Elementary POW, May 6-31, 1996
Elementary POW Problems || April-June, 1996 Problems || Elementary POW Main Page
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Elementary Problem of the Week, May 6-31, 1996
This is our last post for the 1995-1996 school year. Thank you for your
enthusiastic response to this project. It will definitely be continued next
year although I am not certain of the exact format. Suggestions for
improvement are most welcome. I am working on participation certificates as
well as special recognition certificates.
I am including 3 problems and will leave the time frame open for students
to work on at their leisure. We'll answer the solutions as they come in but
won't post the solution list until the end of the month.
-Ruth
**Problem #1** was submiited by Rachel Keimach, Heather Quigley, and Alison
Morse from Ms. Arria-Lucey's Grade 4, Bagnall School, Groveland, MA.
If Ken kicks a soccer ball at 20 mph, how long will it take for the ball to
travel 100 feet?
The answer should be in seconds.
Hint: There are 5,280 feet in one mile.
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**Problem #2**
This is called a Cross-Number Puzzle. The numbers are arranged to produce a
given result, but the arithmetical signs of the operations are missing.
Insert the signs of the operations in the given spaces to produce correct
answers both horizontally and vertically.
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* 1 * * 6 * * 2 * = * 3 *
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##### ##### #####
* *#####* *#####* *#####* *
##### ##### #####
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* 9 * * 2 * * 8 * = * 3 *
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##### ##### #####
* *#####* *#####* *#####* *
##### ##### #####
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* 5 * * 3 * * 2 * = * 6 *
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##### ##### #####
* = *#####* = *#####* = *#####* = *
##### ##### #####
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* 5 * * 6 * * 8 * = * 3 *
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**Problem #3** - (A tough nut to crack!)
Fill in each blank in the 2nd row with any one of the numbers in the top
row. (Repetition is allowed and you need not use every number).
The number you place in the blank in row 2 represents the number of times
the digit directly above it is used in row 2. For example, if you put the
number 4 in row 2 under the 0, this would mean that there are four 0's in
your answer on the bottom row.
Hint: Since there are only 10 blanks, the sum of the total number of times
a digit is used cannot be more than 10. Good Luck! You're a super sleuth if
you get this one.
0 1 2 3 4 5 6 7 8 9
- - - - - - - - - -
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***************************** Eli Baldwin (Questions 1,2, and 3) Mrs. Pensa's 3rd Grade Center School - Stow MA Ted Powers (Questions 1 and 2) Mrs. Pensa's 3rd Grade Center School - Stow MA ***************************** Christopher (Questions 1,2,and3) Mrs. Kaye's class Lincoln School Burlingame, CA ****************************** Amy Forster, age 11, (Questions 1,2,3) Home schooled Wilkins/Forster family Crooked Tree Point.Cygnet. Tasmania.Australia 7112. ***************************** Kim Nguyen (Question 2) grade is year 6. My teachers's name is Mr Hall. West Beechboro Primary School Perth, the capital of Western Australia ****************************** Kristen Dempsey (Questions 1,2, and 3), 5th Grade class (Question 2), Brandon, Lauren, Adrian, Kelsey, Christina, Elizabeth, Greg, Diana, and Kristen (Question 3) Hess Educational Complex Marianne Blair - Fifth Grade Mays Landing, NJ *************************** Esther and Clare (Question 1) St. Hilda's Western Australia Sophie (Question 3) St. Hilda's Western Australia ************************** Brian Stuart,Amanda Sprague, and Brooke Desper (Question 2) Mr. Dyer's Class Sea Road School Kennebunk,Maine ************************ Sam Hahn (Questions 1 and 2) Miss McCarthy's 4th grade Center School Stow, MA ********************** Kevin LaFrance and Mike Bianchi (Question 2) Miss Flynn - Grade 5 Bagnall School, Groveland, MA Chris Belkas and Dan Kinch (Question 2) Mrs. Sturtevant - Grade 4 Bagnall School, Groveland, MA Justin, Ashley, Andrew, Ian, Colin, Nicole, Brian Q, Nora, Shannon and Sarah, Rebecca and Jen, Shauna, Becky, Brain G. (Question 2) Mrs. Caruso - Grade 6 Bagnall School, Groveland, MA
***************************** Eli Baldwin - Mrs. Pensa's class 3rd grade - Center School - Stow MA 1.I know that he hit it at 20 mile/hour or 20 miles/60 minutes. I know that 1 mile is 5280 feet, then 2 miles would be 10,560 feet and 20 miles would be 105,600 feet. So 20 miles (105,600 feet) in 60 minutes. Then I divided it out and got 1,760 feet in one minute or 29.3333333 feet in one second. I finally figured that it would take 3.4090909 seconds. 2) 1 x 6 -:- 2 = 3 + -:- + 9 + 2 - 8 = 3 - + - 5 + 3 - 2 = 6 = = = = 5 + 6 - 8 = 3 3) 0123456789 6210001000 ********************************************* Marianne Blair, Hess Educational Complex, Fifth Grade. Problem #1 This problem proved to be the most difficult for the students to solve. Students finally agreed on the following answer. Kristen Dempsey: 5,280 feet x 20 = 105600 feet 105,600 feet / by 60 minutes in an hour = 1760 ft /min. 1760 / by 60 seconds in a minute = 29.3 ft/sec. 100 feet / by 29.3 ft./sec.= 3.4 seconds Problem #2 Most of the students came up with the following answer: *=multiply /=divide - = subtract + = add 1*6/2=3 _________________________________________________ +/+x _________________________________________________ 9+2-8=3 _________________________________________________ -+-- _________________________________________________ 5+3-2=6 _________________________________________________ ==== _________________________________________________ 5+6-8=3 _________________________________________________ Problem #3 Following Students agreed on this answer: Brandon, Lauren, Adrian, Kelsey, Christina, Elizabeth, Greg, Diana, and Kristen. 0123456789 6210001000 ********************************************* Esther and Clare St. Hilda's Australia These problems are a bit difficult because we don't use inches , feet, yards and miles. We use centimetres , metres and kilometres. We are finding question one a bit hard. I hope you have nice holidays . We are working on problem number 1.We work out that it would take Ken 3.409 seconds to kick the ball 100 metres because it takes 1 hour to kick the ball 20 miles it also takes 1 hour to kick the ball 105600 feet . In 1 minute the ball would travel 1760 feet .In 1 second it would travel 29.3 feet So to travel 100 feet it would take 3.409 seconds. ************************************** Sam Hahn - Miss McCarthy's 4th grade - Center School - Stow MA problem#1 Using the mathematical formula: rate x time = distance I figured out the answer. Since I don't know the time, I had to divide distance by rate but before I can do any of this I must get equal units. When I am done the answer comes out to be 3.4. seconds Since the rate is in miles per hour and the distance is in feet, I needed to convert miles per hour to feet per hour. To do this I multiplied 20 x 5,280 to get 105,600 feet per hour. Time is equal to 100 divided by 105,600 to get .000946 hours. To get the time in better units I first converted hours to minutes by multiplying by 60 to get .056 minutes. To get seconds I multiplied minutes by 60 to get 3.4 seconds. problem#2 1 x 6 / 2 = 3 + # / # x # x 9 + 2 - 8 = 3 - # + # / # - 5 + 3 - 2 = 6 = # = # = # = 5 + 6 - 8 = 3 *************************
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