USA · QPA · 4.0 / 4.33 Scale

Carnegie Mellon University
QPA / GPA Calculator

Calculate your CMU Quality Point Average (QPA) and convert it to percentage using the official undergraduate 4.0 scale or the graduate plus/minus 4.33 scale.

Tool 1

CMU QPA Calculator

Add each course with its letter grade and units. Choose your grading standard — the calculation uses CMU's official quality point values.

Add Your Courses

CMU computes QPA = Σ Quality Points ÷ Σ Factorable Units. Undergraduate uses a 4.0 scale; graduate uses a plus/minus 4.33 scale.

The Math

How CMU QPA Is Calculated

CMU multiplies each grade's quality point value by the course units to get quality points, then divides total quality points by total factorable units.

CMU QPA Formula
\[ \text{QPA} = \frac{\displaystyle\sum \text{Quality Points}}{\displaystyle\sum \text{Factorable Units}} = \frac{\displaystyle\sum (\text{Grade Point} \times \text{Units})}{\displaystyle\sum \text{Units}} \]
Quality PointsGrade point value × units for each course
Factorable UnitsTotal letter-graded units (excludes P, N, O, W, I)

📝 Worked Example (Undergraduate)

Three letter-graded courses on the 4.0 scale:

CourseUnitsGradeGrade PointQuality Points
15-11212.0A4.0012 × 4.00 = 48.00
21-12710.0B3.0010 × 3.00 = 30.00
76-1019.0C2.009 × 2.00 = 18.00
Total31.096.00

Plugging into the formula:

\[ \text{QPA} = \frac{96.00}{31.0} \approx \mathbf{3.10} \]
Tool 2

CMU QPA to Percentage Converter

Convert your 4.0-scale CMU QPA to an equivalent percentage instantly.

Convert QPA → Percentage

Enter any CMU QPA between 0.0 and 4.33.

The Conversion Formula

CMU's primary scale is 4.0, so:

\[ \text{Percentage} = \text{QPA} \times 25 \quad \text{or equivalently} \quad \text{Percentage} = \left(\frac{\text{QPA}}{4.0}\right) \times 100 \]

Example: If your QPA is 3.5, then Percentage = 3.5 × 25 = 87.50%.

Reference

Official CMU Grading Scale

Quality point values used to compute QPA, sourced from the CMU University Grading Policy.

📘 Undergraduate Grading Standard (4.0 scale)

Note: undergraduate courses use no +/- grades, and R (not F) denotes failure.

GradeQuality PointsDefinition
A4.0Excellent
B3.0Good
C2.0Satisfactory
D1.0Passing
R0.0Failure

📗 Graduate Grading Standard (plus/minus 4.33 scale)

Used for graduate courses. Some colleges restrict certain grades (e.g. no A+ in H&SS or CIT; no D or D+ in Tepper).

GradeQuality PointsDefinition
A+4.33Excellent
A4.00Excellent
A−3.67Excellent
B+3.33Good
B3.00Good
B−2.67Good
C+2.33Satisfactory
C2.00Satisfactory
C−1.67Satisfactory
D+1.33Passing
D1.00Passing
R0.00Failure

📌 Grades Excluded from QPA (Non-factorable)

The following marks carry no quality points and are not counted in factorable units: P (Passing, pass/fail), N (Not Passing), S (Satisfactory, graduate), O (Audit), W (Withdrawal), I (Incomplete), and AD (transfer / examination credit).

When a course is repeated, all attempts are recorded and counted in the QPA.

Got Questions?

CMU QPA — Frequently Asked Questions

What grading scale does Carnegie Mellon University use?

CMU reports a Quality Point Average (QPA). The undergraduate standard is a non-plus/minus 4.0 scale (A = 4.0, B = 3.0, C = 2.0, D = 1.0, R = 0.0). The graduate standard is a plus/minus 4.33 scale (A+ = 4.33 down to D = 1.0, R = 0.0).

What does QPA mean at CMU?

QPA stands for Quality Point Average — CMU's term for GPA. It equals total quality points divided by total factorable units, where quality points = grade point value × units.

Why does CMU use R instead of F?

CMU uses the grade R (value 0.0) to denote failure on both the undergraduate and graduate scales. It functions exactly like an F.

How do I convert my CMU QPA to a percentage?

For the 4.0 scale use Percentage = QPA × 25 (equivalent to (QPA ÷ 4.0) × 100). For example, a QPA of 3.5 converts to 87.5%.

Which grades are left out of my CMU QPA?

Marks of P, N, S, O, W, I, and AD are non-factorable — they carry no quality points and are excluded from factorable units, so they don't affect your QPA.

Reference: All grading data verified against Carnegie Mellon University — Grading Policy (University Grading Standards).