## Problem of the Week (17th Jan, 2022)

The positive integers are the smallest that satisfy the equations: If , where and are positive integers, then what is ? Source: Ritangle, Stage 1,…

## Problem of the Week (10th January, 2022)

There are 8 lily pads in a pond numbered 1,2,…,8. A frog starts on lily pad 1. During the -th second,…

## Problem of the Week (13th December, 2021)

You have a sphere, the points on the surface of which can be colored white or black. You are told…

## Problem of the Week (6th December, 2021)

Given an infinite lattice of points, colored with 5 colors, prove that it is always possible to find a monochromatic…

## Problem of the Week (29th November, 2021)

Let be the positive integer , a -digit number where each digit is a . Let be the leading digit…

## Problem of the Week (22nd November, 2021)

There are 5 couples attending a party. Everyone shakes hands with the people they don’t know. John asks everyone at…

## Problem of the Week (Nov 15, 2021)

Three boys, Arthur, James, and Zain, are working on a set of math problems, each of equal difficulty. Together, they…

## Problem of the Week (Nov 8, 2021)

Paul starts at 1 and counts by threes: 1, 4, 7, 10, . . . . At the same time and at the same…

## Holiday puzzles

We at Problem of the Week would like to wish you a wonderful, very restful holiday! For those of you…

## Problem of the Week (41)

Chloé chooses a real number uniformly at random from the interval . Independently, Laurent chooses a real number uniformly at random…

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