The Problem Of The Week is a weekly math competition. A new problem will be posted every week. The problem will be posted outside Mr. Robison’s door and on School Loop. You can participate by coming up with a solution and submitting it to Mr. Robison. Each week the winner will win a front of the line lunch pass, a HOOPLA award and a homework pass for your math class. At the end of the year all of the winners will get to go on a field trip.
Please follow these guidelines while participating in the competition:
- Students are expected to work on the problem independently.
- Solutions must be submitted to Mr. Robison by Friday at 3:30. You may submit solutions electronically through School Loop or physically by putting your solutions in the envelope outside Mr. Robison’s door.
- Show all of your work, just submitting the answer will not be enough to win.
- Neatness and organization are important, they will be a factor in determining the winner in case of multiple correct solutions.
- It is very important to show and explain all steps that are a part of your solution. It is likely that there will be multiple students who arrive at a correct answer. The winner will be chosen based on elegant or clever solutions. If you can solve the problem in multiple ways feel free to do so. Some problems will have multiple parts. You may submit a solution even if you did not complete all parts.
- There is no limit to the number of times that a student may win, but homework passes are only allowed to be used once per week.
Congratulations to our winners so far:
Week 19 - Aaron Liang (8th)
Week 20 - Alicia Thurber (6th)
Week 21 - Gavin Liang (7th)
Week 22 - Gavin Liang (7th)
Week 23 - Alan Su (6th)
Week 24 - Jennifer Zacena (8th)
Week 25 - Lianne Wong (7th)
Here is this week’s problem:
Problem of the Week #26
Of seven coins, six are the same weight and one is lighter than the others. Given a balance with two pans for comparing weights, what is the least number of weighings needed to determine which coin is light?
Of 200 coins, 199 are the same weight and one is lighter than the others. Given the same balance, what is the least number of weighings you can come up with to determine which coin is light?