# 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.

Интерактивная версия: https://www.calcopenly.com/ru/everyday/gpa-calculator
Тема: Повседневные калькуляторы

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.

## Входные данные

- **Start from** (варианты: Courses, Проценты, 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)**

## Результаты

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

## Формула

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

## Примеры с решением

### 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**
- Источник проверки: 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: да
- **GPA (4.0 scale): 3.65**
- Источник проверки: 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**
- Источник проверки: 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**
- Источник проверки: U-M LSA: E = 0; College Board: F = 0

### 88% on the College Board scale

- Start from: Проценты
- Percentage grade: 88%
- **GPA (4.0 scale): 3.00**
- **Letter grade: B**
- Источник проверки: College Board table: B 80–89 = 3.0

### Exactly 65%

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

## Вопросы

### 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.

### Насколько точен «GPA calculator»?

Точность зависит от введённых данных и допущений метода. Десятичная арифметика использует 50 значащих цифр, но оценки, численные методы и исходные данные могут быть менее точными; округление на экране не устраняет эти ограничения. Решённые примеры, проверенные по независимым источникам: 8. Например, «Four courses» проверяется по источнику Python decimal with U-M LSA points: (3.7×3 + 3.3×4 + 4×3 + 2×2)/12 = 40.3/12.

### Откуда взята методика?

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.

## Источники

- [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)