The final grade formula
The score you must earn on your final exam to achieve a specific overall course grade, given the share of the course grade the final represents and your current grade going into the final.
The math is short: required final = (target − current × (1 − weight)) ÷ weight, where the weight is a fraction (e.g. 0.30 for a final worth 30%). The intuition: your current grade is locked in for (1 − weight) share of the course; the final controls the rest.
- Formula
- (target − current × (1 − w)) ÷ w
- Inputs needed
- Current grade, target course grade, final weight (%)
- Typical final weight
- 20–40% in US high school, 25–50% in college
- Returned as
- Percentage score required on the final exam
Worked example
You have a 82% going into the final. You want a 90% in the course. The final is worth 30% of your grade. The required final score is:
(90 − 82 × 0.70) ÷ 0.30 = (90 − 57.4) ÷ 0.30 = 32.6 ÷ 0.30 = 108.67%
That target is impossible from an 82 with a 30%-weighted final — you cannot score over 100%. You would need either extra credit or a lower target (88% is reachable with a 96 on the final).
How to read the feasibility label
- Already won — you'll hit the target even with a zero on the final.
- Comfortable / Achievable — realistic with normal preparation.
- Stretch — possible but requires a strong performance.
- Very tough — needs near-perfect; unforgiving margin for error.
- Impossible — over 100% is required; revise the target or earn extra credit.
After the final
Once grades are posted, use the grade calculator to verify your final course percentage matches what your gradebook shows. Then plug the letter grade into the weighted GPA calculator to update your cumulative GPA, or use the GPA goal calculator to plan next term.