Final Grade Calculator

How to use the final grade calculator

You need three numbers, and all of them should be in your gradebook or syllabus:

1. Current grade: your overall percentage in the course right now, before the final. If you only have separate marks for each category, first work out your current course grade from your scores and their weights. If every score counts equally, you can just average your scores instead.
2. Final exam weight: the share of the course grade the final is worth, usually listed in the syllabus. If the final has several parts, such as a written paper worth 20% and a practical worth 10%, add them together and enter 30%.
3. Desired course grade: the overall percentage you want to finish with. Use the boundary for the letter you are aiming for, such as 90 for an A- on a common US scale, or your course's pass mark.

The result updates as you type. Alongside the score needed on the final, you also see the course grade you would finish with if you scored 100% or 0%, which shows how much is still in play.

This works when the final is the only thing left to grade. If you also have homework, quizzes or a project still to come, a weighted grade calculator that handles several remaining categories gives a more accurate picture.

If your course has special rules

• The final replaces your lowest exam. If a better final score overwrites a weaker midterm, take that midterm out of your current grade and add its weight to the final's. A final worth 30% that can replace a 20% midterm effectively counts for 50%.
• A minimum score on the final. Some courses require, say, 50% on the final to pass, whatever your average. If the calculator says you need less than that, the course minimum is your real target.
• Several finals in one week. Run the numbers for each course. Put extra time into the courses where the score needed is furthest above what you usually get, and where the course carries more credits.

Final exam grade formula with a worked example

Your course grade is a weighted mix of the work you have already done and the final. With the final's weight written as a decimal (w), the formula is:

Course grade = current × (1 − w) + final × w

Rearranging it for the final gives the formula this final exam calculator uses:

Needed on final = (target − current × (1 − w)) ÷ w

Worked example

Say your current grade is 88%, the final is worth 25% and you want a 90% in the course. Here w = 0.25.

1. Your work so far counts for the other 75%: 88 × 0.75 = 66.0 points.
2. To reach 90, the final has to supply the rest: 90 − 66 = 24 points.
3. The final is worth 0.25, so divide: 24 ÷ 0.25 = 96.

You need 96% on the final. Checking it the other way round: 66 + 96 × 0.25 = 66 + 24 = 90.

Here is what the same student needs for other targets:

Each extra point on the course grade costs four points on a final worth 25%, because the final only carries a quarter of the weight. The heavier the final, the less each point costs. If your exam is scored in points rather than percent, multiply at the end: 96% of a 150-point exam is 144 points.

What if the score needed is over 100%

A result above 100% means your target can't be reached on the final alone. Take a current grade of 85%, a final worth 30% and a target of 90%: (90 − 85 × 0.7) ÷ 0.3 = (90 − 59.5) ÷ 0.3 = 101.7%. Since the exam tops out at 100%, the calculator tells you the goal is out of reach and shows the best you can do instead. A perfect final gives 59.5 + 30 = 89.5%, so that is the highest course grade possible.

Before you settle on a new goal, it's worth checking a few things:

• Your inputs. Confirm the final's weight in the syllabus, and make sure your current grade doesn't include ungraded work counted as zero or miss a dropped lowest score.
• Extra credit. If your teacher offers any, ask how it is applied. Points added to the course total can close a small gap that the final can't.
• Rounding. In the example, 89.5% sits just below 90%. Whether that rounds up depends on your school, so ask rather than assume.

If none of that changes the picture, set a target you can reach. For the same student, 87% needs 91.7% on the final, which is demanding but possible. The opposite case also happens: a result of 0% or less means your target is already secured, although some courses also set a minimum score on the final itself.

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