HIGHLINE SCHOOL DISTRICT                                               School:  __________________

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FIRST YEAR MATH OLYMPIAD  March 21, 1998

                                                                                                                               Grade:  _________

Number Sense

                                                                                                                Team Number:  _________

 

1.         Each letter is a different digit between 0 and 9.  What digit does the letter L represent?

 

               A C E P

            + A C E P

            P L A C E

 

 

 

 

                                                                                                                                         ___________

 

2.         23 means 2 x 2 x 2 or 8

            33 means 3 x 3 x 3 or 27

            N3 means N x N x N

            If N3 = 4913 then what is the value of N?

 

 

 

 

                                                                                                                                         ___________

 

3.         3,  6,  9,  12   are some multiples of 3. 

How many multiples of 3 are there between 10 and 226?

 

 

 

 

                                                                                                                                         ___________

 

4.         The sum of 5 consecutive even integers is 10.  What is the smallest of these integers?

 

 

 

 

                                                                                                                                         ___________

 

5.         When the sum of two whole numbers is multiplied by the difference of the numbers, the result is 85.  If the difference of the two numbers is not 1, what is their sum?

 

 

 

 

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