Student Name
MATHEMATICS
SUNSHINE STATE STANDARDS
TEST BOOK
9
MATHEMATICS
Released: August 2006
Last used: March 2006
GRADE
47568-01
Copyright Statement for This Assessment and School Performance Publication
Authorization for reproduction of this document is hereby granted to persons acting in an official capacity within the
Uniform System of Public K–12 Schools as defined in Section 1000.01(4), Florida Statutes. The copyright notice at the
bottom of this page must be included in all copies.
All trademarks and trade names found in this publication are the property of their respective owners and are not
associated with the publishers of this publication.
Permission is NOT granted for distribution or reproduction outside of the Uniform System of Public K–12 Schools or for
commercial distribution of the copyrighted materials without written authorization from the Florida Department of
Education. Questions regarding use of these copyrighted materials should be sent to the following:
The Administrator
Assessment and School Performance
Florida Department of Education
Tallahassee, Florida 32399-0400
Left
Copyright � 2006
State of Florida
Department of State
Page 2
FCAT 2006 Mathematics Released Test � 2006 Florida Department of Education
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This symbol appears next to questions that require you to fill in your answer on a
grid in your answer book. Answers may be gridded using several correct formats. You
MUST fill in the bubbles accurately to receive credit for your answer.
Directions for Completing the Response Grid
1. Work the problem and find an answer.
2. Write your answer in the answer boxes at the top of the grid.
• Print your answer with the first digit in the left answer box, OR with the last digit
in the right answer box.
• Print only one digit or symbol in each answer box. Do NOT leave a blank answer
box in the middle of an answer.
• Be sure to write a decimal point or fraction bar in the answer box if it is part of
the answer.
3. Fill in a bubble under each box in which you wrote your answer.
• Fill in one and ONLY one bubble for each answer box. Do NOT fill in a bubble
under an unused answer box.
• Fill in each bubble by making a solid black mark that completely fills the circle.
• You MUST fill in the bubbles accurately to receive credit for your answer.
Parts of a Response Grid
Response grids have these parts:
answer boxes
/ / /
Left
. . . . .
0
0
0
0
0
1
1
1
1
1
2
2
2
2
2
3
3
3
3
3
4
4
4
4
4
5
5
5
5
5
6
6
6
6
6
7
7
7
7
7
8
8
8
8
8
9
9
9
9
9
fraction bar
decimal point
number bubbles
Page 3
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Fold and Tear Carefully Along Dotted Line.
.....................................................................................................................................................................................................................................................................
This FCAT Mathematics Reference Sheet is for use only on the SSS FCAT Mathematics Test.
Grades 9–10 FCAT Mathematics Reference Sheet
Area
Triangle
KEY
1
A = 2 bh
b
h
l
w
Rectangle
A = lw
Trapezoid
A = 2 h (b1 + b2)
1
=
=
=
=
=
S.A. =
base
height
length
width
slant height
surface area
d
r
A
C
V
=
=
=
=
=
diameter
radius
area
circumference
volume
for π.
Use 3.14 or 22
7
Parallelogram
Circle
A = bh
Circumference
C = πd or C = 2πr
A = π r2
Volume/Capacity
Right Circular
Cone
V = 3 πr2 h
Right Square
Pyramid
V = 3 l wh
Sphere
Right Circular
Cylinder
Total Surface Area
1
1
S.A. = 2 (2πr) + πr2 or S.A. = πr + πr2
1
S.A. = 4( 12 l ) + l 2 or S.A. = 2l + l 2
V = 3 πr3
4
S.A. = 4πr2
V = πr2 h
S.A. = 2πrh + 2πr2
Rectangular Prism V = l wh
S.A. = 2(l w) + 2(hw) + 2(l h)
In the following formulas, n represents the number of sides.
• In a polygon, the sum of the measures of the interior angles is equal to 180(n − 2).
• In a regular polygon, the measure of an interior angle is equal to 180(n − 2) . n
Page 4
FCAT 2006 Mathematics Released Test � 2006 Florida Department of Education
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Distance between two points
Pythagorean theorem:
P1 (x1, y1) and P2 (x2, y2):
c
a
a2 + b 2 = c 2
(x2 - x1)2 + (y2 - y1)2
b
Midpoint between two points
P1 (x1, y1) and P2 (x2, y2):
Slope-intercept form of an equation
of a line:
( x +2 x , y +2 y )
2
1
2
1
y = mx + b
where m = slope and b = the y-intercept.
Simple interest formula:
Distance, rate, time formula:
I = prt
d = rt
where p = principal, r = rate,
t = time.
where d = distance, r = rate, t = time.
Conversions
1 yard = 3 feet = 36 inches
1 mile = 1760 yards = 5280 feet
1 acre = 43,560 square feet
1 hour = 60 minutes
1 minute = 60 seconds
1 cup = 8 fluid ounces
1 pint = 2 cups
1 quart = 2 pints
1 gallon = 4 quarts
1 liter = 1000 milliliters = 1000 cubic centimeters
1 meter = 100 centimeters = 1000 millimeters
1 kilometer = 1000 meters
1 gram = 1000 milligrams
1 kilogram = 1000 grams
1 pound = 16 ounces
1 ton = 2000 pounds
Metric numbers with four digits are presented without a comma (e.g., 9960 kilometers).
