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Problem Writing Party February 1st - 14th

Hello Brilliant!

Last month's Problem Writing Party was a huge success! So many of you made a contribution one way or another that I couldn't possibly list everyone here. Because of your submissions, we were able to launch not just two new quizzes, but five new quizzes. Here are the quizzes that you all helped create:

New Brilliant Challenge Quizzes
General Polygons: Level 2-3
Number Bases: Level 2
Number Bases: Level 3
Momentum: Level 1-2
Expected Value: Level 2-3

We want to showcase the hard work these members of the community put in over the last week, so Brilliant will featuring these quizzes in the community Featured feed, on Facebook, and in our email campaigns over the next week. With that said, let's kick off the 2nd Problem Writing Party!

How it Works

The party starts right now (February 1st, 2016) and will last for the next two weeks. Throughout the two weeks, we will be focusing on writing awesome problems for the topics listed below. To participate, submit as many problems as you want to these listed topics. At the end of the party, Brilliant staff will be picking the best 5-10 problems for each topic. These problems will then be immortalized and formed into a challenge quiz. If we pick your problem, then you can brag to your friends because it will be displayed on Brilliant forever!

Use this note to

  1. Ask questions about the party or brainstorming ideas from Brilliant staff.

  2. Share links to great relevant problems.

  3. Bounce your ideas off each other to help formulate the best problem you can.

To be selected, problems you submit should be fun and challenging to a student in the levels listed for the given topic.

This Party's Topic Listing

The topics of problem submission for this party are below. Just click the topic you want to contribute to.

Geometry - Volume: Level 1-2
Comparing shapes, rearranging 3D figures, playing with volume formulae. Pictures preferred.

Number Theory - Quadratic Residues: Level 3-4
Legendre Symbol, Law of Quadratic Reciprocity, Problem solving, etc.

Combinatorics - Data Presentation: Level 1-2
Data plots, graphs, charts, and misrepresented data.

Classical Mechanics - Conservation of Energy: Level 2-4
Problems that rely on conserving energy from one state to another.

We didn't receive enough problems in these categories last party, so we're asking for your contributions in them again and we've loosened the constraints so that more submissions come in.

Algebra - Rational Functions: Level 1-3

Calculus - Limits of Sequences: Level 1 and Limits of Functions: Level 1

Computer Science - Complexity/Runtime Analysis: All levels

Happy writing and party on!

Note by Andrew Ellinor
7 months, 3 weeks ago

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Here are my questions about Geometry-Volume:

Bar, Ball, Cone

Who wants a scoop?

Pyramid VS Pyramid

5 Pyramids in 1 Cube

Hope you enjoy them! ;) Worranat Pakornrat · 7 months, 3 weeks ago

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@Worranat Pakornrat I like your last two problems Rishabh Sood · 7 months, 3 weeks ago

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@Rishabh Sood Thank you. Hope more will come. ;) Worranat Pakornrat · 7 months, 3 weeks ago

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@Worranat Pakornrat Yo got that for sure bro! Rishabh Sood · 7 months, 3 weeks ago

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Can I invite my friend @John Michael Gogola ? He wants to join. Brian Dela Torre · 7 months, 3 weeks ago

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@Brian Dela Torre Absolutely! Andrew Ellinor · 7 months, 3 weeks ago

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@Brian Dela Torre Why not Lakshya Sinha · 7 months, 3 weeks ago

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@Lakshya Sinha Thanks :) John Michael Gogola · 7 months, 3 weeks ago

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Check out my problems :
Geometry : Volume Comparison
Classical Mechanics : Mass- Spring System
Number Theory : No Residue Anish Harsha · 7 months, 3 weeks ago

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@Anish Harsha Looking good, Anish! I think we might pick a few of your problems again. Andrew Ellinor · 7 months, 3 weeks ago

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@Andrew Ellinor Thanks, sir ! Anish Harsha · 7 months, 3 weeks ago

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Andrew Ellinor
Bandrew Melinor Rajdeep Dhingra · 7 months, 2 weeks ago

