Here are two problems involving those pesky radicals from the 2025 Math Calendar.
“#1. Find the value of the expression 
#2. Find the value of x in the expression
Incredibly the answers are days on the calendar.
See Two Radical Problems for solutions.
Here are two algebra problems from the 2025 Math Calendar.
“#1. Find the value of the ratio
#2. Find the value of the sum
z90 + z87 + … + z3 + 1
where z2 + z + 1 = 0.”
Remember the answers are days on the calendar.
See Two Algebra Puzzles for solutions.
This is another typical travel puzzle from the 2024 Math Calendar.
“A boat travels downriver at 30 mph, then goes back up along the same path at 20 mph. What is the boat’s average speed?”
As before, recall that all the answers are integer days of the month.
See Another Boat Puzzle for a solution.
This is a curious relation from the 2024 Math Calendar.
“10! seconds is exactly how many weeks?”
As before, recall that all the answers are integer days of the month, and also recall that 10! = 10x9x8x … x3x2x1.
See a Curious Calendar Puzzle for a solution.
This is another nice problem from the 2025 Math Calendar.
“The two squares in the diagram have areas 9 and 16 and form two of the sides of a triangle with area 3. What is the area x of the blue triangle?”
Again, the result must be a number of a day in a month.
See the Two Squares Puzzle for a solution.
This is another challenging sum from the 2024 Math Calendar.
“Find x where x = et and
”
As before, recall that all the answers are integer days of the month.
See Yet Another Sum for a solution.
For me this turned out to be sort of a challenging problem from the 2025 Math Calendar.
“Given equal line segments AB = CD, what is angle θ in degrees?”
See Elusive Angle for a solution
This is another simple problem from the 2025 Math Calendar.
“The sum of x consecutive numbers is 529. Their average is x. What is x?”
For a bonus problem, not included in the calendar, what is the sequence of numbers?
See Number Average for a solution.
This is a nice little puzzle from the 2024 Math Calendar.
“Find the sum of the coefficients of
(1 + x + x2)3 “
As before, recall that all the answers are integer days of the month.
See the Simple Polynomial Puzzle for a solution.
Well, I discovered that the 2024 Math Calendar has some interesting problems, so I guess things will limp along for a while. This is a challenging but imaginative problem from the calendar.
_______________
As before, recall that all the answers are integer days of the month.
See the Amazing Root Problem for a solution.
