PRIME
µα+ͪ gazine
Garden Grief
1. The triangular garden has a
perimeter of 60 feet. The
shortest side is 5 feet shorter than
one side and 10 feet shorter than
the other side. What is the length
of the shortest side?
_____________________
2. The longest side of the
triangular garden is one foot
longer than one side and 2 feet
longer than the other side. The
perimeter of the garden is 27
feet. What is the length of the
longest side?
______________________
3. The rectangular garden is
3 feet longer than it is wide.
The perimeter of the garden
is 26 feet. How wide is the
garden?
4. The rectangular garden has
a perimeter of 80 feet. It is 10
feet longer than it is wide.
How long is the garden?
When you send in solutions, we score and keep track
_____________________
______________________
of your score.
Solutions for this issue are due
February 22, 2015. Awards are in July 2015.
3 ways to submit:
Email: [email protected]
5. The rectangular garden
has an area of 500 square
feet. The length is 5 feet
greater than the width.
What is the width of the
garden?
6. The rectangular garden has an area
of 800 square feet. The length is
twice the width. What is the length of
the garden?
______________________
Fax:
480-727-0910
Mail:
Jason Luc and Chloe Durfee, Co-Editors at
PRIME MATHgazine
PO Box 875703
Tempe, AZ 85287-5703
______________________
PRIME
C ENT E R
VOLUME 5 | ISSUE 9 | January 2015
©2015 PRIME Center, Arizona State University
Coin Challenge
United States Coin Measures
Use the data in the cart to solve the
problems.
1. A row of quarters, placed
side-by-side, has a mass of 153.09g.
How many centimeters
long is the row of quarters?
Coin
Mass
Diameter
Thickness
Penny
Nickel
Dime
Quarter
Half-Dollar
3.11g
5.00g
2.27g
5.67g
12.50g
19.0mm
21.1mm
17.9mm
24.3mm
30.6mm
1.9 mm
2.4mm
1.1mm
2.2mm
2.1mm
______________________
4. A collection of dimes and quarters
6. A collection of pennies, nickels, and dimes
has a value of $2.25. There are 12 coins has a mass of 65.64g. The pennies form a
in the collection.
stack 19mm high. There are 18 coins in
2. A stack of pennies has a mass of
139.95g.
How high is the stack of pennies?
______________________
What is the mass of the collection?
______________________
3. A collection of nickels and dimes
has a mass of 102.24g. There are 12
dimes in the collection.
How many nickels are in the collection?
______________________
5. A collection of dimes, nickels,
the collection.
What is the value of the collection of coins?
______________________
and quarters has a value of $1.15.
There are 11 coins in the collection.
The mass of the dimes is 9.08g.
How many quarters are collection?
______________________
Towering Facts
Assume that this tower pattern continues.
Solve the problems.
1. What is the sum of the
4. How much greater is the
numbers on the blocks
sum of the numbers on the
in Row 8?
blocks in Row 21 than in
______________________
Row 20?
______________________
2. What is the sum of the
5. If there are 10 rows of
numbers on the blocks
blocks, what is the sum of the
in Row 12?
numbers on the blocks
______________________
in Column A?
3. What is the sum of the
______________________
numbers on the blocks
6. If there are 50 rows of
in Row 50?
blocks, what is the sum of
______________________
the numbers on the
blocks in Column C?
______________________
PRIME
C ENT E R
C ENT E R
Row 1
Row 2
Row 3
Row 4
Row 5
1
2
4
3
6
9
4
8
12
16
5
10
15
20
2
0
25
7. If there are 200 rows of
blocks, what is the sum of
the numbers on the
blocks in Column F?
______________________
VOLUME
|ISSUE
ISSUE
| October
January2011
2015
VOLUME
VOLUME
3 3| 5|ISSUE
3|
2 9|November
2011
PRIME
Center,
State
University
Carole
Carole©2015
Greenes,
Greenes,
Associate
Associate
Vice
ViceArizona
Provost
Provostfor
forSTEM
STEM
Education
Education
Construction Completer
Use the clues to construct each figure on a separate sheet of paper.
Measure sides to the nearest tenth of a centimeter.
1. Draw triangle ABC.
 ∠ C = 65°
 ∠ B = 45°
 The measure of side BC is 5.2 cm.
 The bisector of ∠ C intersects side
AB at point D.
What is the measure of side DB?
2. Draw parallelogram ABCD.
 The measure of side AD is 4.4 cm.
 The measure of side DC is 2.9 cm.
 ∠ A = 40°
What is the measure of diagonal AC?
_________________________________
_________________________________
3. Draw rhombus DEFG.
 The measure of side DE is 6.5 cm.
 ∠ G = 115°
 The diagonals intersect at point O.
What is the measure of segment OE?
4. Draw triangle LMN.
 The measure of side LN is 3.2 cm.
 The measure of side NM is 6.1 cm.
 ∠ N = 80°
 The perpendicular bisector of side
NM intersects side LM at point P.
What is the measure of segment LP?
_________________________________
_________________________________
5. Draw parallelogram EFGH.
 The measure of side EH is 7.6 cm.
 The measure of side EG is 9.5 cm.
 ∠ HEG = 22°
What is the measure of side EF?
6. Draw rectangle QRST.
 The diagonals intersect at point O.
 ∠ TQO = 30°
 The measure of diagonal QS is 5.5 cm.
What is the measure of side QR?
_________________________________
_________________________________
PRIME
C ENT E R
VOLUME
VOLUME
3 3| 5|ISSUE
3|
2 9|November
2011
VOLUME
|ISSUE
ISSUE
| October
January2011
2015
Carole
Carole©2015
Greenes,
Greenes,
Associate
Associate
Vice
ViceArizona
Provost
Provostfor
forSTEM
STEM
Education
Education
PRIME
Center,
State
University
βαιℤαℕθς
Balzano is a puzzle that will tap into your logical reasoning abilities. Read the directions carefully, then try your hand
at Balzano Shapes. No shapes are repeated.
Directions:
Your job is to figure out the Desired Arrangement of shapes from clues that provide information about the shapes and
their locations. Each clue consists of four parts.
The Arrangement Column shows sets of shapes in rows. In the Balzano below, the second row is arranged in order
from left to right, parallelogram, triangle, trapezoid.
Correct Shape in the Correct Position identifies the number of shapes that are in the Desired Arrangement AND in the
right positions. The second row has no shape that is in the Desired Arrangement and in the correct position.
Correct Shape in the Wrong Position identifies the number of shapes in the Desired Arrangement that are the correct
shapes BUT not in the right positions. There are two of these in the second row.
Incorrect Shape identifies the number of shapes that are not in the Desired Arrangement. There is one of these in the
second row.
Arrangement
Arrangement
Correct Shapes Correct Shape in
in Correct Place Wrong Place
Incorrect Shape
0
1
Correct shape Incorrect
Correct shape in
1correct position
0 in wrong
2shape
position
0
1
1
3
PRIME
N TT EE RR
CC EE N
0
1
1
0
0
4
2
2
2
1
0
4
3
3
3
4
0
0
1
0
1
0
0
1
0
0
VOLUME
VOLUME
3 3
| 5|
ISSUE
3 |2 9|
November
VOLUME
|ISSUE
ISSUE
| October
January2011
2015
Carole
Greenes,
Associate
Vice
Provost
for
STEM
Education
Carole
Greenes,
Associate
Vice
Provost
for
STEM
Education
©2015
PRIME
Center,
Arizona
State
University