How weighted grades work

Syllabus weights can feel confusing. Here is the formula teachers use — and how to reverse it for your final exam.

The weighted grade formula

If each category i has score Si (as a percent) and weight Wi (as a percent of the course):

Course % = Σ (Si × Wi) ÷ Σ Wi

When weights already add to 100%, this is the same as Σ (Si × Wi / 100).

Worked example

CategoryWeightScoreContribution
Homework20%95%19.00
Quizzes15%88%13.20
Midterm25%82%20.50
Projects15%91%13.65
Final25%—(pending)

Work so far (75% of the course): (19 + 13.2 + 20.5 + 13.65) = 66.35 points out of 75 → current average ≈ 88.47% on completed work.

What do I need on the final?

Let C = current average on weight Wc, Wf = final weight, T = target course %.

Needed on final = (T × (Wc + Wf) − C × Wc) ÷ Wf

Example: current 88.47% over 75%, final worth 25%, target 90%:

Needed = (90 × 100 − 88.47 × 75) ÷ 25 ≈ 94.6% on the final.

Tips

Skip the spreadsheet.

Open GradeCalc Lab →