1.) Use the clues and the picture to determine the order of the kids:    
  a.)  Eric is between two girls.  
  b.)  Karla is the only one wearing a hat.  
  c.)  Two people are between Karla and Nina.  
  d.)  Eric is next to Nina.  
  e.)  Fran is on one of the ends.  
  f.)  There is one person between Todd and Britt.  
 
 
   
   
   
   
   
________   ________   ________   ________   ________   ________
   
2.) How can you make 5 twos equal five?  Here's a solution that uses 5 twos--plus mathematical symbols that make the equation true.
 
 
  ( 2 x 2 x 2 + 2 ) ÷ 2 = 5  
   
  For each of the two rows below, insert the mathematical symbols (+, -, ÷, x) that will make the equation correct for someone calculating from left to right.  Use parentheses if necessary.
 
 
   
  3   3   3   3   3 = 5  
   
  4   4   4   4   4 = 5  
   
3.) How can one cut 8 pieces from a round cake with three straight slices of a knife, without moving any of the pieces?
 
 
 
 
   
   
   
   
   
                                   
4.) Abigail, Bettina, Cynthia, and Dahlia all began piano lessons last year.  Cynthia took twice as many lessons as Bettina.  Abigail took 4 lessons more than Dahlia but 3 fewer than Cynthia.  Dahlia took a total of 15 lessons.
 
 
 
   
  How many lessons did Bettina take?  
   
   
   
                                   
5.) Suppose that 2 robots can build 12 toys per hour.          
   
  A. How many toys can 2 robots produce in 8 hours?  
  B. How many toys can 5 robots produce per hour?  
  C. How many robots are needed to produce 42 toys per hour?  
  D. How long will it take 5 robots to produce 60 toys?  
  E. How long will it take 6 robots to produce 18 toys?