[CabotCommunity] CABOT MATHS CHALLENGE MARCH 2007

[Jo Doherty]

First name

Last name

Grade

Teacher


 

 

 

 


 

 

 

 


 

 

 

 

 

 

 

       

     CABOT MATH CHALLENGE 

     Problem # 5 - March, 2007

 

People that worked on this solution:

 

 

 

 

 

*     Trying to solve the problem is more important than the getting the
correct answer.  

*     Submissions that do not show how you found your answers will not be
counted.  

*     Showing your work can include an equation, a picture or a written
description. 

*     Please show your work on these pages and staple additional pages as
needed.  

*     Please be neat and have fun! 

*     And remember, even though there are 7 questions listed below, you only
have to submit your solution to some of them to get credit.

 

Please place your solutions by TUESDAY March 20th in the in-boxes one of
these classes: 

Mr. Tirrell, Mrs. Moriarty, or Mrs. Robertson.

 

:-):-):-):-):-):-):-):-):-):-):-):-):-):-):-):-):-):-):-):-):-):-):-):-):-):
-):-):-):-):-)

Problem #5


1. On the menu of the Small Belly restaurant there are 


3 soups: chicken soup, tomato soup and lentil soup


4 main courses: spaghetti & meatballs, macaroni and cheese, vegetable stir
fry, and baked chicken         2 desserts: chocolate cake or lemon meringue
pie 


 


How many different 3-course meals can you create from these choices?  NOTE:
Each meal must include a soup, a main course and a dessert?  Show your work
and come up with as many combinations as you can.


 


 

 

 

 

 

 

 

 

2. Tara put 10 pairs of socks in the laundry, but when they came back 2
socks were missing mates.

*	Now she has an odd number of purple and green socks, but has only 1
complete pair of green socks. 
*	She has 1 more pair of blue socks than red socks. 
*	She has more green socks than purple socks. 


How many socks of each color does she have now (show your work)?  How many
pairs of each color did she put in the wash?


 


 


 


 


 

3. Over the weekend, the children in our neighborhood were preparing for a
snowball fight. They prepared their ammunition (i.e. snowballs) and put them
in a 3-layer pyramid. The first layer on the ground was square shaped. They
made the second layer nice and sturdy by putting a snowball in each of the
spaces that were made when four snowballs on the bottom layer were touching.
Their third layer just needed one snowball!

 

A.	How many total snowballs did they need for their three-layer
pyramid? 

 




The gray snowball shows how the children fit snowballs into the space made
by the four snowballs in the layer below.

  
 


	
		 
 

 

 

 

 


B.     How many snowballs in a five-layer pyramid (show your work)?

 

 

 

 

 

Jo Doherty

Cabot PTO Co-President

11 Leonard Avenue,

West Newton, MA 02465

617-332-1530

jcdoherty11 at comcast.net

 

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