Trace: • fall2015
Table of Contents
Balls
Place 10 balls in 5 lines in such a way that each line has exactly 4 balls on it.
House Numbers
In a neighborhood, each person needs to have a house number (in words) at their doors. At the store where the letters are bought, each letter is a different cost. Mike, who lives in the neighborhood, goes to buy letters for his house number and finds three of his neighbors in line to get theirs. The first neighbor's house number is “ELEVEN” and he paid $5, the second neighbor's is “ONE” and he paid $2, and the third neighbor's is “TWO” and he paid $3. If Mike's house number is “TWELVE”, how much did he spend on those letters?
Missing Dollar
Three people check into a hotel room. The clerk says the bill is $30, so each guest pays $10. Later the clerk realizes the bill should only be $25. To rectify this, he gives the bellhop $5 to return to the guests. On the way to the room, the bellhop realizes that he cannot divide the money equally. As the guests didn't know the total of the revised bill, the bellhop decides to just give each guest $1 and keep $2 as a tip for himself. Each guest got $1 back: so now each guest only paid $9; bringing the total paid to $27. The bellhop has $2. And $27 + $2 = $29 so, if the guests originally handed over $30, what happened to the remaining $1?
Parking number
Milkman
A milkman has two empty jugs: a three gallon jug and a five gallon jug. How can he measure exactly one gallon without wasting any milk?
Frequent number
What digit is the most frequent between the numbers 1 and 1,000 (inclusive)?
2014
Create 2014 using the numbers 2,3,5,7 using addition, multiplication, and/or, exponentiation.
Triangle Man Puzzle
Six coins make the Triangle Man shown in the illustration.
The coins form three identical equilateral triangles as shown with the dotted lines. Rearrange the coins into another shape with three equilateral triangles, each with a different size. You may only move one coin at a time so that in its new position it touches at least two other coins.
*Be sure to update the “Question Asked” table! **/
Questions Asked
| Junming Diao | 1 |
| Mark Ruzindana | 2 |
| Dr. Jeffs | 1 |
| Richard Black | 0 |
| Dr. Warnick | 3 |
| Mitchell Burnett | 3 |