by John Ehrke | Oct 29, 2021 | Problem of the Week
Problem 6 – Jack O’ Squares Consider the following Jack-O-Grid of equally spaced Jack-O-Lanterns. How many squares are there, whose vertices are Jack-O-Lanterns in this grid? Solutions are due by 5:00 PM on Thursday, November 4th. Please submit all...
by John Ehrke | Oct 15, 2021 | Problem of the Week
Counting Squash or Smashing Pumpkins (if you are in to that sort of thing). A field contains 25 squash, each of which is either a pumpkin or a zucchini. There are more pumpkins than zucchini. If you go into the field and select two squash at random, the probability...
by John Ehrke | Oct 8, 2021 | Problem of the Week
Given the following, find r. Solutions are due to mathpotw@acu.edu by 5:00 PM on Thursday, October 14. Blessings! No correct solutions were submitted. Solution
by John Ehrke | Oct 1, 2021 | Problem of the Week
Problem 3: A Three Digit Number I am thinking of a three digit number. If you subtract 7 from it, the result is divisible by 7; if 8, divisible by 8; and if 9, divisible by 9. What is the number? Explain how you arrived at your answer. Please submit all problem...
by John Ehrke | Sep 3, 2021 | Problem of the Week
Leaving For London A version of this problem is attributed to Edouard Lucas, a French nineteenth-century mathematician. Every day at noon a ship leaves London for New York and another ship leaves New York for London. The trip lasts 7 days and 7 nights. How many New...
by John Ehrke | Nov 13, 2020 | Problem of the Week
A Fractional Sum Given a positive integer n, which integers can arise as the sum where xi is a strictly increasing sequence of positive integers? Please submit all solutions to mathpotw@acu.edu by 5:00 PM on Thursday, Dec 2nd. This will be our final problem of the...
