Ask Math Anything Topics from May 2020

debbie

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?
\( \frac{d}{dy} y^6 = 6y^5 \)

debbie

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?

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 \(a + 2, a + 3, a + 4, \ldots, a + 11\)

debbie

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?

debbie

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?

debbie

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?