Ask Math Anything Topics from May 2020
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Fri 5/1/20 Live stream topics
- How do you put infinity into a finite question?
 - \(y = \frac{1}{x-1} \)
 - Reverse psychology and IMO problems (If you touch a penny in a bucket, it disappears and two more appear to the right)
 - Bob the cat walks along a 2d grid. After 5,000 steps, where will he be? He can move left and right.
 - What's the probability that my question will be picked?
 
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Sat 5/2/20 Live stream topics
- What's the percent of people who need to use the app NOVID?
 - Have you participated in mock trial?
 - My dad said math is about remembering formulas... I thought it was about knowing things. Who's right?
 - Do you do only math?
 - Can I use MATHCOUNTS to prepare for AMC 8 and vice versa?
 - Can you explain how NOVID works?
 - What do you think about the upcoming MATHCOUNTS?
 - What's the most important skill in learning math?
 - Will you go for 100% of people downloading NOVID?
 - What advice can you give to elementary-schoolers to be able to compete in math one day?
 
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Mon 5/4/20 Live stream topics
- Fourier transforms and NOVID
 - Order of operations
 - Floating point decimals
 - Writing \( \frac{1}{3} \) in base 2
 - Writing \(2310321\) in base 4. What does it equal in base 2?
 - Do you get discouraged when you make a mistake in math problems?
 - I do like math, but I don't like it a lot. What should I do?
 - How can I train myself in mental math?
 - The trick for squaring numbers ending in 5
 - Why is the square root of a number usually irrational?
 - \(31^2\) is the flip of \(13^2\). Why? Why doesn't this trick work for 14 and 41?
 - Why did it take so long to get NOVID into the Play Store?
 - What would happen if every one jumped at the same time at the place where they are right now?
 
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Tue 5/5/20 Live stream topics
- What is the probability that you will wear a green shirt?
 - Have you ever used algebra outside of teaching? It seems inapplicable elsewhere...
 - How to remember formulas easily
 - Slope-intercept form (epols is slope backwards)
 - Why is this show called, "Ask Math Anything"?
 - Five people were eating apples. A finished before B, but behind C.D finished before E, but behind B. What was the finishing order?
 - What is the first factorial that has mod 314 \( \equiv 0 ? \)
 - Susan and Lisa decided to play tennis against each other. They bet $1 on each game they played. Susan won three bets and Lisa won $5. How many games did they play?
 - What is the probability of randomly placing all the people in the world on Rhode Island and having a family member next to you?
 - Talk about light years
 - Is anything faster than light, if you're in a wormhole?
 - What do you do during math competition breaks?
 
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Wed 5/6/20 Live stream
2020 MATHCOUNTS Chapter Round Questions #1-20
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Thu 5/7/20 Live stream
2020 MATHCOUNTS Chapter Questions #21-30
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Fri 5/8/20 Live stream
2020 MATHCOUNTS Chapter Target Round #1-8
- How do you get over the crippling anxiety of the countdown round?
 - How long should you read the problem for, and how long should you do the problem for?
 - Can you go over the old MATHCOUNTS problems from previous years?
 - How many questions does a normal person get right on the Sprint Round? I want to compare myself against other competitors and study more if needed
 
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Sat 5/9/20 Live stream topics
- Is there a cameraman?
 - How do you get good at quick math?
 - What is your computer model?
 - What are you afraid of?
 - Where is your water cup?
 - Was math invented or discovered?
 - Is it okay to feel lonely even though I have my family?
 - What microphone model do you have?
 - Is math a language?
 - When was the last time you had a haircut?
 - Do you think that in the future the dollar bill will be worth more or less than now?
 - When did you start the Daily Challenge?
 - What is the progress on the iPhone app?
 - What is the definition of a nerd in your mind?
 - What glasses do you have?
 - What were you like in high school?
 
