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Article #272

MathMagic Problems Cycle 2

#272
From: Carol Hooper
Date: Thu, 12 Nov 1992 06:10
55 lines
3044 bytes
Grade Level K-2
A penney is a coin with 2 sides - "heads" and "tails." Tammy has
10  pennies. If she  drops all of them on  the floor, how many
will land facing "heads" up?
*************************
Grade Level 3-4
Carol has 45  cents in change. What possible coins  could she have
to make this amount?
Ted has 20 coins which are all dimes and nickels.  Some of these coins,
                                                   ^^^^
when combined, equal 60 cents.  Altogether, how many dimes and how many
nickels does he have?  (Rewording completed for clarification.)
************************* Grade Level 5-6
Underneath many city streets, there are tunnels and man-made holes for
drainage, electrical lines, phone lines, and so forth.  These
"manholes" are covered with large, heavy, metal covers on the street.
The covers could be many different shapes, such as squares,  circles,
rectangles,triangles, and others.  What is the best shape for a manhole
cover?  What is the worst shape for a manhole cover?  Explain your
answers.  *************************
Grade Level 7-8
Let's assign each letter of the alphabet a dollar value based on its
position in the alphabet. Let A=$1, B=$2, C=$3, D=$4,...up to  Y=$25,
Z=$26.  When we assign values to letters like this we create
"variables." Now we can find the dollar value of words, using algebra.
For example, the word CAB is worth $6, because CAB = 3x1x2 = 6 (notice
we mutiply the value of the letters together, since in algebra when
variables are next to each other they are multiplied).  Now can you
find A) the dollar value of "MathMagic" B) the dollar value of the name
of your school C) a $10 word D) a $12 word E) a $20, 30, ...$100 word
F) a $1000  or $10000 word G) the cheapest word H) the most expensive
word.
*************************
Grade Level 9-10
Use any mathematical operations you know to represent each natural
number n as an expression with n n's. For example, represent 3 as a
combination of three 3's as: (3 + 3)/3. Write  as many of the natural
numbers as you can  in this way:  one 1, two 2's, three 3's, four 4's,
etc.   (These can be combined using various operations!)
*************************
Grade Level 11-12
Define n> to be the sum of the first n natural numbers greater than n.
Define <n to  be the sum of  the  n natural numberrs upto and including
n. So,
    4> =  5 +  6  + 7 + 8 = 26
    <4 =  1 + 2  + 3  + 4 = 10
Write a formula using  n for
A)  n> - <n
B)  n> + <n
************************


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Path: arc1-ca.pugleaf.net!sparky!uunet!psgrain!puddle!f89.n381.z1.fidonet.org!Carol.Hooper
From: Carol.Hooper@f89.n381.z1.fidonet.org (Carol Hooper)
Sender: ufgate@puddle.fidonet.org (newsout1.26)
Newsgroups: k12.sys.channel2
Subject: MathMagic Problems Cycle 2
Message-ID: <18413.2B027197@puddle.fidonet.org>
Date: Wed, 11 Nov 92 23:10:46 PDT
Organization: FidoNet node 1:381/89 - Wolverine BBS, El Paso TX
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