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Two-Quarter & Final Exam Semester Grade

Combine two quarter scores and a final exam using weights totaling 100%, or solve a missing score or weight.

  • Formula & worked example
  • Private in your browser
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Calculator inputs

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How to use this calculator

  1. Enter the known values in the units shown. Results update as you type.
  2. Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
  3. Use the worked example to check the method. Reset restores the starting fields.

Private by default

Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.

Formula and method

Quarter scores of 80% and 90%, each weighted 40%, plus a 70% final exam weighted 20%, give an 82% semester grade.

Semester grade = (quarter 1 × weight 1 + quarter 2 × weight 2 + final exam × final weight) / 100

Worked example

Enter these known values and leave the other values blank.

First-quarter score
80 %
First-quarter weight
40 %
Second-quarter score
90 %
Second-quarter weight
40 %
Final-exam score
70 %
Final-exam weight
20 %
Weighted semester score
82 %

Assumptions and limitations

  • All grades and weights use the 0–100 percentage scale. Enter 80 for 80%, and 40 for a 40% weight.
  • The three weights must total exactly 100%. The calculator can derive a missing weight from the retained 100% total; when entering all three, their sum must be 100%.
  • This models two quarter grades and a final exam. It does not add assignments, extra credit, dropped assessments, attendance rules, grade curves or letter-grade boundaries.
  • A requested inverse score outside 0–100 is rejected. If an assessment has zero weight, changing its score cannot affect the semester grade.

Common questions

Can I find the final exam score needed for a target?

Yes. Supply the quarter scores, all weights and the target semester score, leaving the final score unknown. A target requiring a score outside 0–100 is outside this model.

What does the pie chart show?

It shows assessment weights, not the points earned. A 20% exam weight occupies one fifth of the chart regardless of the exam score.

References

Bookify requires assessment weights to total exactly 100%, while retaining the captured forward and inverse grade equations.

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