For metric numbers greater than four digits, a space is used instead of a comma
(e.g., 12 500 liters).
Page 5
FCAT 2006 Mathematics Released Test � 2006 Florida Department of Education
SESSION: 32 PAGE: 5 5/5/106 9:4 LOGIN IS-pam
Fold and Tear Carefully Along Dotted Line.
.....................................................................................................................................................................................................................................................................
This FCAT Mathematics Reference Sheet is for use only on the SSS FCAT Mathematics Test.
Grades 9–10 FCAT Mathematics Reference Sheet
PATH: @sun2/xydisk2/CLS_psycorp/GRP_florida/JOB_07g6-10/DIV_g9math-ak
This is a picture of a generic calculator and its parts.
GENERIC MODEL
Solar Cell
Memory Indication
M
E
Display
Negative Sign
Error Indication
Memory Keys
On/Clear
Sign Change
Percent
ON/C MRC
+
M–
OFF
Off
–
7
8
9
÷
Division
%
4
5
6
✕
Multiplication
1
2
3
–
Subtraction
0
•
=
+
Addition
Square Root
Clear Entry
M+
CE
Equal Sign
Decimal Point
HELPFUL HINTS FOR TAKING THE FCAT MATHEMATICS SSS TEST
1.
Read the problem very carefully. Then decide whether or not you need the calculator to help
you solve the problem.
2.
When starting a new problem, always clear your calculator by pressing the clear key.
3.
If you see an E in the display, clear the error before you begin.
4.
If you see an M in the display, clear the memory and the calculator before you begin.
5.
If the number in the display is not one of the answer choices, check your work. Remember that
when computing with certain types of fractions, you may have to round the number in the
display.
6.
Remember, your calculator will NOT automatically perform the algebraic order of operations.
7.
Calculators might display an incorrect answer if you press the keys too quickly. When working
with calculators, use careful and deliberate keystrokes, and always remember to check your
answer to make sure that it is reasonable.
8.
The negative sign may appear either to the left or to the right of the number.
9.
Always check your answer to make sure that you have completed all of the necessary steps.
Page 6
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FCAT Mathematics Released Test Book
Use the space in the Test Book to do your work. If you change your answer, be sure to
erase completely.
The correct answer for each multiple-choice question is circled. To the left of each answer choice is
the percentage of students who chose that answer.
1
�
Only part of an iceberg is visible above the water line. The picture shows an iceberg
with a height of about 450 feet above the water line.
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C
ArtCodes
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feet
Which is the closest to the total height, in feet, of the iceberg?
5%
18%
71%
Right
5%
A.
1,000 feet
�
2,000 feet
B.
C.
4,000 feet
D.
6,000 feet Benchmark
Content Focus
MA.A.4.4.1
length estimation
Content
Difficulty
Low
Page 7
FCAT 2006 Mathematics Released Test � 2006 Florida Department of Education
SESSION: 45 PAGE: 7 7/7/106 12:19 LOGIN IS-pam
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FCAT Mathematics Released Test Book
2
�
2%
10MAB242M0017
3%
2290675
C
88%
Left
7%
A rock climber burns 12 calories per minute of climbing. How many calories does
the rock climber burn in one-half hour of climbing? F. 6
G.
�
24
H.
360
I.
720
Benchmark
Content Focus
MA.B.2.4.2
rated measures
Content
Difficulty
Moderate
Page 8
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FCAT Mathematics Released Test Book
3
�
09MAD242M7068
The seesaw shown below is an example of a type of lever. A lever will balance when
the product of the force (weight of one child) and the distance on one side of the
fulcrum equals the product of the force (weight of the other child) and the distance
on the other side.
2289728
C
ArtCodes
09MAD242M7068.AR1
The fulcrum is at point A where the seesaw balances. H is the force applied at a
distance j on one side of the fulcrum and F is the force applied at a distance d on the
other side of the fulcrum. Which of the following equations represents this
relationship?
Fd � Hj
B.
FH � dj
13%
C.
F
H
�
d
j
8%
D.
F
j
�
d
H
14%
Right
�
A.
65%
Benchmark
Content Focus
MA.D.2.4.2
equations
Content
Difficulty
Moderate
Page 9
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FCAT Mathematics Released Test Book
4
�
09MAB142M6506
2289561
C
5%
F.
235 seconds
6%
G.
327 seconds
H.
�
642 seconds
I.
763 seconds
26%
62%
Left
In developing her science project, Leigh learned that light travels at a constant rate
and that it takes 500 seconds for light to travel the 93 million miles from the Sun to
Earth. Mars is 142 million miles from the Sun. About how many seconds will it take
for light to travel from the Sun to Mars?
Benchmark
Content Focus
MA.B.1.4.2
time
Content
Difficulty
Moderate
Page 10
FCAT 2006 Mathematics Released Test � 2006 Florida Department of Education
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FCAT Mathematics Released Test Book
5
�
Tony Seeger, a researcher from the Smithsonian Institution, spent many years with
the Suya Indians in Brazil. Tony, shown dancing with a group of the Indians, is
about a head taller than any of the Suya.
