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    Ask Math Anything Topics from May 2020

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    • debbieD
      debbie ADMIN M0★ M1 M5
      last edited by debbie

      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
      1 Reply Last reply Reply Quote 1
      • debbieD
        debbie ADMIN M0★ M1 M5
        last edited by

        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?
        1 Reply Last reply Reply Quote 1
        • debbieD
          debbie ADMIN M0★ M1 M5
          last edited by debbie

          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?
          1 Reply Last reply Reply Quote 1
          • debbieD
            debbie ADMIN M0★ M1 M5
            last edited by debbie

            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 \( \frac{L}{2016}\)
            1 Reply Last reply Reply Quote 1
            • debbieD
              debbie ADMIN M0★ M1 M5
              last edited by debbie

              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
              1 Reply Last reply Reply Quote 1
              • debbieD
                debbie ADMIN M0★ M1 M5
                last edited by

                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
                1 Reply Last reply Reply Quote 1
                • debbieD
                  debbie ADMIN M0★ M1 M5
                  last edited by debbie

                  Fri 5/15/20 Live stream topics

                  Lexington Math Tournament Review
                  #1, #2, #7, #12, #28

                  1 Reply Last reply Reply Quote 1
                  • debbieD
                    debbie ADMIN M0★ M1 M5
                    last edited by

                    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?
                    1 Reply Last reply Reply Quote 1
                    • debbieD
                      debbie ADMIN M0★ M1 M5
                      last edited by

                      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?
                      1 Reply Last reply Reply Quote 1
                      • debbieD
                        debbie ADMIN M0★ M1 M5
                        last edited by

                        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?
                        1 Reply Last reply Reply Quote 1
                        • debbieD
                          debbie ADMIN M0★ M1 M5
                          last edited by

                          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. \(\frac{43}{50}\)
                          1 Reply Last reply Reply Quote 1
                          • debbieD
                            debbie ADMIN M0★ M1 M5
                            last edited by

                            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)?
                            1 Reply Last reply Reply Quote 1
                            • debbieD
                              debbie ADMIN M0★ M1 M5
                              last edited by debbie

                              Fri 5/22/20 Live stream topics

                              Mustang Math Tournament

                              • Why is \(\sqrt{2}\) so useful?
                              1 Reply Last reply Reply Quote 1
                              • debbieD
                                debbie ADMIN M0★ M1 M5
                                last edited by

                                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?
                                1 Reply Last reply Reply Quote 1
                                • debbieD
                                  debbie ADMIN M0★ M1 M5
                                  last edited by

                                  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?
                                  • \( \frac{d}{dy} y^6 = 6y^5 \)
                                  1 Reply Last reply Reply Quote 1
                                  • debbieD
                                    debbie ADMIN M0★ M1 M5
                                    last edited by

                                    Tue 5/26/20 Live stream topics

                                    • Show that the next to last digit of \(3^n\) is always even.
                                    • The next to last digit of \(9^n\)
                                    • Binomial Coefficients and Pascal's Triangle
                                    • Have you looked at your Wikipedia page? Is the information there accurate?
                                    • Prove that powers of 5 have 2 as the second-to-last digit
                                    • How long would it take you to solve 6 IMO problems?
                                    • What is the smallest integer that you add to \( 2018 \times 2019 \times 2020\) to make it a cubic number?
                                    • If \( \frac{m+1}{m} = 9,\) then what is \(m^2 + \frac{1}{m^2}?\)
                                    • Prime factorize \(9991\) as the product of \(2\) primes
                                    • Have you ever met Eddie Woo?
                                    1 Reply Last reply Reply Quote 1
                                    • debbieD
                                      debbie ADMIN M0★ M1 M5
                                      last edited by debbie

