Side of Triangle : AMC 10B, 2011 – Problem 9

What is Area of triangle? The area of a triangle is defined as the total space that is enclosed by any particular triangle. The basic formula to find the area of a given triangle is $A = 1/2 × b × h$, where $b$ is the base...

Parity from 2020 AMC 10A Problem – 18

What is Parity? In mathematics, parity is the property of an integer’s inclusion in one of two categories: even or odd. An integer is even if it is divisible by two and odd if it is not even . Try the problem Let $(...

Pigeon Hole Principle Problem-11 from 2011 AMC 10B

What is The Pigeon Hole Principle? The Pigeon Hole Principle (also known as the Dirichlet box principle, Dirichlet principle or box principle) states that if $ \textbf n+1 $ or more pigeons are placed in $ \textbf n $ holes, then one hole must contain two or more...

AHSME 1970 – Probability – Problem 31

What is Probability? Probability is a branch of mathematics that deals with calculating the likelihood of a given event’s occurrence, which is expressed as a number between $1$ and $0$. … Each coin toss is an independent event; the outcome of one...