09MAE142M3541
4530
C
ArtCodes
09MAE142M3541.AR1
The heights of 80 dancers were recorded. If Tony Seeger’s height was included in the
data, which measure below would be most affected?
35%
A.
mean
12%
B.
median
14%
Right
40%
�
C.
mode
D.
range
Benchmark
Content Focus
MA.E.1.4.2
comparing measures of central tendency and range
Content
Difficulty
Moderate
Page 11
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FCAT Mathematics Released Test Book
6
�
The population of a town is 13,000 and is increasing by about 250 people per year.
This information can be represented by the following equation, where y represents
the number of years and p represents the population.
p � 13,000 � 250y
10MAD242G0052
2290887
C
According to the equation above, in how many years will the population of the
town be 14,500 ?
Example of a
Correct Gridded Response:
Acceptable
Gridded Response(s)
6
6
/ �
/ �
/
�
. �
. �
. �
. �
.
�
0 �
0 �
0 �
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0
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1 �
1 �
1 �
1 �
1
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2 �
2 �
2 �
2 �
2
�
3 �
3 �
3 �
3 �
3
�
4 �
4 �
4 �
4 �
4
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5 �
5 �
5 �
5 �
5
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6 �
6 �
6 �
6 �
6
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7 �
7 �
7 �
7 �
7
�
8 �
8 �
8 �
8 �
8
�
9 �
9 �
9 �
9 �
9
�
Benchmark
Content Focus
MA.D.2.4.2
equations
Content
Difficulty
Low
Left
Percentage of Students Answering Correctly
74
Page 12
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FCAT Mathematics Released Test Book
7
�
In 1990, the city of St. Petersburg, Florida, had the greatest population density of any
city in the state, about 3,040 persons per square mile. The city of Inverness, Florida,
had a population density equal to
09MAA343G1055
2289484
C
1
19
the density of St. Petersburg. What was the
population density of Inverness, in persons per square mile?
Example of a
Correct Gridded Response:
Acceptable
Gridded Response(s)
159.9-161.1
1 5 9 . 9
/ �
/ �
/
�
. �
. �
. �
. �
.
�
0 �
0 �
0 �
0 �
0
�
1 �
1 �
1 �
1 �
1
�
2 �
2 �
2 �
2 �
2
�
3 �
3 �
3 �
3 �
3
�
4 �
4 �
4 �
4 �
4
�
5 �
5 �
5 �
5 �
5
�
6 �
6 �
6 �
6 �
6
�
7 �
7 �
7 �
7 �
7
�
8 �
8 �
8 �
8 �
8
�
9 �
9 �
9 �
9 �
9
�
Benchmark
Content Focus
MA.A.3.4.3
solving real-world problems involving fractions/decimals
Content
Difficulty
Low
Right
Percentage of Students Answering Correctly
57
Page 13
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FCAT Mathematics Released Test Book
8
�
Two sailboats leave Key Largo, Florida. One of the sailboats travels 3 miles east and
then 4 miles north. The second sailboat travels 8 miles south and 6 miles west.
N
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C
4
Key Largo
ArtCodes
W
09MAC341G1152.AR1
E
3
8
6
S
How far apart, in miles, are the boats?
Example of a
Correct Gridded Response:
Acceptable
Gridded Response(s)
15
1 5
/ �
/ �
/
�
. �
. �
. �
. �
.
�
0
0
0
0
0
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1
1
1
1
1
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2
2
2
2
2
�����
3
3
3
3
3
�����
4
4
4
4
4
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5
5
5
5
5
�����
6
6
6
6
6
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7
7
7
7
7
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8
8
8
8
8
�����
9
9
9
9
9
�����
Benchmark
Content Focus
MA.C.3.4.1
Pythagorean theorem
Content
Difficulty
Moderate
Left
Percentage of Students Answering Correctly
21
Page 14
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FCAT Mathematics Released Test Book
9
�
On a coordinate grid, the location of a lighthouse is at L, and the location of a buoy
is at B. At noon, a ship was at the midpoint of the segment connecting L and B on
the grid.
y
09MAC342M1213
10
2289663
C
8
L
6
4
2
-10
-8
-6
-4
-2
ArtCodes
0
2
4
6
8
10
x
-2
09MAC342M1213.AR1
-4
B
-6
-8
Which coordinates best represent the ship’s position at noon?
22%
F.
(2,
1
2
)
15%
G.
(1,
1
2)
H.
( 12 , 2)
I.
( 12 , 5)
55%
Right
9%
�
Benchmark
Content Focus
MA.C.3.4.2
midpoint
Content
Difficulty
Low
Page 15
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FCAT Mathematics Released Test Book
10
�
09MAD141MB933
If the flight deck of the carrier is 90 feet above sea level, which equation could be
used to find t, the number of seconds it will take Lt. Johnson to reach her cruising
altitude of 30,000 feet above sea level?
3004783
C
12%
A.
t�
30,000 90 14%
B.
t�
30,000 � 95
90
13%
C.
t�
30,000
95
D.
t�
30,000 � 90
95
61%
Left
Lt. Dahlia Johnson is a jet pilot in the United States Navy. After her jet is launched
from the flight deck of an aircraft carrier, the jet’s altitude above sea level increases at
a constant rate of 95 feet per second.
