Paper/Pencil Problems

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GenePeer
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Re: Paper/Pencil Problems

Post by GenePeer »

Problem 202 (View Problem) - Great problem!
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Slaunger
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Re: Paper/Pencil Problems

Post by Slaunger »

Problem 142 was solved by Rolle in 1682, and later by Euler as well.
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Slaunger
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Re: Paper/Pencil Problems

Post by Slaunger »

Problem 218 (View Problem) is doable by pen and paper as also noted by several in the problem thread.
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miracle173
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Re: Paper/Pencil Problems

Post by miracle173 »

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.
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phsr
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Re: Paper/Pencil Problems

Post by phsr »

Problem 436 certainly qualifies!
MuthuVeerappanR
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Re: Paper/Pencil Problems

Post by MuthuVeerappanR »

If you consider using Wolfram Alpha as part of Paper/Pencil, then I would include Problem 444 (View Problem).
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elishamod
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Re: Paper/Pencil Problems

Post by elishamod »

Problem 286 (View Problem) - Scoring probabilities.
If you don't mind doing lots of lots of non-integer 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 :D
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Mohammad_Ali_B
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Re: Paper/Pencil Problems

Post by Mohammad_Ali_B »

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.
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nicolas.patrois
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Re: Paper/Pencil Problems

Post by nicolas.patrois »

I wrote the answer when I read the problem: I already knew the solution.
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xloxk
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Re: Paper/Pencil Problems

Post by xloxk »

Problem 106 is possible with pencil and paper. It can be interpreted as a combinatorial problem.
sefi_roee
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Re: Paper/Pencil Problems

Post by sefi_roee »

Again, If you consider using Wolfram Alpha as part of Paper/Pencil, then I would include Problem 235 (View Problem).
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GenePeer
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Re: Paper/Pencil Problems

Post by GenePeer »

Problem 209 (View Problem) I'd taken a long hiatus from PE. Good to be back.

stijn263 wrote: Fri Feb 04, 2011 10:24 am Problem 208 (View Problem) too :D (although I needed a little help from excel ;))
Fun problem! The paper/pencil solution posted on the solution thread is brilliant. I did however find the group presentation :)
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Circling
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Re: Paper/Pencil Problems

Post by Circling »

The general version of Problem 599 (i. e. how many different cubes there are for n colors) can be simplified to a pretty short expression.
Problem 84 sux!!!
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Circling
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Re: Paper/Pencil Problems

Post by Circling »

I did Problem 312 with a combination of paper/pencil to store some numbers and calculator for some big calculations that can be done by WolframAlpha. So you can simplify it to a single expression, although that would be pretty long and ugly.
Problem 84 sux!!!
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