### Five Squares in a Circle

Five identical squares are placed inside a circle of radius 10. If these squares do not overlap each other, what’s the largest side length for each square?

Showing posts from September 6, 2020

- Get link
- Other Apps

Five identical squares are placed inside a circle of radius 10. If these squares do not overlap each other, what’s the largest side length for each square?

- Get link
- Other Apps

a, b, and c are the three roots of 2x3 + 5x2- 19x - 42 = 0. What is (a + b + c)2?

- Get link
- Other Apps

ABCD is a rectangle, where AB = 4, and AD = 3. E and F are on AB and CD respectively. If ABCD is folded along EF, B and C meet. How long is the line segment EF?

- Get link
- Other Apps

The surface of a soccer ball is made of 32 pieces of polygons, which are regular pentagons and regular hexagons. Each pentagon is surrounded by 5 hexagons. How many pentagons are on a soccer ball?

- Get link
- Other Apps

Portland Trail Blazers is playing against Los Angeles Lakers in NBA playoff. The first team winning 4 games wins the series. If Trail Blazers has 40% chance to win Lakers in each game, what’s the probability that Trail Blazers wins the series?

- Get link
- Other Apps

Leo, Angela and Elon are playing pokemon cards. Each of them starts with a few cards in hand. After Leo gives Angela 6 cards, Leo and Angela have the same number of cards. Then Angela gives 6 cards to Elon, so that Angela and Elon have the same number of cards. Finally, Elon gives 3 cards to Leo. Now Leo has twice as many cards as Elon. How many cards does Leo have at the beginning?