*This party is now over. Thanks for your contributions. You can see what we chose by joining the next party!*

Greetings Problem Partiers!

Problem Writing Party number four went splendidly! Even though only three community quizzes were made, we are so close to creating a handful of others. With that in mind, we'll be recycling some of the topics from previous problem writing parties. A special thanks to Zeeshan, Jonas, Hobart, Svatejas, Nihar, Toto, Rohith, Deepanshu, Lakshya, ZK, Chung, Anish, Rishabh, Brandon, Margaret, Neelesh, Akhil, Manmeswar, Arjen, Lee, Kerry, Sridhar, Kunal, Hjalmar, Soumava, Worranat, Pranshu, Mehul, and Samarth for all your contributions!

Here are the 3 quizzes that you all helped create:

New Brilliant Challenge Quizzes

We'll be showcasing these quizzes all over social media in the coming weeks because these problems truly are impressive. Okay, announcements over. Let's kick off the fifth Problem Writing Party!

## How it Works

The party starts right now (March 14th, 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 in quizzes that need your help on the **publish** page.

To join, 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! Your problem has a better chance of being selected if you include a graphic (when appropriate) and a solution.

## Use this note to

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

Share links to great relevant problems.

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 levels 1-3 for the given topic.*

## -------->This Party's Topic Listing<--------

The topics of problem submission for this party can be found by navigating over to the Brilliant publish page and checking under the quizzes that need your help section. Just click the contribute button next to the topic you want to make a submission to.

Happy writing and continue to party on!

## Comments

Sort by:

TopNewestMy contribution to this party, Algebra-Functions:

Composition of two invertible functions

Domain of inverse of composition

A function in two variables

Just invert the function – Kazem Sepehrinia · 1 year, 2 months ago

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– Sandeep Bhardwaj · 1 year, 2 months ago

Great problems! I liked third one the most. Thanks :)Log in to reply

– Kazem Sepehrinia · 1 year, 2 months ago

Thank you Sandeep :)Log in to reply

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– Zeeshan Ali · 1 year, 2 months ago

Oh my God!Log in to reply

– Ashish Siva · 1 year, 2 months ago

Thanks: -)Log in to reply

Welcome to my mysterious function problem: The Hidden Function.

Can you work out what \(f(x)\) is? ;) – Worranat Pakornrat · 1 year, 1 month ago

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My entries

Functional equation I

Functional equation II

Functional equation III – Félix De Montemar · 1 year, 1 month ago

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– 展豪 張 · 1 year, 1 month ago

Nice set of questions ;)Log in to reply

Here's some of my function problems:

Function Challenge 2!

Function Challenge 3!

Function Challenge 4 (Inverse functions)

Function Challenge 5 (Function graphs) – Tan Kenneth · 1 year, 1 month ago

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My new problem on Geometry-Coordinate Plane has come: The Tale of Two Trigones.

Can you find the area of the two? ;) – Worranat Pakornrat · 1 year, 2 months ago

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\[ \text{You will enjoy solving these problems, believe me..} \]

Computer Science \( \rightarrow \) Types and Data Structures \( \rightarrow \) Graphs \( \rightarrow \) Can you count edges ?

Computer Science \( \rightarrow \) Types and Data Structures \( \rightarrow \) Graphs \( \rightarrow \) Identify the graph

Computer Science \( \rightarrow \) Types and Data Structures \( \rightarrow \) Graphs \( \rightarrow \) Identify the Adjacency List – Zeeshan Ali · 1 year, 2 months ago

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– Sandeep Bhardwaj · 1 year, 2 months ago

I guess believing you is worth. Thanks for the awesome problems. :)Log in to reply

Algebra \( \rightarrow \) Functions \( \rightarrow \) Domain of 'fog'

Algebra \( \rightarrow \) Functions \( \rightarrow \) Let's get rid of Radicals

Algebra \( \rightarrow \) Functions \( \rightarrow \) Which type of function is it? (I)

Algebra \( \rightarrow \) Functions \( \rightarrow \) Restrictions on Domain

Algebra \( \rightarrow \) Functions \( \rightarrow \) Cute Function – Zeeshan Ali · 1 year, 2 months ago

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– Sandeep Bhardwaj · 1 year, 2 months ago

