Problem of the Month - November 2023
A person starts at 5 and counts by 10s, so they count 5, 15, 25, …
Another person starts at 700 and counts by 3s, so they count 700, 703, 706, …
If they start at the same time and say their numbers at the same rate, who will get over 1000 first?
Solution
The person counting by 10s will get over 1000 first. The person who is counting by 10s will be over 1000 after saying 101 numbers. The person who is counting by 3s will be at 1000 after saying 101 numbers and will be over 1000 after saying 102 numbers
Problem of the Month - October 2023
If you roll two six-sided fair dice are you more likely to get an even result if you add the top numbers or if you multiply them?
Solution
You are more likely to get an even result if you multiply the dice. If you add them the probability of getting an even number is ½. If you multiply the numbers, the probability of getting an even number is ¾.
Problem of the Month - September 2023
Seven points are randomly placed on the circle shown below.
How many different triangles can be drawn using these points as vertices?
Solution
Problem of the Month - June 2023
Suppose there was one of six prizes inside your favourite box of cereal.
How many boxes of cereal would you expect to have to buy to get all six prizes?
Simulate this with a six-sided die. Roll the die and keep track of how many rolls it takes to get all 6 numbers.
Repeat the experiment several times.
Approximate the answer to this question by finding the mean (arithmetic average) of all of your results
Problem of the Month - May 2023
Can you find four consecutive numbers which add up to 10?
How about four consecutive numbers that add to 22? How about 110?
Solution
1+2+3+4=10; 4+5+6+7=22; 26+27+28+29=110.
Can you find four consecutive numbers that add to 298?
Problem of the Month - April 2023
Where on this number line would you place the number 1 billion?
Solution
Problem of the Month - March 2023
You are ordering round pizzas.
If you want more pizza, would it make sense to order two 12 inch diameter pizzas or one 18 inch diameter pizza?
Solution
If you wanted more pizza, it would make sense to order one 18 inch pizza.
What if you wanted more crust?
Would it be better to order two 12 inch diameter pizzas or one 18 inch diameter pizza?
February 2023 - Problem of the Month
This Month’s Problem
Consider the following pattern.
January 2023 - Problem of the Month
In the puzzle below, the value of a square in any of the top three levels is the sum of the two squares directly beneath it. What will be the value in the top square?
December 2022 - Problem of the Month
How many squares do you see in this picture? (There are more than 20)
Answer
There are 30 squares. What if instead of a 4x4 grid, we started with a 5x5 grid. How many squares would there be?
