WASHINGTON STATE MATHEMATICS COUNCIL
1999 MIDDLE SCHOOL MATH OLYMPIAD
SIXTH GRADE ALGEBRAIC SENSE
(Make sure you include the units in your answer!)

6

1. On a ranch in Australia there are ostriches (which have 2 legs) and kangaroos (which have 4 legs). There are a total of 128 ostriches and kangaroos. There are a total of 412 legs among them all. How many ostriches are on the ranch?

 

 

 

2. In the equation below, I want to add 1 to either a or b or c. Which one should I add the 1 to in order to get the biggest increase in P?

 

 

 

3.

Express your answer as a fraction in lowest terms.

 

 

 

4. Find x: x2 - 8 = 73

 

 

 

5. Find the length of the largest side of this rectangle. Its perimeter is 32 meters.