## Problem of the Week (27)

A logician vacationing in the South Seas finds himself on an island inhabited by the two proverbial tribes of liars…

## Problem of the Week (26)

Donald draws ten mathematical objects that can be labelled from . He puts them into a natural sequence as follows:…

## Problem of the Week (25)

What is the hundreds digit of ? Source: 2019 AMC 10A Happy problem solving! Email your solutions to [email protected]

## Problem of the Week (24)

Compute the least positive integer for which and are prime but and are composite. Source: ARML Local 2020 Happy problem…

## Problem of the Week (23)

Emilia wishes to create a basic solution with 7% hydroxide (OH) ions. She has three solutions of different bases available:…

## Problem of the Week (22)

Find the number of real numbers that satisfy the equation: Happy problem solving! Email your solutions to [email protected]

## Problem of the Week (21)

A triangle has sides of length 10, 10, and 12. A rectangle has width 4 and the same area as…

## Problem of the Week (20)

What is to 3 s.f.? (you may find technology rather helpful) Source: Ritangle 2019 Happy problem solving! Email your solutions…

## Problem of the Week (19)

A bus in Springfield has a maximum capacity of 40 passengers. The bus begins its route with . At the…

## Problem of the Week (18)

Let n be the smallest positive integer with exactly 2015 positive factors. What is the sum of the (not necessarily distinct) prime…

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