	Philadelphia Math Trail: Antique Row

Intermediate: Solve this problem: 1. The total volume of all of the teacups plus the teapot is 60 ounces. 2. The volume of the sugar bowl is twice the volume of a teacup. 3. The volume of one teacup plus the sugar bowl is 18 ounces. What is the volume of the teapot?




Elementary: How many different ways could you arrange these four tiles in a square pattern?					Intermediate: What two measurements could you make to determine what percent of the bottom right tile is colored dark blue?


Elementary/Intermediate: Name the similar and congruent shapes that you see.



Intermediate: What is the slope of the rail? How is it related to the dimensions of the steps?



Elementary: Do you think the smallest oval is similar in shape to the largest oval? How would you find out?					Intermediate: Measure the height and width of the oval shapes, and then find a way to create an ellipse that has those same dimensions.



Elementary/Intermediate: Is it possible that there is a mile's worth of string in this lampshade? Explain how you decided.


Elementary/Intermediate: Count the number of pendants in each of the four circles. Is there a pattern in those four numbers?



Elementary: Are these two gates congruent?



Elementary: Name all of the geometric ideas you see here, and where you see each one.



Intermediate: 1. Find these ratios: a) The width of the small box to the width of large box. b) The area of the top of the small box to area of the top of the large box. c) The volume of the small box to volume of the large box.