Wiki

GPA Calculator: Understanding the 4.0 Grade Point Scale

How to calculate your GPA using the credit-weighted average formula on the standard 4.0 scale. Formulas and worked examples.

Verified against College Board - How to Convert Your GPA to a 4.0 Scale on 20 Feb 2025 Updated 20 February 2025 4 min read
Open calculator

Translation unavailable - this article is shown in English. View English version

Summary

GPA (Grade Point Average) is a standardized measure of academic achievement used by schools and universities, primarily in the United States. It converts letter grades into numeric values on a 4.0 scale and computes a weighted average based on the credit hours of each course. A higher GPA indicates stronger academic performance and is used for admissions decisions, scholarship eligibility, honors designation, and graduate school applications.

How it works

The GPA calculation is a weighted average where each course’s grade points are multiplied by its credit hours:

  1. Convert each letter grade to its numeric equivalent on the 4.0 scale (e.g., A = 4.0, B+ = 3.3, B = 3.0).
  2. Multiply each grade’s point value by the number of credit hours for that course to get the quality points.
  3. Sum all quality points across all courses.
  4. Divide the total quality points by the total credit hours.

The formulas

GPA = Sum(grade points * credits) / Sum(credits)

Where

grade points= Numeric value of the letter grade on the 4.0 scale
credits= Credit hours assigned to the course

Standard 4.0 scale

Letter GradeGrade Points
A4.0
A-3.7
B+3.3
B3.0
B-2.7
C+2.3
C2.0
C-1.7
D+1.3
D1.0
F0.0

Worked examples

Semester GPA for three courses

1

Course 1: English (3 credits, A)

4.0 * 3 = 12.0 quality points

= 12.0

2

Course 2: Chemistry (4 credits, B+)

3.3 * 4 = 13.2 quality points

= 13.2

3

Course 3: History (3 credits, A-)

3.7 * 3 = 11.1 quality points

= 11.1

4

Sum quality points and credits

(12.0 + 13.2 + 11.1) / (3 + 4 + 3) = 36.3 / 10

= 3.63

Result

Semester GPA: 3.63

Cumulative GPA across two semesters

1

Semester 1: 15 credits, 52.5 quality points

52.5 / 15 = 3.50 semester GPA

= 52.5 pts

2

Semester 2: 12 credits, 43.2 quality points

43.2 / 12 = 3.60 semester GPA

= 43.2 pts

3

Cumulative calculation

(52.5 + 43.2) / (15 + 12) = 95.7 / 27

= 3.54

Result

Cumulative GPA: 3.54

Practical uses

  • College admissions: Most US universities consider GPA as a primary factor. Competitive schools often look for GPAs above 3.5 on the 4.0 scale.
  • Scholarships: Many merit-based scholarships require a minimum GPA (commonly 3.0 or higher) for eligibility.
  • Academic standing: Schools use GPA thresholds to determine Dean’s List (typically 3.5+), honors (3.0-3.9+), and academic probation (below 2.0).
  • Graduate school: Master’s and PhD programs frequently require a minimum undergraduate GPA of 3.0 for admission.

Assumptions & limitations

  • Uses the unweighted 4.0 scale. Some high schools use a weighted scale (up to 5.0) that gives extra points for honors or AP courses. This calculator uses the standard unweighted scale.
  • Plus/minus grading varies by institution. Not all schools use +/- modifiers. Some assign A = 4.0 with no A+ or A- distinction.
  • Pass/fail courses are typically excluded from GPA calculations since they carry no grade points.
  • Transfer credits may or may not be included in GPA depending on institutional policy.

Sources

GPA grade point average 4.0 scale college education