Elementary POW, October 2-6, 1995
Elementary POW Problems || October-December, 1995 Problems || Elementary POW Main Page
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Elementary Problem of the Week, October 2-6, 1995
This week's problem was submitted by Katie Flanagan, Grade 11,
Mount St. Joseph Academy, Flourtown, PA.
The Philadelphia Eagles football team are down by 15 points but they still
have an entire half to score. How many, and what combinations of points
can you think of that will tie the score?
**Hint 1. touchdown = 6 points
2. after a touchdown, the team can either
a. kick (PAT - point after touchdown) = 1 point or
b. run or pass (2 point conversion) = 2 points
3. field goal = 3 points
4. safety = 2 points
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Bonus PUZZLER submitted by Ian Puckett & Vadim Alaverdov
Mr. Matt Gehrett's class - Ridgeview High School, Bakersfield, California
A room has four corners. In each corner there is a cat. In front of each
cat there are three more cats. How many cats are in the room altogether?
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Cathy Weir's class
Grade: 4
School: Baywood School, San Mateo, CA
Students: Brock Parsons, Mark Petrakis, Cynthia Ruiz, Roshni Summan
School: Center School, Stow MA
Mrs. Kelley's 5th grade class
Students: Burke O'Connell, Amanda Fryatt, Katie Johnson, Michael Farrar
Ms. McCarthy's class 5th Grade class
Students: Gavin Robinson
Mrs Walton's class
Students: Becky Cornell and Cassy DeBenedetto, Tony Bonitatibus, Zach Maule
St. Mary's School, Ticonderoga, NY
Mrs. Joanne Cook
John Olsen and Alex Michalak of Grade 5
William Vilardo of Grade 3
Grady A. Brown Elementary School
Hillsborough, North Carolina, USA
Students: Jenna and Jessica.
Nora Paul-Schultz, 4th Grade, School in Rose Valley
Pat Hagan's 6th Grade Class
BONUS PUZZLER:
There was only one correct submission for the bonus puzzler.
It was the first solution "brainstormed" by Pat Comerford-Haley's 4th
Grade class from Court St. School, Lancaster, NY.
John Olsen and Alex Michalak of Grade 5 report:
1. a touchdown and extra point and another touchdown and two point conversion.
2. two touchdowns and a fieldgoal.
3. six safetys and a fieldgoal.
4. five fieldgoals.
5. three field goals and three safetys
6. two touchdowns won with an extra point the other one they missed but they
got a safety.
7. one touchdown and 3 fieldgoals.
8. touchdown with an extra point and a safety and two fieldgoals.
9. touchdown and extra point safety and 2 fieldgoals.
10. a touchdown with 3 safetys and a fieldgoal.
11. touchdown with a two point conversion with two safetys and a fieldgoal.
12. touchdown, 2 fieldgoals and two safetys.
13. touchdown with a extra point two field goals and a safety.
14. 2 safetys and a fieldgoal with a touchdown and two point conversion.
15. Two touchdowns won with an extra point, the other one he missed the
extra point but he got a safety
16. a touchdown , 3 safetys and a two point conversion.
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Baywood School, San Mateo, CA
Grade: 4
Name: Brock Parsons
Mark Petrakis
1. 2 touchdowns a Pat, and a run pass.
2. 2 touchdowns, 1 Pat, and 1 safety
3. 2 touchdowns, 1 field goal
4. 1 TD, 2FGs, 1 Pat
5. 4 Safeties, 1 TD and 1 Pat
6. 2 TD and 1 Pat
7. 5 FGs
8. 2 FGs, 3 Pats, and a TD
9. 5 rp's, 2 safeties, and 1 Pat
10. 1 TD, 3 FG
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Answers to Elementary Problem of the Week - October 6th
From: Center School, Stow MA
Grade 5 - Mrs. Kelley's class
>From Amanda Fryatt -
(Great job! Letter i is not possible though because you can only kick for
1 point after each touchdown.)
