MathDB

1

Part of 2020 BMT Fall

Problems(5)

BMT Algebra #1 - Juggling Show

Source:

10/11/2020
Marisela is putting on a juggling show! She starts with 11 ball, tossing it once per second. Lawrence tosses her another ball every five seconds, and she always tosses each ball that she has once per second. Compute the total number of tosses Marisela has made one minute after she starts juggling.
Bmtalgebra
BMT 2020 Fall - Geometry 1

Source:

12/30/2021
A Yule log is shaped like a right cylinder with height 1010 and diameter 55. Freya cuts it parallel to its bases into 99 right cylindrical slices. After Freya cut it, the combined surface area of the slices of the Yule log increased by aπa\pi. Compute aa.
geometry
2020 BMT Team 1

Source:

1/9/2022
Julia and James pick a random integer between 11 and 1010, inclusive. The probability they pick the same number can be written in the form m/nm/n , where mm and nn are relatively prime positive integers. Compute m+nm + n.
probabilitycombinatorics
2020 BMT Individual 1

Source:

1/9/2022
Justin throws a standard six-sided die three times in a row and notes the number of dots on the top face after each roll. How many different sequences of outcomes could he get?
combinatorics
2020 BMT Discrete #1

Source:

3/10/2024
How many permutations of the set {B,M,T,2,0}\{B, M, T, 2,0\} do not have BB as their fi rst element?
combinatorics