What a cool set of problems! This is really a wonderful contribution. Thanks! :)Log in to reply

My entries :

Relative SHM...coming soon – Kishore S Shenoy · 1 year, 2 months ago

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– Sandeep Bhardwaj · 1 year, 2 months ago

The "Chain Reaction 1!" and "Chain Reaction 2!" initially gave me a feeling of chemistry. LOL! By the way great problems esp the SHM problems. Thanks! :)Log in to reply

– Kishore S Shenoy · 1 year, 2 months ago

Your welcome! :)Log in to reply

This is my entry for the co-ordinate part - Lets Draw the figure , Circle or Vieta's – Aditya Narayan Sharma · 1 year, 2 months ago

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– Sandeep Bhardwaj · 1 year, 2 months ago

I guess the coordinate part is 3-dimensional coordinate geometry. Anyways, nice problems. Looking for more problems from the topics listed. Thanks! :)Log in to reply

– Aditya Narayan Sharma · 1 year, 2 months ago

Thanks sandeep sir ! I am working on the functionsLog in to reply

Here's my entry for the party.

Topic functions: functions and more functions

Another problem(might be off topic): perfect square in polynomial form – Neelesh Vij · 1 year, 2 months ago

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topic list for this party, note that functions is listed under

Thanks for your submissions Neelesh! They look like a good start, but let me give you some feedback. When you visit thealgebra. So as awesome as it is, the problem you posted for functions requires calculus and might be useful for a later party.As for the second problem you submitted, it doesn't happen to fit any of the topics we listed. :P

Keep it up though! I like both of these problems and had fun solving them. – Andrew Ellinor · 1 year, 2 months ago

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– Prakhar Bindal · 1 year, 2 months ago

I Will Post some cool coordinate and SHM Problems By TomorrowLog in to reply

– Neelesh Vij · 1 year, 2 months ago

sorry for wrong submission! i'll keep it in mind and soon put up some problemsLog in to reply

Two new problems:

Capacitors - Pulling apart a capacitor

Coordinate plane - Oblique Coordinates

Two old problems, updated with improved wording and solutions:

Calculus of Parametric equations - Area, Arc length – Pranshu Gaba · 1 year, 1 month ago

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– Sandeep Bhardwaj · 1 year, 1 month ago

Thanks Pranshu! :)Log in to reply

My latest question on Geometry-Coordinate Plane: Cut Through the Circle.

Hope it's not too late. ;) – Worranat Pakornrat · 1 year, 1 month ago

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– Sandeep Bhardwaj · 1 year, 1 month ago

Great, thanks! And it's not too late ;)Log in to reply

– Worranat Pakornrat · 1 year, 1 month ago

Thanks! Glad to see you again. ;)Log in to reply

– Sandeep Bhardwaj · 1 year, 1 month ago

I'm glad too to see you again and again. ;)Log in to reply

– Worranat Pakornrat · 1 year, 1 month ago

Lol...;)Log in to reply

One more original contribution: Andrew did not provide enough information! – Nihar Mahajan · 1 year, 2 months ago

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– Sandeep Bhardwaj · 1 year, 1 month ago

Thanks Nihar! Andrew is enjoying the names of your problems. ;)Log in to reply

Here is my submission on functions. – Svatejas Shivakumar · 1 year, 2 months ago

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@Svatejas Shivakumar for the nice problem! – Sandeep Bhardwaj · 1 year, 1 month ago

ThanksLog in to reply

This is my new one on Calculus-Parametric Equation: Dorothy's Flying!.

Enjoy! ;) – Worranat Pakornrat · 1 year, 2 months ago

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– Sandeep Bhardwaj · 1 year, 1 month ago

Great one!Log in to reply

– Worranat Pakornrat · 1 year, 1 month ago

Thanks! ;)Log in to reply

Sorry for being late and for the original problems but Civil Engineering department give me little time to live my life. Anyway hee is my entries . For floor function floor square sum For SHM SHM problem For Waves Waves problem – Refaat M. Sayed · 1 year, 2 months ago

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– Sandeep Bhardwaj · 1 year, 2 months ago

LOL, your department is so strict. They should give you, at least, one life to live. Thanks for the great problems that you managed to contribute even being tight scheduled. Thanks! :)Log in to reply

