Problem 5 Six boxes contain apples, bananas, and cucumbers. The number of apples in each […]
Problem 1 A palindrome is a positive integer number that remains the same when its […]
Problem 1 Let us call a natural number interesting if any of its two consecutive […]
Wilson’s Theorem states that
Problem 4 The six-pointed star is regular with all the interior angles of the
Problem 1 Find all triples
Let some quantity
Problem 1 How many sets of integers greater than
Problem 1 A subset of
Problem 1 Let
Problem 1 Positive integers
Problem 1 Let
Problem 1 Positive integers
Complementary Counting consists in counting the total number of elements (universal set) and subtracting the […]
Diophantine equations are equations that are solved in integer numbers. We can solve some diophantine […]
Diophantine equations are equations that are solved in integer numbers. We can solve some diophantine […]
Problem 1 Let
Problem 4 How many numbers
Problem 1 Ana and Beto are playing a game. Ana writes a whole number on […]
Titu’s Lemma states that for all positive real numbers
Diophantine equations are equations that are solved in integer numbers. We can solve some diophantine […]
Bernoulli’s Inequality states that for real numbers
Problem 1 Let
In order to find the derivative
Day 2 Problem 1 Consider a triangle
Day 1 Problem 1 A four-digit positive integer is called
Let
AMC 8 Preparation Book presents the most popular methods and techniques that are used to […]
Let
An invariant is a quantity or a property of an object that is unchanged under-considered […]
Euler’s Theorem states that for a positive integer
Bezout’s Identity states that for any natural numbers
Mathematical Induction is used to prove that the statement of the problem
Mathematical Induction is used to prove that the statement of the problem
Mathematical Induction is used to prove that the statement of the problem is true for […]
Mathematical Induction is used to prove that the statement of the problem is true for […]
Problem 1 We have
Inequality of Arithmetic and Geometric Means (AM-GM) states that for all positive real numbers
Inequality of Arithmetic and Geometric Means (AM-GM) states that for all positive real numbers
Inequality of Arithmetic and Geometric Means (AM-GM) states that for the positive real numbers
