**WASHINGTON STATE MATHEMATICS COUNCIL**

**1997 MIDDLE SCHOOL MATH OLYMPIAD**

**SIXTH GRADE NUMBER SENSE**

**SCHOOL ___________________________ TEAM_______ **

1). What is the smallest number that 2, 3, 4, and 6 all divide into
evenly?

Answer:_________

2). The sum of five consecutive odd integers is 65. What is the smallest
of the numbers?

Answer:_________

3). A, B, C, D, and E were elected in order. Candidate A got 30 votes.
B placed second. E was last with 3 votes. If 49 votes were cast and no
2 candidates had the same number of votes, what is the smallest number
of votes that B could have gotten?

Answer:_________

4). A cage at the Woodland Park Zoo in Seattle contains both wild turkeys
and white tailed deer. If there are a total of 54 eyes and 84 feet in the
cage, how many turkeys are in the cage?

Answer:_________

5). A cake is cut into 6 pieces. Five of the pieces are the same size,
and the sixth piece is 1/2 the size of the other 5 pieces. What fraction
of the cake is the sixth piece?

Answer:_________