September MGJ 2011 - PRIME Center

ior!
PRIME
µα+ͪ gazine
Jun
What does Mean mean?
N stands for a number.
Do the PRIME MATHgazine Junior
Challenge! Solve the problems and send
them in for a chance to become the GREAT
STEMATICIAN OF 2011-2012 and WIN
For the mean and the median of these
numbers to be the same, what has to be
the value of N?
12 4 2 10 N
A PRIZE!
Each answer is worth 5 points. Points will
be awarded for both creative ways to solve
the problems, as well as correct answers.
Solutions due November 1, 2011.
3 ways to submit:
Email:
Fax:
Mail:
Money Sense
1 penny weighs 3 grams
1 nickel weighs 5 grams
1 dime weighs 2 grams
1 quarter weighs 6 grams
[email protected]
480-727-0910
Dixit Patel, Editor at PRIME
MATHgazine
PO Box 875703
Tempe, AZ 85287-5703
1. What is the greatest amount
of money you could have if its
total weight is 100 grams?
2. What is the greatest amount
of money you could have if its
total weight is one kilogram?
VOLUME 2 | ISSUE 1 | SEPTEMBER 2011
Carole Greenes, Associate Vice Provost for STEM Education
Palindromes
ABCD Boxes
and My Car
1. Box A weighs 8 pounds plus half its weight. How
much does Box A weigh?
2. Box B weighs 13 pounds plus half its weight. How
much does Box B weigh?
3. Box C weighs 16 pounds plus one-fourth of its
weight. How much does Box C weigh?
4. Box D weighs 20 pounds plus one-fifth of its
weight. How much does Box D weigh?
Palindromes are
numbers like 242,
909 and 55. They
read the same
forward and
backward.
When I left home,
my car’s odometer
showed 238 miles.
I drove at an
average speed of
50 miles per hour
for 6 hours. During
that drive, how
many times did my
odometer show a
palindromic
number?
Making Sense
Use the numbers in the rectangle to fill in the
blanks.
The story must make sense.
Jan, Eric and Melissa wash windows. They charge
$_______ for each window. Last week they
washed _______ windows and earned a total of
$_______. They shared the money equally. Each
person got $_____.
Susan delivers papers. She makes ____cents
for each paper she delivers. She delivers _____
papers each day for a total of 245 papers in
_____ days. This week she made $_______
for delivering the papers. She also got $______ in
tips.
Rick watches his neighbor’s dog and takes him on
walks. He works 6 hours each week and makes
$______ an hour for a total of $______ a week.
Each week Rick saves $_______. In 12 weeks, he
will have saved $_________, enough to buy a
computer game.
116.25
93
1.25
38.75
7
15
35
13.50
36.75
66.00
16.50
2.75
5.50
VOLUME
VOLUME
|ISSUE
ISSUE
SEPTEMBER
| MARCH 2011
2011
VOLUME
22 ||1 ISSUE
11 ||7 SEPTEMBER
2011
Carole Greenes, Associate Vice Provost for STEM Education
The Winner Is???
In the city election for mayor,
4000 people voted.
The winner beat the loser by 1000
votes. How many votes did the
winner get?
PRIME
MATHgazine
Junior!
Published by:
In the election for representative to the city council,
2000 people voted. The winner beat the loser by 500
votes. How many votes did the winner get?
The Center for Practice,
Research and Innovation in
Mathematics Education
Lots of Fours
Using four 4s and any operations, addition,
subtraction, multiplication or division, and you
are allowed to put the 4s together (e.g., use two
4s to make 44), can you write number sentences
for each of the numbers below?
_______________________________________ = 1
_______________________________________ = 2
_______________________________________ = 3
Dixit Patel, Editor
Discovery Hall, Suite 212
_______________________________________ = 4
PO Box 875703
_______________________________________ = 5
Tempe, AZ 85287-5703
_______________________________________ = 6
_______________________________________ = 7
[email protected]
http://prime.asu.edu
_______________________________________ = 8
_______________________________________ = 9
© 2011 PRIME Center
VOLUME
VOLUME
ISSUE
| ISSUE
|SEPTEMBER
MARCH 2011
2011
VOLUME
22 ||1 ISSUE
11 ||7 SEPTEMBER
2011
Carole Greenes, Associate Vice Provost for STEM Education