The broken matchsticks are exactly half the length of the full length matchsticks. How would you create 3 squares, all equal in size, with the 8 matchsticks? All matchsticks don't have to be flat on the surface.
1. The 4 matchsticks on the outside move clockwise (or anti-clockwise) one corner at a time.
2. The broken matchstick with head moves clockwise one corner at a time retaining the horizontal position with matchstick-head pointing to the right.
3. The broken matchstick without head moves back and forth from the bottom right corner to the top left retaining the vertical position.
Broken matchsticks WITH heads, broken matchsticks WITHOUT heads and the EMPTY squares each represent 3 different whole numbers. The numbers outside the square are the sums of each respective row and column. What are the values of the 3 whole numbers?
Shown above are 3 empty portrait frames of size 3X3 each.
How would you place these frames together in a way that will result in a figure that has 8 squares of any size? The 3 frames may overlap, but you may not change the shape or size of any frame. All matchsticks must be flat on the surface.