In the grid below, box A shares walls or corners with 3 other boxes, B, E, and F. Determine how many walls or corners each of the other boxes share.
Solution
What would the numbers be in a 5 x 5 grid?
Problem of the Month - March 2025
You roll a fair six sided die twice. Your score is whichever roll was higher. For example, if you rolled a 4 and then a 3, your score would be 4. What is the probability that your score will be 5?
Problem of the Month - February 2025
In hockey, teams play three 20 minute periods. At the end of a hockey game, Team A had 4 goals and Team B had 2 goals. How many different Team A to Team B scores were possible at the end of the first period?
The possible scores were:
0-0,
0-1,
0-2,
1-0,
1-1,
1-2,
2-0,
2-1,
2-2,
3-0,
Problem of the Month - January 2025
You have a cube that has a side length of 5 cm. You want to cover it completely with cubes that have a side length of 1 cm so that you have a new, larger cube. How many 1 cm cubes will you need?
Solution:
You will need 218 one cm cubes. The side length of the new cube will be 7 cm, so the number of cubes can be found by evaluating 7x7x7-5x5x5=218.
What if the original cube had a side length of 6 cm?
Problem of the Month - December 2024
Pick a two digit number. Calculate 91 x (your number) x 111.
What do you notice?
Try it with other two digit numbers.
Why does this always happen?
Solution
91 x 111 =10101 so when you multiply a two digit number by 10101, you get the two digit number repeated three times.
Problem of the Month - October 2024
A string of consecutive whole numbers that adds to 2024 is 179+180+181+182+183+184+185+186+187+188+189.
Can you find another string of whole numbers that adds up to 2024?