– Refaat M. Sayed · 1 year, 2 months ago

Thanks Sandeep :)Log in to reply

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– Sandeep Bhardwaj · 1 year, 2 months ago

Thanks Ashish for the nice problem. Looking for more from other topics too. Thanks :)Log in to reply

– Ashish Siva · 1 year, 2 months ago

I have combined them and posted it again.Log in to reply

– Ashish Siva · 1 year, 2 months ago

You're welcome. It was my duty and pleasure. :-)Log in to reply

Here is something for Functions – Hjalmar Orellana Soto · 1 year, 2 months ago

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– Sandeep Bhardwaj · 1 year, 2 months ago

Played nicely with square root and modulus. Thanks for the nice problem. :)Log in to reply

Just got a very simple function question for beginners. inspiration never stops – Margaret Zheng · 1 year, 2 months ago

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– Sandeep Bhardwaj · 1 year, 2 months ago

Wonderful problem with the coolest name. Thanks :)Log in to reply

– Margaret Zheng · 1 year, 2 months ago

Thanks for the compliment!Log in to reply

– Ashish Siva · 1 year, 2 months ago

Just type the name you want to link within [] brackets, then paste the url in ()brakets. :-)Log in to reply

– Margaret Zheng · 1 year, 2 months ago

Thank you so much!:DLog in to reply

– Ashish Siva · 1 year, 2 months ago

Welcome, it was my pleasureLog in to reply

My Contribution is : One sided limits – Yash Khatri · 1 year, 2 months ago

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– Sandeep Bhardwaj · 1 year, 1 month ago

I guess you provided the wrong link. Can you please look for that? Thanks!Log in to reply

Here is an old problem of mine in functions : Here . – Anish Harsha · 1 year, 2 months ago

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– Sandeep Bhardwaj · 1 year, 1 month ago

Thanks Anish!Log in to reply

My second problem contribution: For the SHM quiz (maybe its a tad bit difficult):

'2. Wobbly ellipse – Adwait Godbole · 1 year, 2 months ago

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@Adwait Godbole for your contribution!

ThanksBTW you have got a wonderful name. :) – Sandeep Bhardwaj · 1 year, 1 month ago

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This is my contribution to the party: Its a problem for capacitors quiz.

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– Sandeep Bhardwaj · 1 year, 1 month ago

Thanks! :)Log in to reply

My contribution to capacitors section. – Rohit Ner · 1 year, 2 months ago

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– Sandeep Bhardwaj · 1 year, 1 month ago

Thanks Rohit for the contribution on capacitors!Log in to reply

Here's mine for Functions

Who developed the mod function? – Mayank Singh · 1 year, 2 months ago

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@Mayank Singh :) – Sandeep Bhardwaj · 1 year, 1 month ago

ThanksLog in to reply

Here's my entry for the party:

Functions...(functions) – 展豪 張 · 1 year, 2 months ago

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– Sandeep Bhardwaj · 1 year, 1 month ago

Thanks for all of your cool problems. :)Log in to reply

– 展豪 張 · 1 year, 1 month ago

Thanks for trying all of them :)Log in to reply

Coordinate Geometry – 展豪 張 · 1 year, 2 months ago

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Functional Equation(functions) – 展豪 張 · 1 year, 2 months ago

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Here's one The mysterious point And another Think you know the ellipse? Think again Both are coordinate geometry. – Deeparaj Bhat · 1 year, 2 months ago

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– Sandeep Bhardwaj · 1 year, 1 month ago

Great ones, thanks!Log in to reply

Here you go for Functions:- Squares R.I.P . And thanks for the mention c: – Kunal Verma · 1 year, 2 months ago

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– Sandeep Bhardwaj · 1 year, 1 month ago

Nice problem, thanks!Log in to reply

Here's my entry, since functions are the only thing i know from the choices:

Functions: Annual Growth

It might be kind of easy.

For my second functions entry, here's The Donut Upsurge.

