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 (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…
Problem of the Week (17)
Triangle ABC has AB = AC. Point D is on side BC so that AD = CD and ∠BAD = 36. Find the degree measure of ∠BAC. Source: Purple Comet, 2017 Happy problem solving! Email your…