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Mon 5/11/20 Live stream topics
- What are the perimeter and volume of your house?
 - What is the smallest possible surface area?
 - The origin of the name "pi"
 - What's the status of NOVID?
 - Tips on the ACT and SAT
 - Why is the area of a circle \( \pi r^2?\) Why don't you cut the pie into 11 slices?
 - Let \(a\) and \(b\) be irrational numbers. Are there such numbers \(a\) and \(b\) such that \(a^b\) is a rational number?
 - Euler's Identity
 - \(\sqrt{2}^2 = 3\) ?
 - What would happen if all life on Earth stopped for 5 minutes?
 - Why does the gap between prime numbers INCREASE?
 - Billy and a cat are playing a memory game composed of 72 cards, each with an identical pair. What is the probability of Billy and the cat flipping half of the cards, and not finding one pair?
 
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Tue 5/12/20 Live stream topics
- Let \(a\) and \(b\) be any positive integer such that \(ab + 1 \) divides \( a^2 + b^2\). Show that \( \frac{a^2 + b^2}{ab + 1}\) is the square of an integer. Are \(a\) and \(b\) even?
 - What are some good ways to speed through mental math?
 - If \(a - b = 1\) and \(b-c = 1\) and \(c-a = 3,\) and \(abc = 60,\) what are \(a, b,\) and \(c?\)
 - 99 in base 10 + 77 in base 10 equals what in base 9?
 - FOIL explanation with area
 - Is math related to Minecraft?
 - Once I assign mass points, what do I do after?
 - Let \(S\) be the set of all positive integers between 1 and 2017, inclusive. Suppose that the least common multiple of all elements in \(S\) is \(L.\) Find the number of elements in \(S\) that do not divide \( \frac{L}{2016}\)
 
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Wed 5/13/20 Live stream topics
- How many digits are there in \(100!\)?
 - What is \( 2!!!^{2!!^{2!}}\) ???
 - \(2^{2^{2^{2^{2^2}}}}\)
 - How do you stay motivated to work on math when times are difficult and your interest is fading?
 - Is it possible to make a checkerboard with one penny on the first square, two pennies on the second square, three on the third, and so on and so forth?
 - What is the smallest whole number that is equal to seven times the sum of its digits?
 - What's the best strategy to get far in the AMC's?
 - What's the number of edges in a 10-dimensional cube?
 - Why are there commas between every three digits in a number?
 - How many squares are there on an 8x8 chessboard?
 - Tips for learning calculus
 
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Thu 5/14/20 Live stream topics
- Tips for doing the countdown round at MATHCOUNTS
 - If there are two types of people, people who lie and people who don't lie, and you meet a stranger, how can you tell if they are a liar or not?
 - How to find the square root of a number manually
 
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Fri 5/15/20 Live stream topics
Lexington Math Tournament Review
#1, #2, #7, #12, #28 - 
					
					
					
					
Sat 5/16/20 Live stream topics
- How do you cope with coronavirus? Do you go to the store on a daily basis?
 - The danger of coronavirus is that people spread it before they know that they are sick
 - Have you ever met Sal Khan, Richard Rusczyk or Terence Tao?
 - What kind of phone do you have?
 - Can human beings approach the speed of light?
 - Is NOVID going to be able to be sold?
 - Can you turn the blue background off and show us the green screen?
 - Have you ever met Grant Sanderson?
 - If you have never seen a type of problem, how do you approach it first?
 - What is the best way to learn? Like, how long should you learn, practice, research and rest? Thanks!
 - Why do you love math so much?
 - What do you do in isolation?
 
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Mon 5/18/20 Live stream topics
- Can music help with math? If so, then how?
 - Using math to win in monopoly
 - If you're flipping an empty bottle (like a Pure Life bottle), what angle do you need to throw it at in order to make it land on its cap?
 - Is it possible to have 3 real, distinct, non-zero numbers \(a, b,\) and \(c\) such that \(a, b\) and \(c\) form both an arithmetic and geometric sequence?
 - Geometric mean
 - What can be done to make education free for everyone globally? And make the world a better place?
 - We say \(\pi\) is an irrational number. That means it can't be expressed as \(\frac{p}{q}.\) But then why is \(\pi\) the ratio between the circumference and the diameter of a circle?
 - How to prove \( \sqrt{ab} \leq \frac{a+b}{2}?\)
 - If I give you a normal paper and tell you to fold it 30 times, can it be higher that the Himalayas?
 - How good are you at physics?
 - Can you prove that \(e^{\pi}\) is greater than \(\pi^e\) without using a calculator?
 - Why do you use Linux? Assuming it's good, how?
 - How accurate is sample size?
 - Are you the US National Olympiad coach?
 