�
Benchmark
Content Focus
MA.D.1.4.1
functions
Content
Difficulty
Moderate
Page 16
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FCAT Mathematics Released Test Book
11
�
09MAA343M3340
19%
3928
C
63%
7%
Right
11%
While in Tokyo, Callie spent 547,000 Japanese yen for a strand of pearls. The cost of
the pearls was equivalent to $5,000 in U.S. currency. At the time of Callie’s purchase,
how many yen were equivalent to $20 in U.S. currency?
�
G.
2,188 yen
H.
5,470 yen
I.
27,350 yen
109 yen
F.
Benchmark
Content Focus
MA.A.3.4.3
solving real-world problems
Content
Difficulty
Moderate
Page 17
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FCAT Mathematics Released Test Book
12
�
09MAD141MH147
3083559
Denise’s great-grandfather gave her an antique violin. He paid $18 for the violin
84 years ago. She found that the dollar value of the violin had doubled
approximately every 12 years, and that the violin currently had a dollar value of
$2,300. If the dollar value of her violin doubles every 12 years, what would be the
dollar value of Denise’s antique violin in 36 more years?
C
30%
7%
55%
Left
8%
A.
$6,900
�
$8,100
B.
C.
$18,400
D.
$24,300 Benchmark
Content Focus
MA.D.1.4.1
functions
Content
Difficulty
Moderate
Page 18
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FCAT Mathematics Released Test Book
13 Mike delivers pizzas for a restaurant. He is paid $5 per hour worked plus $3 for
�
each pizza delivered. Last week Mike worked 35 hours and earned $265. This week
09MAD142G6133
Mike wants to earn $295. If Mike works the same number of hours, how many more
pizzas must Mike deliver this week than he delivered last week?
2289691
C
Example of a
Correct Gridded Response:
Acceptable
Gridded Response(s)
10
1 0
/ �
/ �
/
�
. �
. �
. �
. �
.
�
0 �
0 �
0 �
0 �
0
�
1 �
1 �
1 �
1 �
1
�
2 �
2 �
2 �
2 �
2
�
3 �
3 �
3 �
3 �
3
�
4 �
4 �
4 �
4 �
4
�
5 �
5 �
5 �
5 �
5
�
6 �
6 �
6 �
6 �
6
�
7 �
7 �
7 �
7 �
7
�
8 �
8 �
8 �
8 �
8
�
9 �
9 �
9 �
9 �
9
�
Benchmark
Content Focus
MA.D.1.4.2
changing cost parameters
Content
Difficulty
Moderate
Right
Percentage of Students Answering Correctly
58
Page 19
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FCAT Mathematics Released Test Book
14 Sergio works at his father’s electronics shop after school. He needs to drill a hole at
�
each of the points A, B, C, D, and E on circle P, as shown below.
CIRCUIT BOARD
09MAB142GF821
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C
C
D
B
P
110°
ArtCodes
3083771.AR1
A
E
If Sergio drills the holes so that ∠APE measures 110� and the other 4 central angles
are congruent to each other, what will be the measure of ∠CPD ?
Example of a
Correct Gridded Response:
Acceptable
Gridded Response(s)
62.5
6 2 . 5
/ �
/ �
/
�
. �
. �
. �
. �
.
�
0 �
0 �
0 �
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0
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1 �
1 �
1 �
1 �
1
�
2 �
2 �
2 �
2 �
2
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3 �
3 �
3 �
3 �
3
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4
4
4
4
4
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5
5
5
5
5
�����
6
6
6
6
6
�����
7
7
7
7
7
�����
8
8
8
8
8
�����
9
9
9
9
9
�����
Benchmark
Content Focus
MA.B.1.4.2
angle measures
Content
Difficulty
Moderate
Left
Percentage of Students Answering Correctly
37
Page 20
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FCAT Mathematics Released Test Book
15 Jesse and Jordan are playing a game using two spinners. Each spinner contains the
�
numbers 1, 2, 3, and 4. The spinner is equally likely to stop on any of the four
numbers.
09MAE241G1137
2289764
C
4
1
4
1
3
2
3
2
ArtCodes
09MAE241G1137.AR1
In the game, a player spins both spinners and calculates the product of the two
numbers on which the spinners stopped. What product has the greatest probability
of occurring in this game?
Example of a
Correct Gridded Response:
Acceptable
Gridded Response(s)
4
4
/ �
/ �
/
�
. �
. �
. �
. �
.
�
0 �
0 �
0 �
0 �
0
�
1
1
1
1
1
�����
2
2
2
2
2
�����
3
3
3
3
3
�����
4
4
4
4
4
�����
5
5
5
5
5
�����
6
6
6
6
6
�����
7
7
7
7
7
�����
8
8
8
8
8
�����
9
9
9
9
9
�����
Benchmark
Content Focus
MA.E.2.4.1
single event probability
Content
Difficulty
Moderate
Right
Percentage of Students Answering Correctly
32
Page 21
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FCAT Mathematics Released Test Book
16
�
Florence has a circular piece of artwork 18 inches in diameter. She wants to display
the artwork on a square piece of fabric that has a cord attached to the edges of the
square, as shown below. The fabric will extend 3 inches (in.) beyond the artwork.
