Pass/Fail Calculator Formula

Understand the math behind the pass/fail calculator. Each variable explained with a worked example.

Use the Pass/Fail Calculator

Formulas Used

Pass Status

passes = current_score >= passing_threshold ? 1 : 0

1 = Pass, 0 = Fail

Points Above/Below Passing

margin = points_earned - points_needed

Percentage Margin

percentage_margin = current_score - passing_threshold

Variables

VariableDescriptionDefault
current_scoreYour Current Score(%)68
passing_thresholdPassing Threshold(%)60
total_possibleTotal Points Possible500
points_earnedDerived value= current_score / 100 * total_possiblecalculated
points_neededDerived value= passing_threshold / 100 * total_possiblecalculated

How It Works

How Pass/Fail Grading Works

Pass/fail converts a percentage grade into a binary outcome.

Formula

Pass = Current Score >= Passing Threshold

Common Thresholds

  • Undergraduate: 60% (D) or 70% (C)
  • Graduate: 70% (C) or 80% (B)

    • Worked Example

    A student has a 68% with a 60% passing threshold in a 500-point course.

    current_score = 68passing_threshold = 60total_possible = 500
    1. 01Current score: 68% >= 60%: Pass
    2. 02Points earned: 68% x 500 = 340
    3. 03Points needed: 60% x 500 = 300
    4. 04Margin: 340 - 300 = 40 points above passing

    Ready to run the numbers?

    Open Pass/Fail Calculator