Ask Math Anything Topics from May 2020
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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?
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Mon 5/25/20 Live stream topics
- \( n^2 + 6n = x^2.\) Find all solutions for \(n\) if BOTH \(n\) and \(x\) are integers.
- How to explain the fourth dimension
- What's a good password that is unhackable?
- What is 1% of 2% of 3% of 4% of 5% ... of 100% of 10000?
- Create a row of 6 squares. Place \(X, Y,\) and \(Z\) in the first 3 squares respectively. You have to move them to the last 3 squares only by moving letters one space to the right. Find the total number of ways to do this. (2017 CEMC Waterloo Caley Contest Problem #24)
- 3-D version of a Catalan number problem
- Did you have a personal math teacher when you were younger, or did you study math on your own?
- Are fingerprint passwords good?
- How should I prepare for AOIME?
- Do you have experience with machine learning calculus?
- \( \frac{d}{dy} y^6 = 6y^5 \)