09MAB141M3364
Cord
3953
C
ArtCodes
18 in.
3 in.
09MAB141M3364.AR1
What is the perimeter, in inches, of the square piece of fabric?
27%
16%
52%
Left
5%
F.
54 in.
G.
�
84 in.
H.
96 in.
I.
108 in. Benchmark
Content Focus
MA.B.1.4.1
perimeter
Content
Difficulty
Moderate
Page 22
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FCAT Mathematics Released Test Book
17
�
The design for a machine part is shown below.
y
09MAC341M3680
(-1,8)
5259
C
(-3,4)
(1,8)
(-1,4) (1,4)
(3,4)
ArtCodes
09MAC341M3680.AR1
x
(3,-6)
(-3,-6)
Which of these is a correct statement about the symmetry of the design?
66%
Right
�
A.
The design is symmetrical only about the y-axis.
B.
The design is symmetrical only about the x-axis. 22% C.
The design is symmetrical about both the y- and the x-axes.
6%
D.
There is no symmetry in the design.
6%
Benchmark
Content Focus
MA.C.3.4.1
symmetry
Content
Difficulty
Low
Page 23
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FCAT Mathematics Released Test Book
18
�
electrical circuit is given by the formula I �
V
R,
where V is the voltage and R is the
resistance of the circuit. If the voltage remains unchanged, what effect will doubling
09MAD142M7607
the resistance of the circuit have on the current?
2289714
C
11%
51%
27%
10%
Left
Current is defined as the movement of electrical charges. The current, I, in a simple
�
F.
The current will remain the same.
G.
The current will be half its previous value.
H.
The current will double its previous value.
I.
The current will be two units more than its previous value.
Benchmark
Content Focus
MA.D.1.4.2
changing parameters
Content
Difficulty
Moderate
Page 24
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FCAT Mathematics Released Test Book
19
�
09MAD141GH602
A pyrometer is an instrument used to record very high temperatures. It produces a
small electric current called a microampere when exposed to heat. The microampere
reading indicates the temperature of the substance being measured. The linear
relation is shown in the table below.
3152816
PYROMETER MEASUREMENTS
C
Pyrometer Reading
(microamperes)
Temperature
(degrees Fahrenheit)
5.00
300.0
5.94
356.4
6.88
412.8
7.82
What should be the temperature, in degrees Fahrenheit, if the pyrometer reading
is 7.82 microamperes?
Example of a
Correct Gridded Response:
Acceptable
Gridded Response(s)
469.2
4 6 9 . 2
/ �
/ �
/
�
. �
. �
. �
. �
.
�
0
0
0
0
0
�����
1 �
1 �
1 �
1 �
1
�
2 �
2 �
2 �
2 �
2
�
3 �
3 �
3 �
3 �
3
�
4 �
4 �
4 �
4 �
4
�
5 �
5 �
5 �
5 �
5
�
6 �
6 �
6 �
6 �
6
�
7 �
7 �
7 �
7 �
7
�
8 �
8 �
8 �
8 �
8
�
9 �
9 �
9 �
9 �
9
�
Benchmark
Content Focus
MA.D.1.4.1
numerical patterns
Content
Difficulty
Moderate
Right
Percentage of Students Answering Correctly
74
Page 25
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FCAT Mathematics Released Test Book
20 Jodi is studying plant growth rates for her science project. For her project, she
�
selected three bean plants of equal height. Then, for the next five days, she measured
the height, in centimeters, of each plant and plotted the values on the graph below.
h BEAN PLANT GROWTH
09MAC342GF019
3084201
C
Height (in centimeters)
9
ArtCodes
3084201.AR1
8
7
(5, 7)
6
5
4
3
2
(1, 1)
1
0
1
2
3
4
5
6
d
Day
She drew a line of best fit passing through points (1, 1) and (5, 7) on the graph to
show one way of calculating the mean growth rate of the plants. What is the slope of
the line she drew?
Example of a
Correct Gridded Response:
Acceptable
Gridded Response(s)
1.5
Left
1 . 5
/ �
/ �
/
�
. �
. �
. �
. �
.
�
0 �
0 �
0 �
0 �
0
�
1 �
1 �
1 �
1 �
1
�
2 �
2 �
2 �
2 �
2
�
3 �
3 �
3 �
3 �
3
�
4 �
4 �
4 �
4 �
4
�
5 �
5 �
5 �
5 �
5
�
6 �
6 �
6 �
6 �
6
�
7 �
7 �
7 �
7 �
7
�
8 �
8 �
8 �
8 �
8
�
9 �
9 �
9 �
9 �
9
�
Benchmark
Content Focus
MA.C.3.4.2
slope
Content
Difficulty
Moderate
Percentage of Students Answering Correctly
38
Page 26
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21
�
7%
09MAD142M1198
44%
2289707
C
44%
Right
4%
A circle that has a radius of 5 inches has an area of 25p square inches. If the radius is
doubled, what is the area of the new circle?
