Grades
What grade do I need on my final exam?
One formula, and an honest account of when the number it gives you is out of reach.
There is one formula, and it takes about ten seconds once you have three numbers: your current grade, the weight of the final, and the grade you want overall.
needed = ( target − current × (1 − w) ) ÷ w
where w is the final's weight as a decimal — 30% is 0.30
Worked through
You have 78% going into the final. The final is worth 30% of the module. You want 80% overall.
needed = ( 80 − 78 × 0.70 ) ÷ 0.30
needed = ( 80 − 54.6 ) ÷ 0.30
needed = 25.4 ÷ 0.30 = 84.7%
So you need roughly 85% on the final to finish on 80% overall.
Notice how much leverage the weight carries. On the same numbers with a final worth 50%, you would need only 82%. With a final worth 15%, you would need 91.3% — because there is less room left to move the average.
A heavily weighted final is not automatically bad news. It cuts both ways: it can rescue a poor term as easily as it can sink a good one. It is a low-weighted final, late in a term that went badly, that leaves you with nothing to work with.
When the answer is impossible
The formula will happily return 112%. That is real information, not an error.
If the number comes back above 100, the grade you were aiming for is arithmetically out of reach, no matter how well you do. It is far better to know that a fortnight before the exam than to find out afterwards.
What to do with it:
- Recalculate for the next grade down. The boundary you can still reach is the one worth working towards.
- Check for anything that changes the arithmetic. A dropped-lowest-score policy, an optional resit, extra credit, a coursework mark not yet returned.
- Check whether the final has its own pass requirement. Some modules require a minimum on the exam regardless of the overall average, which the formula above does not know about.
The reverse is worth checking too. If the number comes back at 31%, you have already secured the grade you were worried about, and your revision time is better spent on the module where it is genuinely in play.
Weighted categories, not a single final
Most modules are not one final and one running average. They are categories with their own weights:
| Component | Weight | Your score |
|---|---|---|
| Coursework | 40% | 82% |
| Mid-term | 20% | 74% |
| Participation | 10% | 95% |
| Final exam | 30% | ? |
Multiply each score by its weight and add them up:
(82 × 0.40) + (74 × 0.20) + (95 × 0.10) = 32.8 + 14.8 + 9.5 = 57.1 points
For 80% overall, the final must supply80 − 57.1 = 22.9 points, from a component worth 30
22.9 ÷ 0.30 = 76.3%
Which is a good deal more encouraging than the first example, and shows why it is worth doing this with your real category weights rather than a single “current grade” figure.
Three things that quietly change the answer
Rounding. A module that rounds to the nearest whole percent means 79.5 becomes 80. A module that truncates means 79.9 is still 79. Over a boundary, that is a grade.
Dropped scores. “Lowest quiz dropped” changes the denominator, not just the numerator, and usually helps you more than expected.
Curving. If your marks are curved to a distribution, none of this arithmetic is final until the curve is applied. Ask before you plan around a target.
Why the running total on Canvas or Moodle disagrees
Before trusting the “current grade” your virtual learning environment shows you, check what it is actually averaging. Two defaults cause most of the confusion, and they pull in opposite directions.
Ungraded work is usually ignored, not counted as zero. A running total of 78% five weeks in might be the average of two quizzes worth 8% of the module between them. It is arithmetically correct and almost meaningless as a predictor, because the categories that carry the weight have not been marked yet.
Or it is counted as zero, and the number is terrifying for no reason. Some configurations treat everything unsubmitted as a nil score, so a student who is entirely on track sees 34% in October.
Either way, the figure to feed into the formula is the one you calculate yourself from the components that have actually been marked, using the category weights in the module handbook rather than the platform’s own totals. The worked example further down does exactly that, and it is the reason it gives a more encouraging answer than the single running average.
What if you only need to pass?
Most people run this formula aiming at a grade they want. It is worth running it once more aiming at the grade you cannot afford to miss, because the two answers often lead to very different revision plans.
Substitute your pass mark for the target. In the UK an undergraduate module usually passes at 40%; in the US the equivalent floor is typically a D at 60% or a C at 70% where a course must be passed at C or better to count towards a major. On the worked example above — 78% going in, a final worth 30% — passing at 40 needs:
needed = ( 40 − 78 × 0.70 ) ÷ 0.30
needed = ( 40 − 54.6 ) ÷ 0.30 = −48.7%
A negative number means the module is already passed whatever happens in the exam. That is worth knowing, and it is the single most useful output of this formula in a week when you have four exams and have to decide where the hours go. A module you cannot fail and a module you cannot pass both deserve less of your time than the one sitting on a boundary.
Resits, and the cap nobody mentions
If the number comes back above 100, a resit is usually the next question. Two things about them are worth knowing before you plan around one.
The mark is normally capped. At most UK universities a first-attempt failure that is retrieved at resit is recorded at the bare pass mark — 40% for an undergraduate module — regardless of what you actually score. You are buying the credit, not the grade. That changes the calculation for anything that feeds a final classification, because a capped 40 pulls a weighted average down hard.
Capping is usually waived for mitigating circumstances. If something genuine affected the first attempt and it was reported through the proper process, the resit is often treated as a first sit and uncapped. The deadline for reporting it is normally days, not weeks, and almost always before results are published rather than after.
Neither of these is in the formula, and neither is guessable from your module handbook’s grade table. They live in the assessment regulations, and they are the difference between a resit that rescues a year and one that merely rescues the credit.
Do it without the arithmetic
Our final grade calculator does this for every letter grade at once, so instead of one answer you get the full picture — what you need for an A, a B, a C — and it tells you plainly when a target has become unreachable rather than returning a number above 100 and leaving you to interpret it.
If you are working out where a module leaves your overall average, the GPA calculator handles credit weighting and shows the quality points per course, so you can see which modules are actually moving your average and which are noise.