Fermi Problems (C division)

Utah Science Olympiad                                      

Weber State University

March 6th, 2004                                    

 

 

Team number:                               _____

 

Team members:    __________________________                   

 

                                __________________________

 

School:                   __________________________________

 

 

INSTRUCTIONS: For each of the following descriptions, fill in an answer with a number representing the factor that 10 is raised to most closely approximate what is described.  For example, to represent the area of a 2300 square foot house, you would answer “3”, since 2300 is 2.3 × 103.  If a number is something like 7000, you should actually answer “4” since 7000 is 7.0 × 103, which is closer to 104 than it is to 103.  You will be given 5 points for each correct answer, 3 points for each answer that is off by only one factor of ten, and 1 point for each answer that is off by only two factors of ten.  You have 30 minutes to complete as many of the 30 answers as possible.  You may use scratch paper, pencil, eraser, and your partner; but you may not use calculators, computers, references, or any other outside information.

Do not turn the page until told to do so.


 

Fermi Problems (C division)                                                   

Utah Science Olympiad                                                                              

Weber State University                                                                                                                    

March 6th, 2004                                                         

 

 

 

Description

Answer

Score

1.         

 

Our current elevation above sea level (in meters):

 

 

2.         

The area of an average adult’s skin (in square meters):

 

 

3.         

Number of gallons of ice cream consumed in Utah last year:

 

 

4.         

Volume of Earth (in cubic meters):

 

 

5.         

Number of tennis balls that could fit into this room:

 

 

6.         

Number of letters in the alphabet:

 

 

7.         

How many dollars would each person on this planet possess if there were a "mole" of dollars to distribute?

 

 

8.         

Number of births per year in world:

 

 

9.         

Number of frames in a 2-hour long motion picture:

 

 

10.    

Number of stars viewable to the naked eye on a clear, dark night:

 

 

11.    

Number of hairs on the average human head:

 

 

12.    

Ratio of age of universe to age of a human lifespan:

 

 

13.    

Height of a piece of paper if it could be folded in half 50 times (in meters):

 

 

14.    

Number of cellular phones currently used in the U.S.:

 

 

15.    

Number of motor vehicles in the world:

 

 

16.    

Total length of wire on spool (sitting on desk in this room), in meters:

 

 

17.    

Tons of gravel held in the back of a dump truck:

 

 

18.    

Time it takes light to travel from Mars to Earth (in seconds):

 

 

19.    

Number of cockroaches in the U.S.:

 

 

20.    

Mass (in kilograms) of exhaust produced by one tank of gasoline burned by a large truck/SUV:

 

 

21.    

The power output of the Sun is 400-trillion-trillion Watts.  How many incandescent light bulbs would be necessary to output energy at the same rate?

 

 

22.    

Time (in seconds) spent sleeping over an entire lifetime:

 

 

23.    

Fraction of one year equal to one second:

 

 

24.    

Total energy exhausted by one person in a lifetime (in food calories):

 

 

25.    

Area (in square meters) of entire human population if everyone crowded together:

 

 

26.    

Total area of Earth (in square kilometers):

 

 

27.    

Gallons of soft drinks consumed in the U.S. each year:

 

 

28.    

Speed at which human hair grows (in meters per second):

 

 

29.    

The thickness of rubber (in meters) lost with each rotation of a car’s tire on the road:

 

 

30.    

Number of electrons in a liter of water: