# GPA calculator

> GPA calculator: credit-weighted grade point average on the 4.0 scale from letter grades, plus percentage-to-GPA and CBSE CGPA-to-percentage conversions.

Versione interattiva: https://www.calcopenly.com/it/everyday/gpa-calculator
Argomento: Calcolatori quotidiani

GPA is a credit-weighted average. Each course's grade points (A = 4.0, A− = 3.7, B+ = 3.3 and so on down to D− = 0.7 and F = 0 on the University of Michigan LSA scale) are multiplied by its credits, added up and divided by the total credits.

The default four courses (A− for 3 credits, B+ for 4, A for 3 and C for 2) earn 40.3 grade points over 12 credits, a GPA of 3.36. Two other modes convert a percentage to the 4.0 scale with the College Board's table (88% is a B, worth 3.0) and a 10-point CGPA to a percentage with CBSE's rule of 9.5 × CGPA.

Schools differ: some count A+ as 4.3 (a switch under More options), some add weight for honors and AP courses, and many universities publish their own CGPA formula. Check the key on your transcript before quoting the number.

## Dati

- **Start from** (opzioni: Courses, Percentuali, 10-point CGPA)
- **Courses: grade, credits**: One course per line, optionally with a name first: “Calculus, B+, 4”. Grade points like 3.7 also work.
- **Count A+ as 4.3**
- **Percentage grade**
- **CGPA (out of 10)**

## Risultati

- GPA (4.0 scale) — risultato principale
- Credits
- Grade points earned
- Letter grade
- Percentage (CBSE, 9.5 × CGPA)

## Formula

$$
\begin{gathered}\text{GPA} = \frac{\sum \text{points}_i \times \text{credits}_i}{\sum \text{credits}_i} \\ \%_{\text{CBSE}} = 9.5 \times \text{CGPA}\end{gathered}
$$

## Esempi svolti

### Four courses

- Start from: Courses
- Courses: grade, credits: A-, 3 / B+, 4 / A, 3 / C, 2
- **GPA (4.0 scale): 3.36**
- **Credits: 12**
- **Grade points earned: 40.3**
- Fonte di verifica: Python decimal with U-M LSA points: (3.7×3 + 3.3×4 + 4×3 + 2×2)/12 = 40.3/12

### A+ as 4.3

- Start from: Courses
- Courses: grade, credits: A+, 3 / B, 3
- Count A+ as 4.3: sì
- **GPA (4.0 scale): 3.65**
- Fonte di verifica: Hand calculation: (4.3×3 + 3×3)/6

### A+ as 4.0 (U-M LSA)

- Start from: Courses
- Courses: grade, credits: Chemistry A+ 3 / History B 3
- **GPA (4.0 scale): 3.50**
- Fonte di verifica: U-M LSA: A+ = 4.0; (4×3 + 3×3)/6

### All failing grades

- Start from: Courses
- Courses: grade, credits: F, 3 / E, 4
- **GPA (4.0 scale): 0.00**
- **Credits: 7**
- Fonte di verifica: U-M LSA: E = 0; College Board: F = 0

### 88% on the College Board scale

- Start from: Percentuali
- Percentage grade: 88%
- **GPA (4.0 scale): 3.00**
- **Letter grade: B**
- Fonte di verifica: College Board table: B 80–89 = 3.0

### Exactly 65%

- Start from: Percentuali
- Percentage grade: 65%
- **GPA (4.0 scale): 1.00**
- **Letter grade: D**
- Fonte di verifica: College Board table: F is below 65, so 65 is the lowest D (1.0)

## Domande

### How do you calculate GPA?

Multiply each course's grade points by its credits, add the products and divide by the total credits. A− (3.7) for 3 credits, B+ (3.3) for 4, A (4.0) for 3 and C (2.0) for 2 give 11.1 + 13.2 + 12 + 4 = 40.3 points over 12 credits, a GPA of 3.36. Each course counts in proportion to its credits.

### What letter grade is a 3.5 GPA?

A 3.5 sits halfway between a B+ (3.3) and an A− (3.7) on the plus/minus scale, so it is roughly an A−/B+ average: equal credits of A− and B+ average exactly 3.5. On the College Board's table without plus or minus grades, it falls between a B (3.0) and an A (4.0).

### How do you convert a percentage to a 4.0 GPA?

Use your school's own table where there is one. The College Board's general table gives 90–100% = A = 4.0, 80–89% = B = 3.0, 70–79% = C = 2.0, 66–69% = D = 1.0 and below 65% = F = 0.0, so 88% converts to 3.0. It has no plus or minus steps, so it is coarser than a transcript GPA.

### How do you convert CGPA to percentage?

For CBSE results, multiply the CGPA by 9.5. CBSE Circular 24 of 28 May 2010 gives the overall indicative percentage of marks as 9.5 × CGPA, so a CGPA of 8.2 is about 77.9% and 9.0 is 85.5%. Universities often set their own formula, so check the rule printed on your marksheet or in the university's regulations.

### Is an A+ worth 4.0 or 4.3?

It depends on the school. The University of Michigan's College of Literature, Science, and the Arts counts A+ as 4.0, the same as an A, while other schools award 4.3. Switch on "Count A+ as 4.3" to compare: an A+ and a B in two 3-credit courses average 3.5 under the first rule and 3.65 under the second.

### Quanto è preciso «GPA calculator»?

La precisione dipende dai dati inseriti e dalle ipotesi del metodo. Il calcolo decimale usa 50 cifre significative, ma stime, metodi numerici e dati di origine possono essere meno precisi; l’arrotondamento visualizzato non elimina questi limiti. Esempi svolti verificati con fonti indipendenti: 8. Per esempio, «Four courses» viene verificato con Python decimal with U-M LSA points: (3.7×3 + 3.3×4 + 4×3 + 2×2)/12 = 40.3/12.

### Da dove proviene il metodo?

University of Michigan LSA — Grades and grading (A 4.0, A− 3.7, B+ 3.3 …); College Board BigFuture — How to convert your GPA to a 4.0 scale; CBSE Circular 24/2010 — indicative percentage = 9.5 × CGPA.

## Fonti

- [University of Michigan LSA — Grades and grading (A 4.0, A− 3.7, B+ 3.3 …)](https://lsa.umich.edu/lsa/academics/lsa-academic-policies-and-procedures/grades-and-transcript-notations.html)
- [College Board BigFuture — How to convert your GPA to a 4.0 scale](https://bigfuture.collegeboard.org/plan-for-college/get-started/how-to-convert-gpa-4.0-scale)
- [CBSE Circular 24/2010 — indicative percentage = 9.5 × CGPA](https://www.cbse.gov.in/circulars/cir24-2010.pdf)