Ask Math Anything Topics from May 2020

Fri 5/1/20 Live stream topics
 How do you put infinity into a finite question?
 \(y = \frac{1}{x1} \)
 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?

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 elementaryschoolers to be able to compete in math one day?

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?

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
 Slopeintercept 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?

Wed 5/6/20 Live stream
2020 MATHCOUNTS Chapter Round Questions #120

Thu 5/7/20 Live stream
2020 MATHCOUNTS Chapter Questions #2130

Fri 5/8/20 Live stream
2020 MATHCOUNTS Chapter Target Round #18
 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

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?

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?

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 \(bc = 1\) and \(ca = 3,\) 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 \( \frac{L}{2016}\)

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 10dimensional 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

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

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?

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, nonzero 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?

Tue 5/19/20 Live stream topics
 Conic sections
 What is the probability that a person scores zero marks in a multiplechoice 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, nonmath 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 4D 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?

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 nonroutine 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. \(\frac{43}{50}\)

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 rolledout sheet of dough
 In how many ways can we arrange a sixdigit number such that it is nondecreasing?
 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?
 \( (AX)(BX)(CX) \times \ldots \times (ZX)= ?\) (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)?

Fri 5/22/20 Live stream topics
Mustang Math Tournament
 Why is \(\sqrt{2}\) so useful?

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?