Science Trivia Resume

It is a game that two players take some stones out of 33 stones in turn and the person who takes a stone remained at the end is defeated. The number of stones can be taken at a time is three or less one or more. Do you choose the first mover or second?

Triangle ABC is clockwise rotated around C.  Find the area where the side AB passes.

A～I expresses the number of either 1-9. The result of calculation shows as above. Find each number.

There is a square of 10 cm one side. Find the area of ​​the shadow.

What is represented by the area of the rectangle?

The figure shows two sectors with 12 cm in radius and 30 degrees of central angles. Find the area of the shadow. Pi is assumed to be 3.

One coin is fixed and another one is rolled and rotated one time so that it might not slide along with the circumference of the fixed coin. How many rotations of the rolled coin were made?

Board is riding on the roller.  When roller moves 10 cm, how long does the board move?

How long does the rope go away from the earth if I add a rope with the length of 6m to the rope which is rolled around the earth?  Assume the radius of the earth is 6,400km and Pi is 3 for calculation.

Where is the position of point maximizing the total length of vertical lines drawn inside equilateral triangle?

How to maximize the area of rectangle area in a triangle?