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@Rajdeep Dhingra Haha , nice! :P Nihar Mahajan · 7 months, 2 weeks ago

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@Nihar Mahajan Inspired by You Rajdeep Dhingra · 7 months, 2 weeks ago

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Conservation Of Energy Rajdeep Dhingra · 7 months, 2 weeks ago

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More calculus problems for the limits category:

Hobart Pao · 7 months, 3 weeks ago

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@Hobart Pao I like the title for the second one! haha but out of those three, I especially enjoyed "Almost pizza." It might be kind of difficult for level 1, but oh well... Jonas Katona · 7 months, 2 weeks ago

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A new one on Geometry-Volume again: Crystal Clear. Worranat Pakornrat · 7 months, 2 weeks ago

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This is my new question about Geometry-Volume: Crystal in a Cube

Enjoy! ;) Worranat Pakornrat · 7 months, 2 weeks ago

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@Andrew Ellinor

I just want to ask, why geometry only volume.

I got some difficult geometry but it's 2D

Why must 3D, you said you didn't receive enough problem Jason Chrysoprase · 7 months, 2 weeks ago

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I am submitting this set of problems for the party :)

My Problems Pranshu Gaba · 7 months, 2 weeks ago

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I have just posted my very first calculus problem: Where does it go? It is an easy but great concept for the beginners (like me). Margaret Zheng · 7 months, 2 weeks ago

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I've got another problem: Rational? Real! for rational functions -algebra. Hope you enjoy! Margaret Zheng · 7 months, 2 weeks ago

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@Margaret Zheng I like it! Definitely a fun problem. We'll probably put it into rational numbers though. Rational functions on the other hand are a polynomial divided by a polynomial, such as

\[\frac{1}{2x^2 - 5x - 3}, \frac{x^3 - 7x + 6}{x^3 + 6x^2 + 11x + 6}, \frac{3x + 6}{x^2 - 1}\]

Fun, right? We'll find a home for this one somewhere. I definitely like Milky and Tricky! Andrew Ellinor · 7 months, 2 weeks ago

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Here is my problem MOMENTUM Akshay Sharma · 7 months, 2 weeks ago

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@Akshay Sharma Indeed, Rajdeep is correct. The momentum quiz has already been made. But we can possibly find another home for it! Andrew Ellinor · 7 months, 2 weeks ago

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@Akshay Sharma The Momentum Challenge Quiz has already been made. Rajdeep Dhingra · 7 months, 2 weeks ago

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Another rational function problem--true story. I think it's easy enough for level 1.

Gym grades for second term seniors Hobart Pao · 7 months, 2 weeks ago

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My fourth problem.

Cubes And Cuboids Lee Care Gene · 7 months, 2 weeks ago

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This is the question about Calculus-Limits of Functions: Line, Point, Curve.

Probably too easy, but it's level 1, which we needed. So let's give it a try! ;) Worranat Pakornrat · 7 months, 2 weeks ago

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@Worranat Pakornrat Perfect! We need level 1 problems like this. Thanks Dr. Warm. Andrew Ellinor · 7 months, 2 weeks ago

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@Andrew Ellinor You're very welcome, Andrew. ;) Worranat Pakornrat · 7 months, 2 weeks ago

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Here are two problems for limits of functions:

How to fix two singularities

Even and odd

(I deleted my laser beam problem. Plus, it kept getting marked as "geometry," even though I assure you that NO geometry is needed to solve it. Oh well; it is kind of messy.) Jonas Katona · 7 months, 2 weeks ago

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@Jonas Katona Fun problems! I think one of this will land in a new challenge quiz. ;) Andrew Ellinor · 7 months, 2 weeks ago

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@Andrew Ellinor Thank you! That would be great. :) Here's another limits one that I came up with. It requires just a little more tact: 4, 3, 2, 1, Earth below us Jonas Katona · 7 months, 2 weeks ago

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@Jonas Katona That's explain why I can't see ur post anymore Jason Chrysoprase · 7 months, 2 weeks ago

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@Jason Chrysoprase Yes; I deleted it. That's maybe why you had trouble with it as well. Try it out now, if you'd like (and my other problems as well :D).

