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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