# 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.

Phiên bản tương tác: https://www.calcopenly.com/vi/everyday/gpa-calculator
Chủ đề: Máy tính hằng ngày

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.

## Dữ liệu đầu vào

- **Start from** (lựa chọn: Courses, Phần trăm, 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)**

## Kết quả

- GPA (4.0 scale) — kết quả chính
- Credits
- Grade points earned
- Letter grade
- Percentage (CBSE, 9.5 × CGPA)

## Công thức

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

## Ví dụ có lời giải

### 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**
- Nguồn đối chiếu: 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: có
- **GPA (4.0 scale): 3.65**
- Nguồn đối chiếu: 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**
- Nguồn đối chiếu: 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**
- Nguồn đối chiếu: U-M LSA: E = 0; College Board: F = 0

### 88% on the College Board scale

- Start from: Phần trăm
- Percentage grade: 88%
- **GPA (4.0 scale): 3.00**
- **Letter grade: B**
- Nguồn đối chiếu: College Board table: B 80–89 = 3.0

### Exactly 65%

- Start from: Phần trăm
- Percentage grade: 65%
- **GPA (4.0 scale): 1.00**
- **Letter grade: D**
- Nguồn đối chiếu: College Board table: F is below 65, so 65 is the lowest D (1.0)

## Câu hỏi

### 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.

### “GPA calculator” chính xác đến mức nào?

Độ chính xác phụ thuộc vào dữ liệu nhập và giả định của phương pháp. Phép tính thập phân dùng 50 chữ số có nghĩa, nhưng ước lượng, phương pháp số và dữ liệu nguồn có thể kém chính xác hơn; làm tròn khi hiển thị không loại bỏ các giới hạn đó. Ví dụ có lời giải đã đối chiếu với nguồn độc lập: 8. Ví dụ, “Four courses” được kiểm tra bằng Python decimal with U-M LSA points: (3.7×3 + 3.3×4 + 4×3 + 2×2)/12 = 40.3/12.

### Phương pháp này lấy từ đâu?

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.

## Nguồn

- [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)