Lifelong learning is a contemporary concept around the idea that people gain knowledge and skills throughout their while life. In the context of modern knowledge society, lifelong learning is considered a critical factor for developing a successful ca-reer. Formal education is an important but still a small part of what people learn throughout their lives. On of the key qualities a lifelong learner should possess is motivation.

Dirichlet's principle, also known as the principle of drawers (allocation) in its most general formulation states: Suppose that several objects are arranged in drawers. If there are more items than drawers, then at least one drawer has more than one item.

Did you know that if you add the numbers from 1 to 100 you get 5050? And you don't have to count them one by one. You can use the famous Gauss method instead.

Many problems involve solving an equation with more than one unknown. Such equations are called indeterminate or Diophantine equations. The most famous mathematicians of antiquity - Pythagoras and Diophantus - dealt with such tasks, and therefore very often, instead of saying that we are solving indefinite equations in integers, we say that we are solving Diophantine equations.

Annie has a ribbon 12 meters long. How many cuts does Annie need to make to get ribbons of equal size 60 cm long?

Let's solve the following problem: Matchstick figures are arranged in the following shape. How many matchsticks are needed to arrange figure №22?

Let's solve the following problem: You have one 12 liter bucket full of water and two empty ones - 7 and 5 liters respectively. Divide the water into two equal parts using the available buckets.

Let's solve the following problem: Alex, Bobby and Victor are wearing green, red and white t-shirts. Alex doesn't wear red clothes. Victor doesn't like either red or green. What color is Bobby's shirt?

Let's solve the following problem: Two movie tickets and a box of popcorn cost $10. Lucy bought four boxes of popcorn and paid $8. How many dollars will he pay for a movie ticket?