And for my third functions entry, here's A Sluggish Download

I'm not sure if this can classify as Algebra or Number Thoery, but functions can be applied to it so... Just enjoy The Summation Secret

And for my data representation entry: Dessert Survey – Gian Tuazon · 1 year, 2 months ago

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@Gian Tuazon – Sandeep Bhardwaj · 1 year, 1 month ago

Wowww! Thanks for your amazing contribution. :)Log in to reply

Here's mine

Cool 3-D problem

3-D Coordinate geometry

One more 3-D problem

Angle in 3-D – Akshay Sharma · 1 year, 2 months ago

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@Akshay Sharma – Sandeep Bhardwaj · 1 year, 1 month ago

Cool problems! ThanksLog in to reply

Calculus of parametric eqns.

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– Sandeep Bhardwaj · 1 year, 1 month ago

Fun problem, liked it very much. Thanks!Log in to reply

Here is my entry for Coordinate Geometry:

https://brilliant.org/problems/a-problem-by-soumava-pal-3/?ref_id=1147246 – Soumava Pal · 1 year, 2 months ago

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@Soumava Pal for your contribution! – Sandeep Bhardwaj · 1 year, 1 month ago

ThanksLog in to reply

@Sandeep Bhardwaj Sorry sir, I could not give more problems because my class XII board examinations were going on. Looking forward to the next problem writing party. I will be back with more problems. – Soumava Pal · 1 year, 1 month ago

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I hope that you did great with your exams. – Sandeep Bhardwaj · 1 year, 1 month ago

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– Soumava Pal · 1 year, 1 month ago

Yes, everything went good, except physics. Got a bit short on time. :P Yes the next party is gonna be fun because everyone is gonna be active after these exams.Log in to reply

– Nihar Mahajan · 1 year, 1 month ago

Don't worry, even your one contribution helps a lot :)Log in to reply

@Nihar Mahajan

Thank you for that. Though I am not too good in coordinate, and the property I used in this problem is one of the very few that I know. XD – Soumava Pal · 1 year, 1 month ago

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Sir, where should i publish – Ashish Siva · 1 year, 2 months ago

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– Mehul Arora · 1 year, 2 months ago

Create your problems, post them and put a link here.Log in to reply

– Ashish Siva · 1 year, 2 months ago

ThanksLog in to reply

Here are my submissions for SHM

A tunnel so long

Easy SHM

Here is for coordinate geometry (Locus problem)

Conic problem

@Andrew Ellinor – Prakhar Bindal · 1 year, 2 months ago

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@Prakhar Bindal for the nice problems! – Sandeep Bhardwaj · 1 year, 1 month ago

ThanksLog in to reply

Here's mine: Andlew's phuncsion .

EDIT: This too :) Andlew's phuncsion 2 – Nihar Mahajan · 1 year, 2 months ago

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– Mehul Arora · 1 year, 2 months ago

Nice work on the accent tho.Log in to reply

– Sandeep Bhardwaj · 1 year, 1 month ago

Thanks Nihar!Log in to reply

My new challenging question on Geometry-Coordinate Plane has come: Bending a Triangle.

Can you bend this triangle? ;) – Worranat Pakornrat · 1 year, 2 months ago

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– Andrew Ellinor · 1 year, 2 months ago

Now THAT'S the kind of fun challenging coordgeo problem I've been looking for. Thanks!Log in to reply

– Worranat Pakornrat · 1 year, 2 months ago

Thanks! More will come. ;)Log in to reply

Here are my new entry on Geometry-Coordinate Plane: 1, 2, 3, 4, 5....

& Algebra-Functions: Fibonacci Reversed.

Have fun with the new party! – Worranat Pakornrat · 1 year, 2 months ago

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The point-to-line distance formula is

slightlyoverused though, so maybe there are some problems that are a little more fun. ;)For instance, this problem uses the point-to-line distance but in an intriguing way: https://brilliant.org/problems/coupled-lines and this problem also stretches the brain a little bit: https://brilliant.org/problems/possible-right-triangles :) – Andrew Ellinor · 1 year, 2 months ago

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– Worranat Pakornrat · 1 year, 2 months ago

Thanks, Andrew. I'll surely come up with more challenging lines & points. ;)Log in to reply

Demented Derivatives

Hello @Andrew Ellinor here is my submission ..... – Chinmay Sangawadekar · 1 year, 2 months ago

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– Sandeep Bhardwaj · 1 year, 1 month ago

However, it is not a problem from the Party Listing topics, good problem though. Please check the topic listing for the party before submitting the problems for the party. Thanks!Log in to reply