HIGHLINE SCHOOL DISTRICT                                               School:  __________________

 2

SECOND YEAR MATH OLYMPIAD  March 21, 1998

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?

___________

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?

___________

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

___________

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?

___________

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?

___________