned marks correctly

Total is the maximum for the complete assessment set. Completed is the maximum of work already assessed, and earned is the score received from that work. Remaining maximum = total − completed. Earned must not exceed completed, and completed must not exceed total. With no assessed work, completed and earned are both zero. With no remaining maximum, use the original form to check whether the target is already secured.

A percentage target converts to target marks = target percentage × total ÷ 100. A direct-marks target uses the entered mark value. Additional marks needed are max(0, target marks − earned). The original form either keeps a decimal requirement or rounds upward for whole marks, and reports secured, full-marks-needed and impossible outcomes.

Reconcile the remaining papers exactly

In the assessment plan, every paper maximum must sum exactly to total minus completed. Give each paper a separate minimum in marks, not a percentage, and a positive score increment. Enter zero when no separate numerical minimum applies. The illustrative 40-mark minima are examples, not an institution policy.

Select one paper to solve and enter planned marks for the others. Each known plan must be within its maximum and on its zero-based score grid. The selected paper’s planned field is disabled and ignored. Its required score is the larger of its separate minimum and the marks still needed after earned marks and the other plans, rounded upward to its next grid score.

For a 500-mark total, 300 assessed, 180 earned and a 50% target, the aggregate needs 70 more marks. Suppose two 100-mark papers remain, both with a 40-mark minimum. Planning 50 in Paper A means Paper B needs only 20 for the aggregate, but its separate minimum raises the requirement to 40. The resulting 270/500 is 54%. At 39, the aggregate still works but Paper B’s minimum does not.

If Paper A is instead planned at 30, the plan can reach 250/500 with 40 in Paper B, yet Paper A remains below its own entered minimum. The result keeps that failure separate from the aggregate calculation.

Check attainable scores and precision

A grid increment of 2 means 0, 2, 4, 6 and so on. A seven-mark paper on that grid has six as its largest attainable value; the calculator does not automatically add seven. If the selected paper cannot meet both thresholds on its grid within the maximum, it reports impossibility. Otherwise it also checks one increment below the minimum candidate.

The plan accepts 1–20 papers and plain decimals up to 18 places, with numerical inputs capped at 1,000,000,000. Thresholds, grid ceilings and remaining-maxima reconciliation use exact rational arithmetic. The candidate is shown exactly; other decimal displays use at most six places. Source edits clear the previous plan result.

Limits and related calculations

The zero-based grid assumes every multiple is attainable. Negative marking, partial-credit combinations and caps can create another score set. Curves, grace marks, normalization, dropped work, eligibility and other institutional rules are not inferred. The original whole/decimal mode and the additional plan’s increments are separate controls.

For percentages with official course weights use the Weighted Grade Calculator. For one weighted final with an exam minimum and mark increments use the Grade Needed on Final Calculator. Follow the current syllabus or examination instructions; entered plans are assumptions, not official grades. Calculations do not retrieve or save student records.