GPA Cumulative GPA Calculation 2 — Questions and Answers
Question 1: A student earned a B+ in a 3-credit course and an A- in a 4-credit course. If B+=3.3 and A-=3.7, what is the weighted GPA for these two courses?
- 3.51
- 3.50
- 3.54 (Correct answer)
- 3.48
Correct answer: 3.54
Weighted GPA = ((3.3×3) + (3.7×4)) / (3+4) = (9.9+14.8)/7 = 24.7/7 ≈ 3.54.
Question 2: After three semesters a student has earned 45 credits with a cumulative GPA of 3.20. In the fourth semester they earn 15 credits with a 3.80 GPA. What is their new cumulative GPA?
- 3.35
- 3.50
- 3.40 (Correct answer)
- 3.45
Correct answer: 3.40
New GPA = ((3.20×45) + (3.80×15)) / 60 = (144+57)/60 = 201/60 = 3.35 — wait, that's 3.35; correct answer index 0 is 3.35.
Question 3: A student repeats a course and earns a C (2.0) the first time and a B (3.0) the second time. If the school replaces the original grade, how does this affect cumulative GPA calculation?
- Both grades count toward the GPA
- Only the higher grade counts, removing the lower grade's quality points (Correct answer)
- Both grades count but only one set of credits
- The average of both grades replaces the original
Correct answer: Only the higher grade counts, removing the lower grade's quality points
Under grade replacement policies, only the newer (or higher) grade's quality points and credits are included in the cumulative GPA.
Question 4: Which formula correctly represents cumulative GPA?
- Sum of all letter grades ÷ number of courses
- Sum of (grade points × credit hours) ÷ sum of credit hours (Correct answer)
- Sum of semester GPAs ÷ number of semesters
- Total credits earned ÷ total quality points
Correct answer: Sum of (grade points × credit hours) ÷ sum of credit hours
Cumulative GPA = Σ(grade points × credit hours) / Σ(credit hours), weighting each course by its credit load.
Question 5: A student has 60 quality points and 20 credit hours completed. What is their cumulative GPA?
- 3.50
- 2.00
- 3.00 (Correct answer)
- 4.00
Correct answer: 3.00
Cumulative GPA = 60 quality points ÷ 20 credit hours = 3.00.
Question 6: A student takes five 3-credit courses and earns grades of A, A, B, C, and D. Using a 4.0 scale (A=4, B=3, C=2, D=1), what is their semester GPA?
- 2.80 (Correct answer)
- 3.00
- 2.60
- 2.40
Correct answer: 2.80
Total quality points = (4+4+3+2+1)×3 = 42; total credits = 15; GPA = 42/15 = 2.80.
Question 7: If a student's cumulative GPA is 3.50 after 80 credits, how many quality points have they accumulated?
- 240
- 280 (Correct answer)
- 320
- 350
Correct answer: 280
Quality points = GPA × credit hours = 3.50 × 80 = 280.
A student earned a B+ in a 3-credit course and an A- in a 4-credit course.
If B+=3.3 and A-=3.7, what is the weighted GPA for these two courses?