PROBLEMS ... PROBLEMS ...

Two problems for you to solve. Don’t forget to let me know who you are when you leave your answer. Three people who answer the most number of questions correctly by the end of this semester will get prizes from me.

 1.         There is a card for each number from 1 to 100. By taking out some cards with   consecutive numbers, the resulting sum on these cards is 50. What could the cards have been? 

                  
                       1,   2,   3,   4,   5,   ...,   98,   99, 100

2.          Mysterious calculations:

                                37 x 3 =

                                37 x 6 =

                                37 x 9 = 

                                37 x 12 =        

              What number patterns did you discover?