1. a. 1 TD + 4 safetys + l point after kick
b. 2 TD + l conversion (2 pts) + l point after kick
c. 2 TD + 1 field goal
d. 1 TD + 1 field goal + 2 safetys + 1 conversion (2 pts)
e. 1 TD + 3 field goals
f. 2 TD + 1 safety + 1 point after kick
g. 1 TD + 1 field goal + 3 safetys
h. 5 field goals
i. 1 TD + 2 field goals + 3 point after kicks
j. 6 safetys + 1 field goal
k. 3 field goals + 3 safetys
Grade 5 - Ms. McCarthy's class
>From Gavin Robinson -
1. a. 2 TD + 1 field goal
b. 2 TD + 2 pt conversion + l point after
c. 5 field goals
d. 1 TD with an extra point + 4 safetys
Grade 5 - Mrs Walton's class
Tony Bonitatibus - the way the Eagles can tie is:
1. a. 2 TD with no extra points + 1 field goal
b. 5 field goals
c. 2 TD + 1 point after + 2 pt conversion
d. 6 safetys + 1 field goal
e. 3 field goals + 1 TD
f. 2 TD + 1 extra point + 1 safety
g. 3 safetys + 1 TD + 1 field goal
h. 4 safetys + 1 TD with an extra point
i. 2 field goals + 1 TD with a point after + 1 safety
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From Nora Paul-Schultz, 4th Grade, School in Rose Valley
1. 2 touchdowns, 1 field goal
2. 5 field goal
3. 1 touch down with a run or a pass and another touchdown with 1 point
after touch down.
4. 1 touchdown with 1 PAT and 2 field goal 1 safety
5. 2 touch down, 1 PAT, 1 safety
6. 1 touch down, 3 safety, 1 field goal
7. 3 field goal, 3 safety
8. 6 safeties, 1 field goal
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From: lkubik@stech.cnidr.org (Linda Kubik)
We found 8 answers to the problem of the week. (10/2/95) We are at Grady
Brown Elementary School in Hillsborough N.C. Our names are Jenna and
Jessica. Here are our answers:
1. Get one touchdown, take the kick and miss, then get three fieldgoals. 2.
First you get one touchdown, then you get two points by run or pass, plus
get two safeties and one fieldgoal. 3. One touchdown and get one point for
a kick. Then four safeties. 4. Six safeties and one fieldgoal.
5. Two touchdowns. On the first one you kick for one point and on the
second one the second one get the two point conversion. 6. Two touchdowns.
Take the kick and miss both kicks. Then a fieldgoal. 7. 5 fieldgoals.
8. 1 touchdown get the kick. 1 safety and 2 fieldgoals.
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From: hagan@mathforum.org (Patricia Hagan)
Dear Ruth, My class worked on the Eagles problem today. I teach a sixth
grade middle school math class. Our school does not have an outside line
yet, so I have to send you the results. I gave the class 5 minutes to come
up with some combinations on their own. Then I put them in groups of 4 to
come up with a group list. Then each group shared some combinations from
its list. The fun part was watching the students correct one another when
one would suggest a combination of 15 after touchdown kicks without thinking
that you could only have a kick if there was a touchdown. They had to
rethink some of their combinations, but the class was able to come up with
ten on their own. I suggested they chart their combinations to make the
process a bit easier and they took advantage of the suggestions.
fg td k PorR
safety
1. 2 1 1 1
2. 1 2
3. 2 1 1
4. 1 1 3
5. 1 1 1 2
6. 3 1
7. 5
8. 1 1 4
9. 1 6
10. 2 1 1
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BONUS PUZZLER:
The only correct submission was the first solution "brainstormed" by Pat
Comerford-Haley's 4th Grade class from Court St. School, Lancaster, NY. There
are 4 cats in the room.
This response comes from Court St. School, Lancaster,NY Grade 4 Pat
Comerford-Haley's class. We have three responses:
1. If there's one cat in each corner and there are four corners, there are
four cats. If one cat is looking out, it will see the \ other three cats.
So, there are four cats in the room. Draw a picture of a square room.
2. Put one x in each corner to stand for a cat. Then, draw three more
x's in the middle of the room.We are putting them there so there will be
three cats in front of each cat. Add all the x's together, and your answer
will be seven cats in all.
3. There's four cats in the room - a cat in each corner. If a cat is
looking straight out, there are three MORE cats in front of him. So, that
means there's four cats to a corner. (1+3=4) Multiply 4 cats times 4
corners and your answer is 16 cats in all
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Katie Johnson. a 5th grader from Mrs. Kelley's class at Center School, Stow
MA writes:
There are 4 cats in each corner on the floor - therefore, 16
cats. If the room had a roof, that would create 4 more corners and 16
more cats for a total of 32 cats. However, if in front of each cat there
are 3 more cats - then the answer is INFINITY because the numbers would
go on forever or until the room got filled up!
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