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Tue 5/19/20 Live stream topics
- Conic sections
 - What is the probability that a person scores zero marks in a multiple-choice question test with 50 questions, each of which has 3 choices and gets three correct?
 - Is engineering more math or more physics?
 - Is luck real?
 - A special coin to explain math
 - What's your tips for improving math skills for a disciplined, non-math student?
 - Can you use math to win rock paper scissors?
 - What is as light as a feather but something the strongest animal or human can't hold?
 - How many vertices does a cube have? Euler's Polyhedral Formula
 - Is 4-D chess possible?
 - Why is the AMC logo an icosahedron?
 - Where did you learn to draw an icosahedron?
 - What's the best way to memorize something?
 - If you didn't do math, what would you major in?
 - What's the point of radicals?
 - Do you like art?
 
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Wed 5/20/20 Live stream topics
- The millennium prize problems
 - Could you please help us understand the values of negative \(n\)?
 - What was that ringing in the background?
 - Given \(n\) married couples, how many ways are there to form pairs consisting of one man and one woman who are not a couple?
 - Any tips for solving combinatorics problems generally?
 - Can you recite \(\pi\) to 100 digits?
 - What is your guidance for students who want to pursue research in math in the future?
 - If I don't like math, should I continue doing it?
 - I like non-routine math, but it takes time, and school doesn't allow that!
 - Why is math related to coding?
 - Do you think that one day, calculus will be taught in elementary school?
 - Could you explain the connection between sine in triangles and sine in waves and phenomena like sound?
 - Can you give some tips for solving geometry problems?
 - Do waves actually look like the sine function?
 - Is it possible to make a super fast bicycle using gear ratios?
 - Is it possible to make a super SLOW bicycle using gear ratios?
 - Is it possible to multiply \(\pi\) with an integer and get a rational number?
 - \( \frac{17}{21} \) vs. \(\frac{43}{50}\)
 
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Thu 5/21/20 Live stream topics
- Area of an equilateral triangle
 - Fraction of area used up by cookie dough if cookie are cut out of a rolled-out sheet of dough
 - In how many ways can we arrange a six-digit number such that it is non-decreasing?
 - Are there more irrational numbers or rational numbers?
 - How do you prove Heron's Formula?
 - Are there more composite numbers or prime numbers?
 - How can we find the radius of three circles with a triangle making a point at each center, where the triangle sides are 16, 18 and 20?
 - \( (A-X)(B-X)(C-X) \times \ldots \times (Z-X)= ?\) (MATHCOUNTS Countdown Round)
 - What is your key piece of advice for succeeding in Calculus, or any complex mathematics study?
 - Do you have a floating keyboard?
 - What is the probability of getting a perfect score on the SAT by guessing every answer?
 - How long did it take for you to code the program for this live stream?
 - Pick any number. If that number is even, divide it by 2. If it's odd, multiply it by 3 and add 1. Now repeat this process with your new number. If you keep going, you'll eventually end up at 1. Why?
 - If you know how to draw an icosahedron, do you know how to draw an icosahenagon (with 21 sides)?
 
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Fri 5/22/20 Live stream topics
Mustang Math Tournament
- Why is \(\sqrt{2}\) so useful?
 
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Sat 5/23/20 Live stream topics
- How does COVID affect global warming?
 - How to make a very slow rocket
 - Do you have any number theory tips?
 - How tall are you in feet?
 - Is it possible that Star Wars or Star Trek could be real?
 - What stylus do you have?
 - Did you get a scholarship at Cambridge?
 - Can you please make a coding video or talk about some coding?
 - Why is number theory so hard?
 - Do you think stopping time is possible?
 - How long have you been a professor?
 - Where do you get working code?