Overview & Core Concept
Learn how letter grades convert to quality points, how course credits weight your scores, and how to compute both semester and cumulative GPAs.
Mathematical Formula
\text{GPA} = \frac{\sum (\text{Grade Quality Points} \times \text{Credit Hours})}{\text{Total Credit Hours}}Step-by-Step Instructions
Step 1: Convert Letter Grades to Grade Points
On a standard 4.0 scale: A=4.0, A-=3.7, B+=3.3, B=3.0, B-=2.7, C+=2.3, C=2.0, D=1.0, F=0.0.
Step 2: Multiply by Course Credit Hours
For college or credit-bearing high school courses, multiply each course grade point by its credit hours to get Quality Points.
Step 3: Sum Total Quality Points
Add up the quality points earned across all completed courses.
Step 4: Divide by Total Credit Hours
Divide total quality points by total credit hours attempted.
Realistic Worked Example
College Semester with 14 Credit Hours
Math 101 (4 credits, A), History 110 (3 credits, B+), English 102 (3 credits, A-), Physics Lab (4 credits, B).
- Math 101: 4 credits × 4.0 = 16.0 quality points
- History 110: 3 credits × 3.3 = 9.9 quality points
- English 102: 3 credits × 3.7 = 11.1 quality points
- Physics Lab: 4 credits × 3.0 = 12.0 quality points
- Total Quality Points = 16.0 + 9.9 + 11.1 + 12.0 = 49.0 points
- Total Credits = 4 + 3 + 3 + 4 = 14 credits
- GPA = 49.0 ÷ 14 = 3.50
The semester GPA is exactly 3.50 (Dean's Honor List distinction).
Key Takeaways
- A 4-credit course has a 33% greater impact on your GPA than a 3-credit course.
- Honors (+0.5) and AP/IB courses (+1.0) boost weighted GPA on 5.0 scales.
- Use the Cumulative GPA Calculator to see how this semester shifts your overall degree standing.
Related Grading Guides & Calculators
The comprehensive metric across all academic years.
Why a 90% in one class may mean something different in another.
5.0 scale with Honors (+0.5) and AP (+1.0) bonuses.
Credit-hour weighted quality points computation.
Step-by-step arithmetic for quality points and credit hours.
Mathematical equation for credit-weighted GPA.
Official reference table for regular, honors, and AP points.
Answers on transcript rules and admissions calculations.
Authoritative References & Academic Standards
Vetted against official government, institutional, and collegiate guidelines
National academic standards for undergraduate 4.0 quality points, credit-hour weighting, and transcript calculations.
Official standards for Advanced Placement course difficulty, AP exam grading scales, and high school weighted point bonuses.
Overview of secondary and higher education grading metrics, honors multipliers, and collegiate Latin honors thresholds.