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.
Yet Another Sum
Leave a reply
Tag Archives: Math Calendar
Elusive Angle
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
Number Average
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.
Simple Polynomial Puzzle
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.
Amazing Root Problem
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.
Stimulating Sequence
This is another stimulating little problem from the 2022 Math Calendar.
“a1 = 1, a2 = 2, …, an+1 = an + 6an-1
x = lim an+1/an as n → ∞
Solve for x.”
As before, recall that all the answers are integer days of the month.
See Stimulating Sequence for a solution.
Two and a Half Circles
Here is a problem from the 2022 Math Calendar.
“Two small circles of radius 4 are inscribed in a large semicircle as shown. Find the radius of the large semicircle.”
As before, recall that all the answers are integer days of the month.
As seemed to be implied by the original Math Calendar diagram, I made explicit that the upper circle was tangent to the midpoint of the chord. Otherwise, the problem is insufficiently constrained.
See Two and a Half Circles for a solution.
Log Jam
Here is a tricky little logarithm problem from the 2021 Math Calendar.
Winter Sum
Here is another sum problem, this time from the 2021 Math Calendar.
________________
As before, recall that all the answers are integer days of the month. And the solution employs a technique familiar to these pages.
See the Winter Sum for a solution.
Remainder Problem
Here is a challenging problem from the 2021 Math Calendar.
“Find the remainder from dividing the polynomial
x20 + x15 + x10 + x5 + x + 1
by the polynomial
x4 + x3 + x2 + x + 1”
Recall that all the answers are integer days of the month.
See the Remainder Problem for a solution.