HIGHLINE SCHOOL DISTRICT                                               School:  __________________

2

 
SECOND YEAR MATH OLYMPIAD  March 21, 1998

                                                                                                                               Grade:  _________

Number Sense

                                                                                                                Team Number:  _________

 

1.         Gleemy Toothpaste is on sale at the local Drug Mart.  Rene needed toothpaste, but he wasn't sure which size was the better deal.  If a 6 ounce tube costs $1.09 and an 8 ounce tubes costs $1.45, which is the better buy?

 

 

 

 

 

 

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2.         A printer has to number the pages of a book from 1 to 150.  If the printer uses a separate piece of type for each digit in each number, how many pieces of type in all will he have to use?

 

 

 

 

 

 

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3.         How many prime factors do the number 3570 and 4290 have in common?

 

 

 

 

 

 

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4.         The staircase shown in the diagram is 4 units tall and contains 10 unit squares.  If the staircase were extended until it was 12 units tall, how many unit squares would it contain in all?

 

 

 

 

 


 


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5.         The sum of the first twenty-five natural numbers is 325:

            1 + 2 + 3 + 4 + ... + 24 + 25 = 325

 

            What is the sum of the next twenty-five natural numbers?

            26 + 27 + 28 + 29 + ... + 49 + 50?

 

 

 

 

 

 

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