I really liked your problem, btw. I feel like it should be on a quiz. Jonas Katona · 7 months, 2 weeks ago

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Why doesn't any one come up with any Computer Science questions.!? :P Zeeshan Ali · 7 months, 2 weeks ago

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@Zeeshan Ali I think because its not known to many people

eg: me Nihar Mahajan · 7 months, 2 weeks ago

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@Nihar Mahajan Same here, idk what is computer science Jason Chrysoprase · 7 months, 2 weeks ago

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@Zeeshan Ali I think because the others is more interesting that Computer Science Jason Chrysoprase · 7 months, 2 weeks ago

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@Jason Chrysoprase Well.... I don't think so... there are so many hidden genius people with a brilliant mind of computer science (like me of course :) ) here on brilliant.org :P they just need to come up with some new ideas ..! Zeeshan Ali · 7 months, 2 weeks ago

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This is my new one for Combinatorics-Data Presentation: Roses are red. Violets are blue..

I hope it's not too easy. ;) Worranat Pakornrat · 7 months, 2 weeks ago

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@Worranat Pakornrat God made me pretty , what happened to you? ;) A good problem! Nihar Mahajan · 7 months, 2 weeks ago

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@Nihar Mahajan Thanks. Did you solve it yet? Worranat Pakornrat · 7 months, 2 weeks ago

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My second problem, RATIONAL FUNCTION

Too Hard? Jason Chrysoprase · 7 months, 2 weeks ago

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@Jason Chrysoprase I like it Jason! This is more Functional Equations. Rational functions deal specifically with a polynomial in the numerator and a polynomial in the denominator, so keep at it. Andrew Ellinor · 7 months, 2 weeks ago

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@Andrew Ellinor Thx my Friend Jason Chrysoprase · 7 months, 2 weeks ago

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Comment deleted 7 months ago

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@Jonas Katona Great problem, I like it Jason Chrysoprase · 7 months, 2 weeks ago

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@Jason Chrysoprase Thank you! I hope that it's not too difficult for level 2 or 3. Jonas Katona · 7 months, 2 weeks ago

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@Jonas Katona ok I gave up with your problem

it's a little difficult to a level 2 Jason Chrysoprase · 7 months, 2 weeks ago

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@Jason Chrysoprase Yes, it might be a level 3, but it's definitely not a level 4 problem. What's giving you trouble? Jonas Katona · 7 months, 2 weeks ago

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@Jonas Katona It's a level 3 problem right now but it might go up to level 4. It's computationally cumbersome. Andrew Ellinor · 7 months, 2 weeks ago

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@Jonas Katona i'm not good at calculus, I need to find Rational Function that not using calculus, but using algebra

i'm going to post my algebra rational function

( I fail with your problem ) Jason Chrysoprase · 7 months, 2 weeks ago

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@Jason Chrysoprase It's ok, don't worry. I will try out your problem when you post it! Jonas Katona · 7 months, 2 weeks ago

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@Jonas Katona i'm still level 2 function Jason Chrysoprase · 7 months, 2 weeks ago

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@Jason Chrysoprase did you solve it? Your name has not appeared yet under solvers. I'm sure you could, since all one needs is Pre-Calculus knowledge to solve it Jonas Katona · 7 months, 2 weeks ago

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@Jonas Katona i'm not a pro calculus Jason Chrysoprase · 7 months, 2 weeks ago

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@Jason Chrysoprase Well, the only calculus knowledge you'll need to know is the first derivative test. I learned that in my Pre-Calculus class two years ago. Jonas Katona · 7 months, 2 weeks ago

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@Jonas Katona i'm a level 1 calculus ( I have never learned calculus before ) Jason Chrysoprase · 7 months, 2 weeks ago

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@Jonas Katona i even haven't master sin and cosinus Jason Chrysoprase · 7 months, 2 weeks ago

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@Jason Chrysoprase don't worry, it's difficult to learn calculus on your own Jonas Katona · 7 months, 2 weeks ago

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@Jonas Katona Anyway, check my Rational Function problem !!!

