🦫 Upstate NY Math Team: Sunday CUBRMC problem review

Nov 06, 2024

Upstate New York Math Team

Mathematical Problem Solving

Dear Upstate New York Math Team,

Let’s start reviewing the 2024 CUBRMC Problems this Sunday morning, November 10, at 9am! Join us on Zoom: (https://bard.zoom.us/j/82682517748?pwd=y9JLpHLkj58ZhysTtIzUtHjWBty1ID.1)

If you have an insightful solution to share, please sign up. We’ll take just one hour, so there will certainly be problems left over to review at a later session.

Here are some of the problems that you might see solved this Sunday:

Individual #2. Two 3x3 squares are placed next to each other so that they share an edge of length 1 as shown in the figure. How many ways can we cover all 18 squares with 2x1 tiles?

Individual #6. Bradley can perform one of two operations on an integer: he can either square it or add 1 to it. If Bradley starts with the integer 1, what is the minimum number of operations that Bradley needs to perform to reach exactly 1000?

Proof #4. Let x0, x1, x2, … be a sequence given by x0=0, x1=1, and

for all integers n ≥ 0. Show that all terms of the sequence are integers.

See you on Sunday morning!

Japheth

—

Japheth Wood is a coach for the Upstate New York Math Team and also a math professor at Bard College in Annandale-on-Hudson, NY.

^*For our purposes, Upstate New York refers to that part of New York State which lies outside of Long Island and New York City. Are you not an Upstate New Yorker? We welcome you to join us at our training sessions, but can’t invite you to be part of our geographically-defined teams at ARML and other contests.

Upcoming Practices

CUBRMC 2024 Problem Review

Date: Sunday, November 10, 2024

Time: 9:00am - 10:00am (Just one hour.)

Zoom: Click Here (https://bard.zoom.us/j/82682517748?pwd=y9JLpHLkj58ZhysTtIzUtHjWBty1ID.1)

Description: Let's take an hour to share solutions with each other. Sign up to present! Japheth will host and maybe share a solution or two as well. Let's emphasize clear and insightful solutions that are prepared in advance.

Coming up: Review of the 2024 AMC 10/12 A & B Problems. (To maintain contest security, we remind all students not to discuss AMC problems until after 8 a.m. Eastern Time the day following the contest.) Details TBA

We hope you will join us!

Reminder: Please get ahold of a copy of Paul Zeitz’s Art and Craft of Problem Solving book, which we will use as a common text this year.

AMC 10/12 and 8

These individual contests come very highly recommended, so make sure to sign up at your school.

AMC 10A and 12A contests: Wednesday, November 6, 2024

AMC 10B and 12B contests: Tuesday, November 12, 2024.

Students do not register directly with the AMC, but arrange to take the AMC contests through their contest manager, typically a math teacher at their school.

Practice old AMC 12 problems on the Art of Problem Solving Wiki!

AMC 12 Archive

Practice old AMC 10 problems on the Art of Problem Solving Wiki!

AMC 10 Archive

We will request your AMC 10/12 scores when you apply to be on the Upstate New York ARML Team.