An integer is defined as upright if the sum of its first two digits equals its third digit. For example, 145 is an upright integer since 1+4=5. How many positive three-digit integers are upright? Last week’s question and solution Problem: Daniel is having dinner with a friend. He buys five dishes and his friend [...]
More →Daniel is having dinner with a friend. He buys five dishes and his friend buys three dishes. At the last minute another friend comes to eat with them and pays $4 for his share of the meal. If all the dishes have the same value, how should the money be divided between Daniel and his [...]
More →The average house price in Boomtown rose 30 percent each year for the last five years. If the average house price is currently $250,000, what was the average house price five years ago? Last week’s problem and solution 999 Coins Starting with a single pile of 999 coins, a person does the following in [...]
More →Starting with a single pile of 999 coins, a person does the following in a series of steps: In step one, he splits the pile into two nonempty piles. Thereafter, at each step, he chooses a pile with 3 or more coins and splits this pile into two piles. What is the largest number of [...]
More →School Council Minutes 2/11/10 Attendance: Joseph Connelly, Suzanne Stern, Jim Stoddard, Judy Katz, George Sopel, Amy Hummel, Danielle Halwick, Rebecca Kemp, Teresa Gallo-Toth Dr. Connelly opened the meeting by welcoming the newly elected council member, Amy Hummel, to her first meeting. He also welcomed Judy Katz, a Runkle School neighbor, who has agreed to serve [...]
More →4:00 pm Attendance: Joseph Connelly, Danielle Halwick, Ben Chang, Rebecca Kemp, Kayla Myerson, Jennifer Shapiro, Teresa Gallo-Toth, Jim Stoddard, Suzanne Stern, George Sopel, Kate Hollander (Guest) Dr. Connelly opened the meeting at 4:00PM by distributing the 12/21/09 meeting packets. Jim Stoddard moved the minutes of the 11/19/09 be approved with one correction: under item #3 [...]
More →4:00 pm Attendance: Joseph Connelly, Rosemary McElroy, Ben Chang, Jennifer Shapiro, George Sopel, Rebecca Kemp, Suzanne Stern, Michelle Bernstein, Teresa Gallo-Toth, Jim Stoddard, Danielle Halwick Dr. Connelly reported newly appointed teacher representative Kayla Myerson was unable to attend due to a graduate course conflict. She hopes to begin attending all meetings in December 2009. Runkle [...]
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