No calculus need, but algebra does

Too Hard ? Jason Chrysoprase · 7 months, 2 weeks ago

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@Jason Chrysoprase Nice problem. Harsh Shrivastava · 7 months, 2 weeks ago

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@Harsh Shrivastava thx mate Jason Chrysoprase · 7 months, 2 weeks ago

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My third problem.

Cube In A Cube Lee Care Gene · 7 months, 2 weeks ago

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Here's a new one on Calculus-Limits of Functions: 1, 2, 3 Again. Worranat Pakornrat · 7 months, 2 weeks ago

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Here are my new problems about Algebra-Rational functions:

1, 2, 3, Go!

So close yet so far

Have fun! ;) Worranat Pakornrat · 7 months, 3 weeks ago

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Geometry- Volume : Thick Trick Brian Dela Torre · 7 months, 3 weeks ago

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I have worked out some problems regarding Complexity/Runtime Analysis, here are they:

I will try to provide problems related to other topics later, Insha.Allah.. Zeeshan Ali · 7 months, 3 weeks ago

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@Zeeshan Ali These are PERFECT! Thanks Zeeshan. Andrew Ellinor · 7 months, 3 weeks ago

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@Andrew Ellinor Bingo! Here comes another one ... Zeeshan Ali · 7 months, 3 weeks ago

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@Andrew Ellinor You are welcome :) Zeeshan Ali · 7 months, 3 weeks ago

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My second question here.

Cut Cube Lee Care Gene · 7 months, 3 weeks ago

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@Lee Care Gene Excellent! We're featuring your other problem on Facebook soon :) Andrew Ellinor · 7 months, 3 weeks ago

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I just posted a Geometry-Volume problem the "Un-Uniform Sphere". It's maybe a 3 but not a 1! W Rose · 7 months, 3 weeks ago

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@W Rose Thanks @W Rose! I'll have a look at it and see if I can find it a home.

Also, you can post links to your problems using the following format
[Un-Uniform Sphere](https://brilliant.org/problems/un-uniform-sphere/)

Like this: Un-Uniform Sphere Andrew Ellinor · 7 months, 3 weeks ago

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Here is another geometry/volume problem. Perhaps too hard for level 2, but I'll post it anyway:

Cube & Sphere, Sphere & Cube Arjen Vreugdenhil · 7 months, 3 weeks ago

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@Arjen Vreugdenhil Oh I think we can find a home for this problem. Your big, bad, binary was hard for the level 3 challenge quiz but we put it in anyway ;)

Thanks Arjen! These are great. Andrew Ellinor · 7 months, 3 weeks ago

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My problems on Volume:-

Hollow Cone

How much time to fill?

Will try to add more questions. Vignesh Rao · 7 months, 3 weeks ago

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@Vignesh Rao Beautiful. Thanks, Vighnesh. We might have to make a level 1 and a level 2 challenge quiz for Volume to fit all these questions in. Andrew Ellinor · 7 months, 3 weeks ago

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@Andrew Ellinor Another problem on Volume by me: Open Box Volume Vignesh Rao · 7 months, 3 weeks ago

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Check my simple , learning and conceptual problems of conservation of energy.

My Set Energy Tranfers . Yash Dev Lamba · 7 months, 3 weeks ago

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@Yash Dev Lamba Ohhhh yeah. Some of these will do just fine in the energy quiz. Perfect, Yash. Andrew Ellinor · 7 months, 3 weeks ago

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Easier than a pentakill John Michael Gogola · 7 months, 3 weeks ago

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@John Michael Gogola Looks great John! I'm not quite sure which of the chapters it will fit in (out of the chapters listed in the note above), but this might be good for a Euler's Theorem quiz later down the road. Andrew Ellinor · 7 months, 3 weeks ago

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I just wrote a funny and easy problem for Geometry- volume: Milky & Tricky Is this good? Margaret Zheng · 7 months, 3 weeks ago

