MathDB

1

Part of 2021 BMT

Problems(5)

BMT Discrete #1 - Angelic Debiru and Cards

Source:

11/29/2021
Towa has a hand of three different red cards and three different black cards. How many ways can Towa pick a set of three cards from her hand that uses at least one card of each color?
combinatoricsBmt
BMT 2021 Guts Round p1

Source:

10/7/2022
The isoelectric point of glycine is the pH at which it has zero charge. Its charge is −13-\frac13 at pH 3.553.55, while its charge is 12\frac12 at pH 9.69.6. Charge increases linearly with pH. What is the isoelectric point of glycine?
analytic geometrygeometry
BMT 2021 Geometry #1

Source:

8/12/2023
Shreyas has a rectangular piece of paper ABCDABCD such that AB=20AB = 20 and AD=21AD = 21. Given that Shreyas can make exactly one straight-line cut to split the paper into two pieces, compute the maximum total perimeter of the two pieces
geometry
BMT 2021 General p1

Source:

9/27/2023
Carson and Emily attend different schools. Emily’s school has four times as many students as Carson’s school. The total number of students in both schools combined is 1010510105. How many students go to Carson’s school?
algebra
BMT 2021 General p2 / Algebra 1

Source:

9/27/2023
Let xx be a real number such that x2−x+1=7x^2 -x+1 = 7 and x2+x+1=13x^2 +x+1 = 13. Compute the value of x4x^4.
algebra