# HUES 6th Grade Math Choice #2 11-Jan-2000

Hollis Upper Elementary School, Hollis, New Hampshire

1. Counting and spelling
Spell out the numbers starting with 1 (for example, 121 = one hundred twenty-one).
1A. What is the first number whose spelling includes the letter "a"?
1B. What is the first number whose spelling includes the letter "n" 7 times?

2. Alphametic - substitute a different digit for each letter

W R O N G
+ W R O N G
---------
R I G H T

2A. Can T be an odd number?
2B. Can H be an odd number?
2C. Can W be 0?
2D. What is the largest possible value for W R O N G?
2E. What is the smallest possible value for W R O N G?

Source: Suggested by Kimbee Mook (with I = 9)

3. 1994-1995 6th grade math contest
1994-1995 8th grade math contest (alternate problems)

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

4. Lawn Mowing Chore
At my house, summer vacation means added chores for my three sons. Saturdays the lawn must be mowed.  Mark starts the mower and completes 1/3 of the lawn. Sam takes over and mows exactly 1/4 of the grass.  Josh then finishes off the last 700 square feet of the yard.
4A. What is the area of my yard?
4B. Bonus: The boys devised the plan for dividing the work and consider it to be fair based on their ages. My youngest son is nine. Can you match the names and ages of my three sons? Don't forget to explain how you found your answer and let me know if you think that this is fair.

Source: The Math Forum
http://forum.swarthmore.edu/elempow/solutions/solution.ehtml?puzzle=40

Don Braffitt