HUES 6th Grade Math Choice #10 14-Mar-2000

Hollis Upper Elementary School, Hollis, New Hampshire


1. Which number comes next in the sequence?

1A. 3, 4, 6, 8, 12, 14, 18, 20, ?
1B. 0, 3, 8, 15, 24, 35, 48, 63, 80, ?
1C. 10, 8, 6, 4, 2, 0, ?



2. 1986-1986 6th grade math contest

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



3. RUNSUMS, Part 2

Remember that a RUNSUM of a number A is a sequence of numbers which add up to A.
For example: 9 = 2 + 3 + 4 and 9 = 4 + 5.

3A. 27 has 3 different RUNSUMS.  What are they?
3B. What is the smallest number with 3 different RUNSUMS?
3C. Can you find a number with 4 different RUNSUMS?
3D. What is the smallest number with 5 different RUNSUMS?

Source: The Math Forum
           http://forum.swarthmore.edu/midpow/solutions/solution.ehtml?puzzle=19



 

Don Braffitt