Converting Scores to Percentages
The basic formula for converting any score to a percentage:
Percentage = (Points Earned รท Total Points) ร 100
Example:
You scored 85 out of 100 on a test:
Percentage = (85 รท 100) ร 100 = 85%
Standard Grade Scale
| Letter Grade | Percentage | GPA Points |
|---|---|---|
| A+ | 97-100% | 4.0 |
| A | 93-96% | 4.0 |
| A- | 90-92% | 3.7 |
| B+ | 87-89% | 3.3 |
| B | 83-86% | 3.0 |
| B- | 80-82% | 2.7 |
| C+ | 77-79% | 2.3 |
| C | 73-76% | 2.0 |
| C- | 70-72% | 1.7 |
| D | 60-69% | 1.0 |
| F | Below 60% | 0.0 |
Weighted Grades
When assignments have different weights:
Weighted Grade = ฮฃ(Grade ร Weight) รท ฮฃ(Weights)
Example:
- Homework (20%): 95%
- Midterm (30%): 85%
- Final (50%): 90%
Weighted Grade = (95ร0.20 + 85ร0.30 + 90ร0.50) = 19 + 25.5 + 45 = 89.5%
Calculating GPA
GPA = ฮฃ(Grade Points ร Credit Hours) รท Total Credit Hours
Example:
| Course | Credits | Grade | Points |
|---|---|---|---|
| Math | 4 | A (4.0) | 16 |
| English | 3 | B+ (3.3) | 9.9 |
| Science | 4 | A- (3.7) | 14.8 |
| History | 3 | B (3.0) | 9 |
| Total | 49.7 | ||
GPA = 49.7 รท 14 = 3.55
What Grade Do I Need?
To calculate the grade needed on a final exam:
Needed = (Target - Current ร (1 - Final Weight)) รท Final Weight
Example:
Current grade: 85%, Final is 30% of grade, Target: 90%
Needed = (90 - 85 ร 0.70) รท 0.30 = (90 - 59.5) รท 0.30 = 101.7%
You would need over 100% on the final - might need to adjust your target!
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