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:_________