HIGHLINE SCHOOL DISTRICT School: _________________

SECOND YEAR MATH OLYMPIAD March 25, 2000

2

Team Number: ___________

Algebraic Sense

1. If you take half my age and add 18 to it you get 24. How old am I?

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2. My grandfather's farm has pigs and chickens. I counted a total of 70 legs and 26 heads. How many chickens does my grandfather have?

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3. A certain shade of violet is created by mixing 3 gallons of red paint with every 5 gallons of blue. How many gallons of red paint do you need to mix 40 gallons of this color?

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4. I am thinking of a number. If you subtract 3 from it and then multiply by 8, you get 592. What is my number?

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5. Tom went to a store and spent one-third of his money. He went to a second store where he spent one-third of what remained. He had $12 left. How much money did he have to begin with when he went to the first store?

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