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@Margaret Zheng I love it Jason Chrysoprase · 7 months, 3 weeks ago

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@Jason Chrysoprase Thanks! Margaret Zheng · 7 months, 2 weeks ago

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@Margaret Zheng Tricky is right! I like it. This might be our hard level 2 problem. We have so many volume questions pouring in, so this is great! Andrew Ellinor · 7 months, 3 weeks ago

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@Andrew Ellinor Thanks and I will work hard! Margaret Zheng · 7 months, 3 weeks ago

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Here's my questions about Party's Topic Listing

Geometry- Volume : Archimedes Formula

Geometry- Volume : Thick Trick

Algebra- Rational Function : Rational Function

I will add some more. Brian Dela Torre · 7 months, 3 weeks ago

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@Brian Dela Torre Hey Brian. In order to get your problem to show up as a link, use the formatting [Archimedes Formula](https://brilliant.org/problems/archimedes-formula/), you can achieve a link like this:

Archimedes Formula Andrew Ellinor · 7 months, 3 weeks ago

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@Andrew Ellinor Thanks for the info Sir Andrew. Brian Dela Torre · 7 months, 3 weeks ago

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Calculus - Limits Sahil Bansal · 7 months, 3 weeks ago

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@Sahil Bansal Thanks Sahil! Funny how people can get away without even noticing the floor :P Andrew Ellinor · 7 months, 3 weeks ago

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My first problem in this party.

Curious Cuboid Lee Care Gene · 7 months, 3 weeks ago

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@Lee Care Gene Haha, what a perfect answer too! Andrew Ellinor · 7 months, 3 weeks ago

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Check my geometry problem

Math Before Eat Jason Chrysoprase · 7 months, 3 weeks ago

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@Jason Chrysoprase Beautiful image. Looks like a prime candidate for a challenge quiz. ;) Andrew Ellinor · 7 months, 3 weeks ago

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Here are mine:

Geometry: Divine Conedy

Classical Mechanics: Bob Goes Faster Arjen Vreugdenhil · 7 months, 3 weeks ago

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Here is a rational functions problem I just submitted.

Zeroing Out Denton Young · 7 months, 3 weeks ago

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@Denton Young Appreciated Denton! We were severely lacking in the rational functions category, so your contribution is greatly appreciated. Expect to see your problem in a challenge quiz in a week. ;) Andrew Ellinor · 7 months, 3 weeks ago

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@Andrew Ellinor And here it is:

Zeroing Out, part 2 Denton Young · 7 months, 3 weeks ago

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@Andrew Ellinor Awesome! I'll go create another one in the same category, then. Denton Young · 7 months, 3 weeks ago

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This is what I have so far--there may be more coming.

Calculus--limits of fxns:

Algebra--rat'l fxns:

Hobart Pao · 7 months, 3 weeks ago

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@Hobart Pao "Too much calculus may put you in the L'Hopital" is the funniest title I've read in a long, long time. Too bad challenge quizzes don't show the title! :P Andrew Ellinor · 7 months, 3 weeks ago

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Computer Science: Do you know your sorting? Agnishom Chattopadhyay · 7 months, 3 weeks ago

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@Andrew Ellinor I'm not sure if my problem Confusing Collisions satisfies the above criteria of level 2-4 because it's a very challenging problem, but still I hope there's no harm in submitting. Ishan Dasgupta Samarendra · 7 months, 3 weeks ago

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@Ishan Dasgupta Samarendra There's definitely no harm in submitting! Submit as many problems as you would like. This one looks challenging :) Andrew Ellinor · 7 months, 3 weeks ago

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@Ishan Dasgupta Samarendra Nice prob Lakshya Sinha · 7 months, 3 weeks ago

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Volume - Problem 1 No submission due to practicals. Sachin Vishwakarma · 7 months, 3 weeks ago

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Can anyone tell me , if I increase a number(say x) by 9 times, the resultant would be 9x or 10x????? Ayush Pattnayak · 7 months, 2 weeks ago

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