Elementary POW, December 18, 1995 - January 5, 1996


Elementary POW Problems || October-December, 1995 Problems || Elementary POW Main Page

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Because of the holiday, this week's problem will not be due until January
5, 1996.

Elementary Problem of the Week, December 18 - January 5, 1996

This week's problem was submitted by Jason Imbrogno, a 5th grader at
Burchfield Elementary School, Shaler Area School District, Allison Park,
PA.

This is a three digit number.
The hundreds digit in this number times the tens digit gives you an answer.  
This answer's ones digit is the one's digit numeral in this three digit
number.
The tens digit in this number times the ones digit gives you an answer.  
This answer's ones digit is the same as the hundred's numeral in this three
digit number.
This three digit number's ones digit plus the hundreds digit gives you an
answer.  
This answer is one more, when you're counting, than the tens digit.
When the three digits in this three digit number are all added, the answer
is odd.
The ones and hundreds digits in this three digit number are even.  
The tens digit in this three digit number is odd.
The tens digit minus the ones digit, times the hundreds digit gives you an
answer.  
This answer is a one digit number.

What is the three digit number?

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This week's Bonus Puzzler is called, "The Man with the Wood."  It was
submitted by Joanne Lee, Mount St. Joseph Academy, Flourtown, PA.

A man had some wood.  On Monday it was in the shape of a cube.  On Tuesday,
he changed it into the shape of a cylinder, and on Wednesday, he changed it
into the shape of a pyramid.  He did not cut or carve the wood into these
shapes.  How did he do it?

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Correct Solutions submitted by:



Brittany Kress
Grade 5
Marzoff Elementary School
Pittsburgh, PA

**************

Bagnall School
Groveland, MA
Grade 4
Nick S., Julia C., Mike D.
Hilary Seager

**************

Daniel Coletta  
Joyce Kilmer School 
Mahwah, New Jersey  Grade 5



Highlighted Solutions


The number is 298.

2 x 9 = 18
9 x 8 = 72
8 + 2 = 10
2 + 9 + 8 = 19
9 - 8 = 1
1 x 2 = 2

Brittany Kress
Grade 5
Marzoff Elementary School
Pittsburgh, PA

****************

Bagnall School
Groveland, MA
Grade 4
Nick S., Julia C., Mike D.
Hilary Seager

        all 3 of us got 298 for an answer.  We looked at clue # 4 and 
figured out 14 numbers that would work. Then we looked at clue 3 and 
tried each possibility and eliminated some. Then we checked those left 
with clue 8 and got the answer.

******************

Daniel Coletta  
Joyce Kilmer School 
Mahwah, New Jersey  Grade 5
My answer for the Elem POW 12/18-1/5 is 298.
First I wrote down what each digit in the answer could be. 496, 892, 298, and
396.  Then I wrote down all the numbers that it could be from the first three
clues.  Then I saw which ones matched, then tested those numbers for the
final clues until every number was eliminated except for 1.   

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