In The News... - The Problems
August 4, 2008

 

   

Last week, California experienced an earthquake that measured 5.4 on the Richter scale. The USGS estimates that there are 3 million earthquakes every year, most are just too slight to feel or occur in uninhabited locations. If 3 million earthquakes occur every year, on average how many earthquakes occur in one month?


How many occur each day during a regular (non-leap year) year? Express your answer as a decimal to the nearest tenth.
Scrabulous, a popular online version of Scrabble, was forced to close to American and Canadian use due to a lawsuit over copyright issues. Not only was the name too similar to Scrabble’s for Hasbro’s liking, the board and pieces were identical to Scrabble’s board and pieces. Selena is going to randomly draws 3 letter tiles without replacement from a full set of Scrabble letter tiles (the number of tiles containing each letter is shown below). What is the probability that she draws the letters B-L-E in order (the letters removed from “Scrabble” before -ulous was added to create “Scrabulous”)? Express your answer as a common fraction.

 

A-9   B-2   C-2   D-4   E-12   F-2   G-3   H-2   I-9   J-1   K-1   L-4   M-2   N-6   O-8   P-2   Q-1   R-6   S-4   T-6   U-4   V-2   W-2   X-1   Y-2   Z-1   Blank-2


It was one week before the commencement of the 2008 Olympics in Beijing, and the city was still covered in thick smog. In an effort to improve air quality, China adopted a restricted driving policy that keeps 1/3 of its vehicles off of the road on any given day. If air quality does not improve, China plans to use measures to further reduce the number of vehicles on the road by 10% of the already decreased level. If this measure is put in place, by what percent will the original number of vehicles theoretically be reduced?
The solutions to this week's problems will be posted in the archive on Monday, August 11th, 2008.

 

2008 Problems & Solutions

 

January 7, 2008
Elections
Problems
Solutions

 

January 14, 2008
Hat Day
Problems
Solutions

 

January 21, 2008
Martin Luther King, Jr. Day
Problems
Solutions

 

January 28, 2008
Logic!
Problems
Solutions

 

February 4, 2008
Happy Groundhog Day
Problems
Solutions

 

February 11, 2008
...and the democratic race continues...
Problems
Solutions

 

February 18, 2008
MATHCOUNTS Club Program!!
Problems
Solutions

 

February 25, 2008
Space Junk
Problems
Solutions 

 

March 3, 2008
Leap Year!!
Problems
Solutions

 

March 10, 2008
Pi Day!
Problems
Solutions

 

March 17, 2008
St. Patrick's Day
Problems
Solutions

 

March 24, 2008
Let's Go Fly A Kite
Problems
Solutions

 

March 31, 2008
Springtime & Baseball
Problems
Solutions

 

April 7, 2008
Idol Gives Back
Problems
Solutions

 

April 14, 2008
State Competition
Problems
Solutions

 

April 21, 2008
Elections
Problems
Solutions

 

April 28, 2008
The Housing Market
Problems
Solutions

 

May 5, 2008
Gasoline
Problems
Solutions

 

May 12, 2008
Countdown Round
Problems
Solutions 

 
May 19, 2008
Mission to Mars
 
May 26, 2008
Holiday Travel
 
June 2, 2008
Stonehenge
Problems
Solutions

June 9, 2008
And Then There Were Two...
 
June 16, 2008
Father's Day
Problems
Solutions

June 23, 2008
Patterns and Sequences
 
June 30, 2008
Footprints Found
Problems
Solutions 
 
July 7, 2008
 
July 14, 2008
Happy Birthday Tai Shan!
 
July 21, 2008
Seven
Problems
Solutions
 
July 28, 2008
The Value of a Month
 
August 4, 2008
In The News...
Problems
Solutions
 
August 11, 2008
The Ever-Changing Olympics
 
August 18, 2008
The Water Cube
Problems
Solutions
 
August 25, 2008
New School
 
September 1, 2008
 
September 8, 2008
The Issues By The Numbers
 
September 15, 2008
Down In The LHC
 
September 22, 2008
Miniature Golf
Problems
Solutions
 
September 29, 2009
Fall Function
Problems
Solutions
 
October 06, 2008
National Metric Week
Problems
Solutions
 
October 13, 2008
Mammals and Math
Problems
Solutions
 
October 20, 2008
 
October 27, 2008
Happy Halloween
Problems
Solutions
 
November 03, 2008
 
November 10, 2008
Decision 2008
Problems
Solutions
 
November 17, 2008
Patterns & Logic
 
November 24, 2008
Thanksgiving
Problems
Solutions
 
December 1, 2008
Black Friday/Cyber Monday
Problems
Solutions
 
December 8, 2008  
Rockefeller Center Christmas Tree
Problems
Solutions

December 15, 2008
Snowman Geometry
Problems
Solutions

December 22, 2008
Yarn, Yarn and More Yarn
Problems
Solutions
 
December 29, 2008
Happy New Year!
Problems
Solutions 
 

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