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 - May
A bag contains 5 blue blocks, 7 green blocks, and 6 red blocks. Blocks are selected randomly, one at a time, from the bag. What is the minimum number of blocks that need to be removed from the bag to be certain that there are three that are the same colour?
Problem of the Month - April 2025
You have a 7 minute and a 4 minute hourglass timer. How would you use these to measure 9 minutes?
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?
Solution: If you roll a six sided die twice, there are 36 possible outcomes. The ones that would result in a score of 5 are:
1,5
2,5,
3,5
4,5
5,5
5,4
5,3
5,2
5,1
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?