All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers
The Highest Grade (Posted on 2003-12-11) Difficulty: 3 of 5
I had someone tell me, after seeing what grade they got on several quizzes, that he got the highest grade (after rounding to the nearest percent) for that letter, for all 5 quizzes. Each quiz he took, he got a different letter grade on it.

When the grades are calculated for these quizzes, it is the number of questions you got right divided by the number of questions total on the quiz. Then the score is taken as a percent (the decimal is multiplied by 100) and then rounded to the nearest percent (.5 and above rounds up, below .5 rounds down)

The grading scale works so that:

100-90 A
89-80 B
79-70 C
69-60 D
0-59 F

What are the fewest number of questions possible on each quiz?

For example, if someone got 6 questions right out of 7 questions total, it would be 6/7 or about 85.7%, which rounds to 86, which isn't the highest B possible, (86 is not equal to 89) Since no number over 7 can be in the 88.5 up to 89.5 range, there couldn't have been exactly 7 questions on the quiz. There also couldn't have been 8 questions on the B quiz. 7/8 or 88 percent isn't the highest B possible; it's too low, and 8/8 or 100 percent is too high.

No Solution Yet Submitted by Gamer    
Rating: 3.4000 (5 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts If all tests have the same unequally weighted questions | Comment 12 of 15 |
Yes, I know that this is not the question.  But I note that if all questions are not equal, then 4 questions will suffice, if the questions are worth 10, 11, 20 and 59 points respectively.

F = 59 
D = 59 + 10
C = 59 + 20
B = 59 + 20 + 10
A = 59 + 20 + 11 + 10



  Posted by Steve Herman on 2014-01-21 16:17:55
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (7)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information