HUES 6th Grade Math Choice #12 18-Apr-2000

Hollis Upper Elementary School, Hollis, New Hampshire

1. 1995-96 Annual 6th grade math contest

1.16. The Binary Berry Bush has twice as many berries each year as the previous year.
If it has 1 berry when it is one year old, then at least how old must it be to have
more than 100 berries?

1.35. There are 30 students in a gym class.  Which could be the ratio of boys to girls -
2:3, 3:5, 2:6, 3:4?

1.36. If 1 + 2 + 3 + ... + 99 + 100 = 5050, what is the value of
1000 - 1 + 1000 - 2 + 1000 - 3 + ... + 1000 - 99 + 1000 - 100?

2. 1994-95 Annual 6th grade math contest

2.16. 10 quarters + 10 nickels + 10 pennies has the same value as how many dimes?

2.35. The length of a side of square S and a radius of circle C are equal.
What is the area of C divided by the area of S?

2.38. I made a list of three-digit whole numbers, and every digit I used was odd.
At most how many different numbers were on my list?

3. 1993-94 Annual 6th grade math contest

3.18. Sue is 11 years old and her sister is 7 years old.
What will be the sum of their ages when Sue is 26 years old?

3.32. If an equal number of 3's, 5's, and 7's are added together to get 105,
what is the total number of 3's used in the sum?

3.40. For any number N, let #(N) be the number of prime numbers less than or equal to N.
What is #(8620) - #(8614)?

Source: The Math League
http://www.mathleague.com

Don Braffitt