A.
10p square inches
B.
�
50p square inches
C.
100p square inches
D.
200p square inches
Benchmark
Content Focus
MA.D.1.4.2
changing measurement parameters
Content
Difficulty
Moderate
Page 27
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FCAT Mathematics Released Test Book
22
�
09MAE241M3358
3946
What is the probability that the first winner to draw a token will win a stuffed
animal?
C
7%
52%
15%
25%
Left
Players of a game at the school carnival will be allowed to draw a token for a prize.
The prizes include 8 yo-yos, 9 key chains, 12 stuffed animals, 11 movie passes,
16 video rentals, and 14 flying disks. For each prize, there is one token available to
be drawn.
F.
6
29
G.
6
35
H. 1
6
I. 1
12
�
Benchmark
Content Focus
MA.E.2.4.1
single event probability
Content
Difficulty
Low
Page 28
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FCAT Mathematics Released Test Book
23
�
The numbers of paid subscriptions for four magazine types are shown on the
table below.
TOTAL PAID SUBSCRIPTIONS
09MAA142MH913
Magazine
Type
3152346
C
Circulation
Business
9.5
�
105
Family
5.0
�
106
Style
9.0
�
105
Teen
2.4
�
106
Which of the following lists these magazine types by circulation from
greatest to least?
23%
60%
8%
Right
8%
A.
�
Business, Style, Family, Teen
B.
Family, Teen, Business, Style
C.
Style, Business, Teen, Family
D.
Teen, Family, Style, Business
Benchmark
Content Focus
MA.A.1.4.2
order of numbers
Content
Difficulty
Moderate
Page 29
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FCAT Mathematics Released Test Book
24
�
Dori created four categories to describe different types of newspaper comic strips.
She then surveyed 293 high school freshmen to identify the one type of comic strip
each student preferred. The results of her survey are shown in the table below.
09MAE141MD100
COMIC STRIP PREFERENCE
3016424
C
Type of
Comic Strip
Number of
Responses
Political
9
Animal
126
Sports
108
Family
50
Which of the following is closest to the percent of freshmen surveyed who preferred
Family comic strips?
2%
23%
64%
Left
11%
F.
3%
G.
�
5%
H.
17%
I.
50%
Benchmark
Content Focus
MA.E.1.4.1
charts
Content
Difficulty
Low
Page 30
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25
�
Which point on the number line represents a number that, when cubed, will result in
a number greater than itself?
P
09MAA341M1044
Q R
S
2289464
C
-3
A.
P
8%
B.
Q
C.
�
R
D.
S
11%
ArtCodes
09MAA341M1044.AR1
Right
22%
60%
-1
-2
0
Benchmark
Content Focus
MA.A.3.4.1
raising to powers
1
2
Content
Difficulty
Moderate
Page 31
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26
�
In triangle ADG below, the length of side DG is 18 units. Line segments AG, BF,
and CE are all parallel.
A
10MAC241M0002
3
2290727
B
C
6
C
12
ArtCodes
13
10MAC241M0002.AR1
G
F
E
D
What is the approximate length of line segment EG ?
14%
63%
16% Left
6%
�
F.
4.9 units
G.
7.4 units
H.
11.0 units
I.
12.5 units
Benchmark
Content Focus
MA.C.2.4.1
similarity
Content
Difficulty
Moderate
Page 32
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27
�
Albert wants to simplify the expression:
8(3 � y) � 5(3 � y)
Which of the following is equivalent to the expression above?
09MAA342M1061
2289473
C
29%
40%
7%
Right
24%
�
A.
39 � y
B.
13(3 � y)
C.
40(30 � y)
D.
13(6 � 2y)
Benchmark
Content Focus
MA.A.3.4.2
equivalent expressions
Content
Difficulty
Low
Page 33
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28 Monica’s father owns a racecar. The table below lists 5 racecar finishing times for
�
recent practice trials.
TIMES FOR PRACTICE TRIALS
09MAE142G4302
13749
C
Trial
Time (in seconds)
1
5.09
2
5.10
3
4.95
4
4.91
5
5.05
What is the mean time, in seconds, for the 5 practice trials?
Example of a
Correct Gridded Response:
Acceptable
Gridded Response(s)
5.02
5 . 0 2
/ �
/ �
/
�
.
.
.
. �
.
����
0
0
0
0
0
�����
1
1
1
1
1
�����
2
2
2
2
2
�����
3
3
3
3
3
�����
4
4
4
4
4
�����
5
5
5
5
5
�����
6
6
6
6
6
�����
7
7
7
7
7
�����
8
8
8
8
8
�����
9
9
9
9
9
�����
Benchmark
Content Focus
MA.E.1.4.2
mean
Content
Difficulty
Low
Left
Percentage of Students Answering Correctly
78
Page 34
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29 Joseph volunteered to fertilize the grass at a neighborhood playground. He needs to
�
determine the area of the grass-covered portion, shaded in the diagram below, so he
can buy enough fertilizer.
09MAB141GF475
NEIGHBORHOOD PLAYGROUND
3106016
C
25 feet
28 feet
Monkey
Bars
Swings
and
Seesaws
30 feet
40 feet
60 feet
ArtCodes
3106016.AR1
100 feet
What is the area, in square feet, of the grass-covered portion of the playground?
