**WASHINGTON STATE MATHEMATICS COUNCIL**

**1997 MIDDLE SCHOOL MATH OLYMPIAD**

**SIXTH GRADE FUNCTIONS & RELATIONSHIPS**

**SCHOOL ___________________________ TEAM_______ **

1). I have a number machine that takes in numbers and changes them to
other numbers. Look at this table of input numbers and output numbers,
and find what number comes out when you put in 7.

Answer:_________

2). Find the digits for the 7th row and write the sum of those digits.

Answer:_________

3). The ages of 3 children add to 32. The age of the oldest is twice
the age of the youngest. The ages of the 2 older children differ by 3 years.
What is the age of the youngest child?

Answer:_________

4). The long side of a rectangle is 3 times the length of the short
side. The perimeter is 72 cm. How long is the short side of the rectangle?

Answer:_________

5). A work team of 4 people completes half a job in 15 days. How many
days will it take a team of 10 people to finish the other half of the job?
All of the people on both teams work at the same rate.

Answer:_________