Problem of the Month
JANUARY
Here or There
The longest word in the Dr. Seuss book Green Eggs and Ham, and the only word containing more than one syllable, can be formed by rearranging eight of the letters in the phrase HAPPY NEW YEAR. What is that word?
(Source: 2022 Mensa Calendar Jan 1st)
In Boxes
(Source: 2022 Mensa Calendar Jan 6th)
Bonus: Create a problem to be used as a problem of the month!
DECEMBER
Option 1
The Sleeping Cats Problem
By Ollie (Gr. 3)
There are 36 cats living in a big house. They all go to bed and in the middle of the night 13 cats wake up! How many cats are sleeping? How many cats didn't wake up?
Option 2
The Garden Gnomes Problem
By Yona (Gr. 5)
Mr. Robinson has 275 garden gnomes. He buys 259 more gnomes, then 58 get smashed by a meteor falling from the sky! So he bought 7 more, but he got bored of some of them and donated 121 gnomes. How many garden gnomes does Mr. Robinson have now?
Option 3
The Essential Supplies Problem
By NRICH
'Saturn' chocolate bars are packed in boxes of either 5 or 12.
What is the smallest number of full boxes required to pack exactly 2005 'Saturn' bars?
Extension: Sweets in a Box Problem
Bonus: Create a problem to be used as a problem of the month!
Congratulations to the following students for solving the December Problem of the Month:
Julia Popa (Gr. 5)
Cori Eng (Gr. 1)
NOVEMBER
I. M. Hipp Tire Company Problem
The I. M. Hipp Tire Company produces tires for cars and two-wheel motorcycles. One week the company produced a total of 269 tires for 70 vehicles. This included a spare tire for each car but not for any motorcycle. How many motorcycle tires did the company produce each week?
Bonus: Create a problem to be used as a problem of the month!
Congratulations to the following students for solving the November Problem of the Month:
Julia Popa (Gr. 5)
Aran Levitt (Gr. 5)
Bianca Etkin (Gr. 6)
Lukas Schebesta (Gr. 5)
Jin Guo (Gr. 5)
OCTOBER
Pascal High School Locker Problem
Pascal High School has exactly 100 lockers and 100 students. On the first day of school, the students meet outside the building and agree on the following plan. The first student will enter and open all the lockers. The second student will then enter the school and close every locker with an even number. The third student will then "reverse" every third locker. That is, if the locker is closed, the student will open it; if the locker is open, the student will close it. The fourth student will reverse every fourth locker, and so on, until all 100 students have entered the building and reversed the proper lockers. Which lockers will finally remain open?
Congratulations to the following students for solving the October Problem of the Month:
Isaac Goodman (Gr. 6)
Julia Popa (Gr. 5)
Yona Reinhorn (Gr. 5)