Wednesday, April 29, 2015

Statues in London

Statues and monuments are common in the historic city of London.

Develop a mathematical model for best view of a statue. Your model should comprise of an equation to suggestion the best location to stand to view a statue of a certain height x placed on a pedestal of a height h. 

Location | Buckingham Palace in London

Monday, April 20, 2015

Football Club in Cardiff

Cardiff City F.C. played in the Premier League for the first time in 2013-14 season. At the end of that season, Cardiff City F.C. finished 20th, collecting only 7 wins and 30 points. In soccer, a win earns a team three points and a draw, one point. No point is awarded for losses. 

Which of the following questions can be answered without using information other than those given?

(a) How many times did it draw in that season?
(b) How many times did it win in that season?
(c) How many times did it lose in that season?

Location | Cardiff City F.C.

Saturday, April 18, 2015

Shoe Shine in Chicago

At the rate of $6 for shoes and $8 for boots, how much could the shoeshine man make from polishing shoes and boots (excluding tips)? I heard four travelers arguing. 

Anne thinks that the amount has to be a multiple of 6 and 8. Ben thinks it has to be s multiple of 6 or 8. Cheryl thinks it has to be a multiple of 14. Dan thinks it can be any number. Who is/are correct? 

Location | O'hare Airport 

Sunday, April 12, 2015

Statues in Bangkok

At 39.5 cm, this piece of art is exquisite. But it is not in any museum. It was impounded by a Samut Prakan police station and is now sitting in some storage place in another province. I wonder what's the story.

There are five rows of smaller Buddhas forming the base. 11 statues on the lowest base and one fewer in each successive steps. How many smaller Buddhas make up the base? What if the height of the entire work is doubled by keeping the height of the largest Buddha and increasing the height of the base - how many small Buddha statues are needed on the lowest step? 

Location | Siam Paragon, Bangkok

Prayers in Osaka

Friday, April 3, 2015

Homes in Ridgefield

Many of the homes lining Main Street of Ridgefield have cones and pyramids sitting on cylinders and prisms.