                                      Wed 5/27/20 Live stream topics

                                      • I have a broken calculator. If you type 39 it gives 12; if you type 98, it gives 17; if you type 54, it gives 92, and if you type 28, it gives 11. What does 53 give?
                                      • Can you prove that the Earth is round when no matter how much you walk, it still looks flat?
                                      • If multiplication is repeated addition, what does \( 0.1 \times 0.1\) mean in those terms?
                                      • How would the world be different if sound were at the same speed as light?
                                      • What is a probability that here on the chat there are two people who have the same birthday?
                                      • A large cube that is 5 cm by 5 cm by 5 cm, is painted orange on all six faces. Then it is cut into 125 small cubes, each 1 cm by 1 cm by 1 cm. How many of the small cubes are not painted orange on any face?
                                      • Three points, O(0,0), A(21,0), and C(0,21) are in a Cartesian coordinate system. Find the number of points interior of triangle OAB having only integer coordinates.
                                      • Pick's Theorem and the area of a triangle
                                      • Why are there so few girls in math and science?
                                      • Is NOVID going to be on Microsoft soon?
                                      • Let \(n\) be a positive integer. Construct a set of \(n\) consecutive positive integers that are not prime. Are there ten consecutive composite numbers?
                                      • Let \(a = \text{LCM} (2, 3, 4, 5, 6, 7, 8, 9, 10, 11).\) Then a series of consecutive composites are \(a + 2, a + 3, a + 4, \ldots, a + 11\)
                                      1 Reply Last reply Reply Quote 1
                                      • debbieD
                                        debbie ADMIN M0★ M1 M5
                                        last edited by

                                        Thu 5/28/20 Live stream topics

                                        • There are 30 students in a class. Carlos made 13 errors and all other students made fewer errors. Show that at least three students made the same number of errors.
                                        • Pigeonhole Principle
                                        • 1729 as the sum of two cubes (\(10^3 + 9^3\) and \(12^3 + 1^3\) )
                                        • Simplify \( (a-1)(a+1)(a+2) - (a-2)(a+1)\)
                                        • How do you tell if a fish has gone bad?
                                        • If \( \text{gcd} (a,b) = 1,\) does this determine \( \text{gcd}(a,2b)\)
                                        • How to make \(147\) using four \(4\)'s
                                        • Factor this expression: \(24 v^2 + 10v - 6\)
                                        • How do you find the average of \(\frac{-5}{3} \) and \(-4\)?
                                        • What is the Collatz Conjecture?
                                        • Do you have a mask?
                                        • How to spend money wisely
                                        • What's the formula for the sum of triangular numbers?
                                        • Hockey Stick Identity
                                        • Can you use math to make a good meal?
                                        1 Reply Last reply Reply Quote 1
                                        • debbieD
                                          debbie ADMIN M0★ M1 M5
                                          last edited by

                                          Fri 5/29/20 Live stream topics

                                          • There are \(99\) little \(2 \times 2\) squares cut out of a big \(29 \times 29\) square. Prove that it is always possible to cut out one more \( 2 \times 2\) square from the big square.
                                          • What is the base \(5\) version of 110010? (110010 is in base 10)
                                          • Change 314159 to base 7
                                          • My parents need a new WiFi router; which one should we get?
                                          • The numbers obtained by only using the digits \(1, 2,\) and \(3\) are written in ascending order: \(1, 2, 3, 11, 12, 13, \ldots.\) What is the 2022-th number in this sequence?
                                          • What is the 930th number with 7 digits in 1, 2, 3?
                                          • Why not monetize your channel?
                                          • How do you get a life?
                                          1 Reply Last reply Reply Quote 1
                                          • debbieD
                                            debbie ADMIN M0★ M1 M5
                                            last edited by

                                            Sat 5/30/20 Live stream topics

                                            • Did you see the Space X launch? Do you think this will change the world?
                                            • Do you think celebrities get mobs of fans at their house?
                                            • How do I prepare for AOIME?
                                            • Why am I getting alerts from NOVID?
                                            • Which would you choose, pizza or taco or hot dog?
                                            • Do you guys have mobs of people at your office?
                                            • Opinions on Dyson spheres (huge megastructures that completely cover the sun and can harness its power)
                                            • What do you think every human being should achieve in life?
                                            • How many people have downloaded NOVID so far?
                                            • What's your least favorite subject?
                                            • Does learning a language help you in the future?
                                            • Can you talk about how you came up with the idea of building NOVID?
                                            • How to get better in math?
                                            • If you could make any other app, what would you make?
                                            1 Reply Last reply Reply Quote 1

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