Trevor's Ten

HELLO BRILLIANT

Sorry I haven't been posting much recently. I've been busy compiling a set of my top 10 best problems (the 3rd is based off of one of Sualeh Asif's) posts.and now I'm going to release them all at once as a set. There are some mechanics, calculus, Algebra, Geometry, NT, and combinatorics problems.

Most of these problems are very challenging (lvl 4-5) but all of them have very elegant solutions. Please, if you like a problem, kindly like and reshare it because I worked very very hard on all of these.

Btw, incase you're wondering why it's my top 10 and not 11 it's because one problem here isn't exactly original since I made one similar before.

Here is a direct link to the set

Numbers next to links represent relative difficulty in this set. Not the actual level of the problem

FOR THOSE WHO WANT A CHALLENGE, Try the problems with ** next to them

NT

%Solvers 3.5

Lol, Integers 5

738 Followers Problem 2.5

Alg

**A Man in the Valley 5

WHY ISNT B CUBED??? 4

Geom

**Angle Trisector(this is my favorite) 5

Triangle Area Sum(based off of a problem I made before that didn't get too popular, but I'm reposting it cuz I feel it's is a good problem) 4

Calculus

The Greatest Sin 3.5-4

**Rotating a Graph 4.5

Combinatorics

The Forest 2 4

Mechanics

SEAN and the TYrannosaurus Rex 2.5-3

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Math

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Remember to wrap math in $ ... $ or \[ ... \] to ensure proper formatting.

2 \times 3

2 \times 3

2^{34}

2^{34}

a_{i-1}

a_{i-1}

\frac{2}{3}

\frac{2}{3}

\sqrt{2}

\sqrt{2}

\sum_{i=1}^3

\sum_{i=1}^3

\sin \theta

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\boxed{123}

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Markdown	Appears as
`italics` or `_italics_`	italics
`bold` or `__bold__`	bold
- bulleted - list	bulleted list
1. numbered 2. list	numbered list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1 paragraph 2	paragraph 1 paragraph 2
`[example link](https://brilliant.org)`	example link
`> This is a quote`	This is a quote
# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"	# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"

Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

Nice set of problems.. good to see you back again.

Sanjeet Raria - 6 years, 3 months ago

Thanks Sanjeet! Glad to hear you like them

Trevor Arashiro - 6 years, 3 months ago

Is that you on the golf course?

Calvin Lin Staff - 6 years, 3 months ago

Yes, it was for a photoshoot at my Aunt's wedding.

OMG, totally wasn't expecting that! You should make that your profile pic.

@Calvin Lin – lol, thanks, will try it and see how it looks.

Hi, Trevor. That photo looks good enough to go into Golf Digest. :) Great set of unique problems; I'm looking forward to leisurely wading through them. I do have a concern about the "Triangle Area Sum" question, though. I might be going crazy, but I can find only two possible triangles under the given conditions. I initially thought there were four, but two of them fail because we can't have the 60 degree angle opposite the side of length 9, (it's left hanging in mid-air, otherwise). I'll give it another go if you are certain of your solution, but I just wanted to ask before giving it yet another try. Thanks.

Brian Charlesworth - 6 years, 3 months ago

Oh god... I forgot to change it to 11... Lol. The answer is still right, but I gotta change the wording to say 11. Thanks for catching that :)

And thanks! Lol, Photoshop works miracles these days.

Oh good, so I'm not going crazy. :)

Nice questions @Trevor Arashiro !

I had read that comment in which you were telling Brian sir how you'll post a lot of questions at once , and was waiting for that to happen . Just when I had forgotten about it, it happened !

Also , is it you in the pic above ?

A Former Brilliant Member - 6 years, 3 months ago

Lol, it kinda was a while ago.

And yes, it is.

Nice to have you back! Saw two of them right now, and have reshared them. Nice questions!

User 123 - 6 years, 3 months ago

Thanks! I worked really hard on all of these so to see that people are enjoying them is quite satisfying. Lol

Ah, it's truly a beautiful problem!

All the links lead back to this thread ;-;

Jake Lai - 6 years, 3 months ago

Please read the paragraphs above. Lol

Ah. Wow. I'm dumb. Hit me.

@Jake Lai – With a crowbar? :3

Prasun Biswas - 6 years, 3 months ago

@Jake Lai – what did you like to be hit with?Feel free to answer.LOL...

mudit bansal - 6 years, 3 months ago

I didn't know that you looked like a cartoon. Anyway, nice picture. :3

lol, which one?

Your face in the pic. For some reason, it looks like Vito Scaletta from Mafia II.

Ignore my earlier comment. Actually, you look like the game character I mentioned. All that's left is a baseball bat/Thompson 1928 in your hand instead of a golf club.

On second thoughts, clubs are also good extortion weapons. So, it works. Let me see if I can find the pic that matches you most with the character I'm talking about.

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$