Example of a
Correct Gridded Response:
Acceptable
Gridded Response(s)
4580
4 5 8 0
/ �
/ �
/
�
. �
. �
. �
. �
.
�
0
0
0
0
0
�����
1 �
1 �
1 �
1 �
1
�
2 �
2 �
2 �
2 �
2
�
3 �
3 �
3 �
3 �
3
�
4 �
4 �
4 �
4 �
4
�
5 �
5 �
5 �
5 �
5
�
6 �
6 �
6 �
6 �
6
�
7 �
7 �
7 �
7 �
7
�
8 �
8 �
8 �
8 �
8
�
9 �
9 �
9 �
9 �
9
�
Benchmark
Content Focus
MA.B.1.4.1
area
Content
Difficulty
Moderate
Right
Percentage of Students Answering Correctly
31
Page 35
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FCAT Mathematics Released Test Book
30 Home plate on a baseball field has a shape that is a square with two isosceles right
�
triangles removed from 2 adjacent corners.
A
09MAC141G1161
2289598
C
B
E
?
ArtCodes
09MAC141G1161.AR1
D
C
What is the measure of angle ABC ?
Example of a
Correct Gridded Response:
Acceptable
Gridded Response(s)
135
1 3 5
/ �
/ �
/
�
. �
. �
. �
. �
.
�
0 �
0 �
0 �
0 �
0
�
1 �
1 �
1 �
1 �
1
�
2 �
2 �
2 �
2 �
2
�
3 �
3 �
3 �
3 �
3
�
4
4
4
4
4
�����
5
5
5
5
5
�����
6
6
6
6
6
�����
7
7
7
7
7
�����
8
8
8
8
8
�����
9
9
9
9
9
�����
Benchmark
Content Focus
MA.C.1.4.1
interior angles of a polygon
Content
Difficulty
Moderate
Left
Percentage of Students Answering Correctly
27
Page 36
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31 As shown in the drawing, Raymond used similar triangles to find the height of a
�
pole. When he stood 6.5 feet from a small puddle, he could see the reflection of the
09MAB143G1078
top of the pole in the puddle. The puddle was 26 feet from the pole, and Raymond’s
eye level was 5.5 feet above the ground.
2289566
C
?
Puddle
↓
ArtCodes
Pole
26 ft
5.5 ft
6.5 ft
09MAB143G1078.AR1
What is the height of the pole in feet?
Example of a
Correct Gridded Response:
Acceptable
Gridded Response(s)
22
2 2
/ �
/ �
/
�
. �
. �
. �
. �
.
�
0 �
0 �
0 �
0 �
0
�
1 �
1 �
1 �
1 �
1
�
2 �
2 �
2 �
2 �
2
�
3 �
3 �
3 �
3 �
3
�
4 �
4 �
4 �
4 �
4
�
5 �
5 �
5 �
5 �
5
�
6 �
6 �
6 �
6 �
6
�
7 �
7 �
7 �
7 �
7
�
8 �
8 �
8 �
8 �
8
�
9 �
9 �
9 �
9 �
9
�
Benchmark
Content Focus
MA.B.1.4.3
similar figures
Content
Difficulty
Moderate
Right
Percentage of Students Answering Correctly
38
Page 37
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32
�
An artist is designing a pattern of triangular tiles to cover a wall. Each section of
the pattern is identical to the section shown below.
24 cm
10MAB241M0016
2290650
16 cm
C
ArtCodes
10MAB241M0016.AR1
If the wall is 576 cm long and 384 cm high, how many black tiles will the artist
need to use on the wall?
31%
F.
72
34%
G.
576
15%
�
Left
20%
H.
1,152
I.
1,728
Benchmark
Content Focus
MA.B.2.4.1
indirect measurement
Content
Difficulty
Moderate
Page 38
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FCAT Mathematics Released Test Book
33
�
A rectangular solid is shown below.
c
09MAC141MB762
3015619
C
b
a
ArtCodes
3015619.AR1
Which expression represents the sum of the lengths of the 12 edges on this
rectangular solid?
15%
9%
48%
Right
29%
A.
2(a � b � c)
B.
�
3(a � b � c)
C.
4(a � b � c)
D.
12(a � b � c)
Benchmark
Content Focus
MA.C.1.4.1
properties of rectangular solids
Content
Difficulty
Moderate
Page 39
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34
�
At Jerry’s annual family reunion, cheesecake was served for dessert. Jerry cut a slice
for himself, as shown below.
09MAA441MF287
3107000
C
Jerry’s slice
ArtCodes
3107000.AR1
Cheesecake
If the entire cheesecake contained 4480 calories, which is closest to the number of
calories contained in Jerry’s slice?
22%
39%
23%
Left
17%
�
F.
280 calories
G.
373 calories
H.
498 calories
I.
560 calories
Benchmark
Content Focus
MA.A.4.4.1
area estimate
Content
Difficulty
Moderate
Page 40
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FCAT Mathematics Released Test Book
35
�
Sylvia conducted a survey in her homeroom in order to report which of 3 types of
candy were liked by the 24 students. Some students chose more than one type. She
made tally marks on a chart to show the candies each student liked.
