2001 Washington State Math Championship

Unless a particular problem directs otherwise, give an exact answer or one rounded to the nearest thousandth.

Potpourri - Grade 5


1. Ferry boats are providing service between the mainland and Vancouver Island. They are scheduled to leave every hour from both the mainland and the island, and the trip takes one hour and 35 minutes. It also takes 20 minutes to off load and reload vehicles and passengers at each end of the journey. What is the minimum number of boats necessary to maintain this schedule?

2. How many perfect squares are between 1002 and 2001?

3. A number added to its reciprocal gives . What is the product of the number and its reciprocal?

4. Jack rides his bike for 20 minutes at 12 miles per hour. Then for an hour and a half he rides at 8 miles per hour, and finally for 24 minutes he rides at 15 miles per hour. How many miles has he traveled?

5. The first 4 dot patterns are shown. How many dots are in the tenth pattern?



6. The campers formed a circle and counted off by ones. If number 8 is directly across the circle from number 37, how many campers are in the circle?

7. According to the 1990 census the population center of the United States is moving 58 feet west and 29 feet south every day. On Census Day 1990 it was in Steelsville, Missouri. To the nearest mile, how far is the population center from Steelsville on Census Day 2000 (exactly 10 years later)?

8. What is the sum of the prime factors of 3,994,890?

9. If the digits 1-6 are each to be used once in the following multiplication problem, what is the difference between the minimum and maximum values of the product?



10. The first 4 designs are shown. How many dots will there be in the tenth design?