**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?

___________

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?

___________