Paper/Pencil Problems
Re: Paper/Pencil Problems
Problem 202 (View Problem)  Great problem!
Re: Paper/Pencil Problems
Problem 142 was solved by Rolle in 1682, and later by Euler as well.
Re: Paper/Pencil Problems
Problem 218 (View Problem) is doable by pen and paper as also noted by several in the problem thread.

 Posts: 4
 Joined: Sat Sep 06, 2014 8:24 am
Re: Paper/Pencil Problems
I solved problem 27 in my head. Actually I did not prove that the polynomial I found is optimal but I entered my solution and it was accepted. I published the solution way int the thread of problem 27.
Re: Paper/Pencil Problems
Problem 436 certainly qualifies!

 Posts: 392
 Joined: Sun Mar 22, 2015 2:30 pm
 Location: India
 Contact:
Re: Paper/Pencil Problems
If you consider using Wolfram Alpha as part of Paper/Pencil, then I would include Problem 444 (View Problem).
It is not knowledge, but the act of learning, not possession but the act of getting there, which grants the greatest enjoyment.
Re: Paper/Pencil Problems
Problem 286 (View Problem)  Scoring probabilities.
If you don't mind doing lots of lots of noninteger multiplications.
A calculator is actually not accurate enough for this problem, as the answer demands at least 12 significant digits.
So if you don't use a computer, you will have to do it by hand
If you don't mind doing lots of lots of noninteger multiplications.
A calculator is actually not accurate enough for this problem, as the answer demands at least 12 significant digits.
So if you don't use a computer, you will have to do it by hand

 Posts: 3
 Joined: Mon Jan 12, 2015 11:25 pm
Re: Paper/Pencil Problems
Problem 52 can be solved without a computer, or even paper and pencil.
I remember just writing in the answer after one of my lectures at Uni.
I remember just writing in the answer after one of my lectures at Uni.
 nicolas.patrois
 Posts: 117
 Joined: Fri Jul 26, 2013 3:54 pm
 Contact:
Re: Paper/Pencil Problems
I wrote the answer when I read the problem: I already knew the solution.
Re: Paper/Pencil Problems
Problem 106 is possible with pencil and paper. It can be interpreted as a combinatorial problem.
Re: Paper/Pencil Problems
Again, If you consider using Wolfram Alpha as part of Paper/Pencil, then I would include Problem 235 (View Problem).
Re: Paper/Pencil Problems
Problem 209 (View Problem) I'd taken a long hiatus from PE. Good to be back.
Fun problem! The paper/pencil solution posted on the solution thread is brilliant. I did however find the group presentationstijn263 wrote: ↑Fri Feb 04, 2011 10:24 amProblem 208 (View Problem) too (although I needed a little help from excel )