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 - November 2024
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.
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?
Problem of the Month - September 2024
The diagonal of this 3 x 5 grid goes through 7 squares.
How many squares would the diagonal of a 12 x 20 grid go through?
What about a 6 x 9 grid?
June 2024 - Neighbourhood Math Adventures
Welcome to the Math Trail! Get ready to explore your neighborhood and have fun while solving math problems.
Feel free to modify the trail based on the amount of time you have to explore! Have a fantastic time exploring and applying your mathematical reasoning skills in your neighborhood.
Stop 1: Street Signs Bingo
Problem of the Month - May 2024
Place the digits 0 to 8 in the grid above so that the sum of every row and every column is a multiple of 6.
Solution(s) will be posted at the end of the month
Problem of the Month - April 2024
How many rectangles (including squares) are there in this picture?
Solution(s)
Problem of the Month - February 2024
When a number is multiplied by itself, the answer is a perfect square.
For example, 25 is a perfect square because 5 x 5 is 25.
In how many ways can the number 1764 be written as the product (multiply) of two perfect squares?
Solution
1764 can be written as a product of two perfect squares in three ways.
- 4 x 441
- 9 x 196
- 36 x 49
(It can also be written as a product of three perfect squares 4 x 9 x 49)
Problem of the Month - January 2024
In how many ways can 15 identical red blocks be put into four piles so that each pile has at least one block and no two piles have the same number of blocks?
(The order of the piles does not matter).
Solution(s)
There are 6 ways to create four piles with 15 objects and no piles have the same number of objects.
1 2 3 9
1 2 4 8
1 2 5 7
1 3 4 7
1 3 5 6
2 3 4 6
Problem of the Month - December 2023
Which is a better deal, one round pizza that is 18 inches in diameter for $15 or two round pizzas that are both 12 inches in diameter for $15?
Solution
The 18 inch diameter pizza is a better deal. The area of a circle can be found by the formula A=pi x radius x radius. The area of the top of the 18 inch diameter pizza is about 254 square inches. The area of the top of one 12 inch diameter pizza is about 113 square inches so two of them would have a top area of about 226 square inches.