Question

lets say my grade is 86%.. Now, how many points would i need in order to raise it to an 89 or 90%? The test i want to correct has 12/16 points, or 75% of the test. my Final test is worth 25%. If i do corrections on the test with 75%, and i correct all the answers (correcting an answer only gives 1/2 of a point, so 0.5) AND i get all answers correct on that final test, what would my grade be?

what would my grade be if i got all test corrections RIGHT but i DIDN'T do final test yet?

Answer 1

Short answers up front:
- If you correct all 4 wrong answers on the 12/16 test you gain 2 points → test becomes 14/16 = 87.5% (was 75%).
- If your current overall is 86% (with the final still worth 25%) and you get 100% on the final but make no corrections, your course final = 0.75·86 + 0.25·100 = 89.5%.
- If you both make all corrections (test → 87.5%) and get 100% on the final, the course final depends on how much that 12/16 test is worth of the total course. See formulas and examples below.

Details and formula (so you can plug in the test weight):
- Test old = 12/16 = 75%. Test corrected = 14/16 = 87.5%. Delta on that test = 12.5 percentage points.
- Let t = the weight of that test as a percent of the TOTAL course grade (for example t = 10 means the test is worth 10% of the course). Let w_final = 25% (given).
- If your reported 86% already includes the 75%-worth of coursework done so far, then:
- New current course grade after corrections (before final) = 86 + (12.5)*(t/100) (adds the test’s change × its weight).
- Final course grade if you get F% on the final = (1 - w_final) * [new current grade] + w_final * F
= 0.75 * [86 + 12.5*(t/100)] + 0.25 * F.

Examples (useful common t values)
- If the test is worth 10% of the course (t = 10):
- After corrections (before final): 86 + 12.5*0.10 = 87.25%.
- If you then get 100% on the final: final course = 0.75*87.25 + 0.25*100 = 90.44% (≈ 90.4%).
- If the test is worth 5% (t = 5):
- After corrections: 86 + 12.5*0.05 = 86.625%.
- With 100 on final: 0.75*86.625 + 25 = 89.97% (≈ 90.0).
- If the test is worth 15% (t = 15):
- After corrections: 86 + 12.5*0.15 = 87.875%.
- With 100 on final: 0.75*87.875 + 25 = 90.91%.

How many points do you need on the final to reach 89 or 90?
- If you do no corrections (current = 86): required final score F solves 0.75*86 + 0.25*F = T.
- For T = 89 → F = 98%
- For T = 90 → F = 102% (impossible)
- If you do the corrections and the test weight is t (so new current = 86 + 12.5*(t/100)), required F = (T - 0.75*(86 + 12.5*(t/100))) / 0.25. (Plug in t to get the required final score.)

If you want exact answers for your situation, tell me:
1) Is the 86% your current course grade excluding the final? (I assumed yes above.)
2) How much of the total course grade is that 12/16 test worth (t%)?

With those two values I’ll give the exact numbers for (a) your grade after corrections (before the final) and (b) your final course grade if you get 100% on the final (and also the exact final needed to hit 89 or 90).