09MAE341M3924
SYLVIA’S TALLY CHART
0008290
C
ArtCodes
09MAE341M3924.AR1
Which of these Venn diagrams could represent Sylvia’s tally chart?
Hard Candy Gummy
5
4
4
ArtCodes
2
1
11
1
2
4
15
Chocolate
Chocolate
A.
Hard Candy Gummy
Hard Candy Gummy
11
4
2
C.
30%
7
4
1
5
1
2
4
15
8
Chocolate
Chocolate
23%
Right
7
8
7%
09MAE341M3924.AR2
09MAE341M3924.AR3
09MAE341M3924.AR4
09MAE341M3924.AR5
Hard Candy Gummy
B.
40%
Benchmark
Content Focus
MA.E.3.4.1
interpretation of data
�
D.
Content
Difficulty
Moderate
Page 41
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FCAT Mathematics Released Test Book
36
�
09MAD141MH600
Groups of students stood in a circle and passed a ball from one student to the next
student on the left. Another student recorded the time it took for the ball to go
completely around the circle to each student once. The table below shows the
recorded times for different numbers of students in the circle.
3152804
TIME NEEDED TO PASS THE BALL
COMPLETELY AROUND THE CIRCLE
C
Number of Students (n)
Time, in seconds (t)
5
9.5
7
13.3
9
17.1
Based on the linear relation in the table, which equation can be used to approximate
t, the time in seconds it will take for any number of students, n, to pass the ball
completely around the circle?
20%
58%
13%
Left
9%
�
F.
n � 1.9t
G.
t � 1.9n
H.
n � 0.52t
I.
t � 0.52n
Benchmark
Content Focus
MA.D.1.4.1
generalize relationships
Content
Difficulty
High
Page 42
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FCAT Mathematics Released Test Book
37 Sally is making a mosaic with ceramic tiles shaped like regular octagons, as shown in
�
the diagram below.
09MAC241GF777
3083570
C
ArtCodes
3083570.AR1
She marked all of the lines of symmetry on one tile to form triangular pieces. If she
cut the tile along all of its marked lines of symmetry, what is the total number of
triangular pieces formed?
Example of a
Correct Gridded Response:
Acceptable
Gridded Response(s)
16
1 6
/
/
/
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.
.
.
. �
.
����
0
0
0
0
0
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1
1
1
1
1
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2
2
2
2
2
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3
3
3
3
3
�����
4
4
4
4
4
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5
5
5
5
5
�����
6
6
6
6
6
�����
7
7
7
7
7
�����
8
8
8
8
8
�����
9
9
9
9
9
�����
Benchmark
Content Focus
MA.C.2.4.1
symmetry
Content
Difficulty
Moderate
Right
Percentage of Students Answering Correctly
20
Page 43
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FCAT Mathematics Released Test Book
38
�
The graph shows line l, which represents the equation y � 5x � 1.
y
09MAC241M4722
014940
5
C
l
4
3
2
1
- 5 -4 - 3 -2 - 1 0
-1
ArtCodes
1
2
3
4
5
x
-2
014940.AR1
-3
-4
-5
Which of these describes the transformation of line l to a line represented by the
equation y � 5x � 2 ?
line l shifted 3 units up
B.
line l shifted 3 units down
20%
C.
line l shifted 3 units to the left
24%
D.
line l shifted 3 units to the right
14%
Left
�
A.
42%
Benchmark
Content Focus
MA.C.2.4.1
translation
Content
Difficulty
Moderate
Page 44
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39
�
Triangle ABC has vertices at A(-4, -3), B(-2, -7) and C(4, -5).
y
10
09MAC341M1199
2289644
8
C
6
4
2
ArtCodes
-10
-8
-6
-4
-2
09MAC341M1199.AR1
0
2
4
6
8
10
x
-2
A
-4
C
-6
B
-8
Triangle RST has one vertex at R(0, 5) and one vertex at S(2, 1) and represents a slide
of triangle ABC. Which point would be T, the third vertex of triangle RST ?
13%
F.
(8, 2)
12%
G.
(5, 2)
H.
�
(6, 3)
I.
(8, 3)
18%
Right
57%
Benchmark
Content Focus
MA.C.3.4.1
transformations
Content
Difficulty
Moderate
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FCAT Mathematics Released Test Book
40
�
Segment AB represents the path of a sailboat that passed through the coordinates
(2, 2) and (5, 3).
y
09MAC342M1209
2289659
C
4
3
B
2
A
ArtCodes
1
09MAC342M1209.AR1
1
2
3
4
5
6
7
x
What is the slope of a line that represents the path of another boat that is traveling
parallel to the first boat?
9%
A.
-3
12%
B.
-1
3
C.
1
3
D.
3
53%
Left
25%
�
Benchmark
Content Focus
MA.C.3.4.2
parallelism
Content
Difficulty
Moderate
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FCAT Mathematics Released Test Book
41 The graph below represents the cost to print duplicate pictures.
�
09MAD242G6130
6
2289717
C
5
4
3
2
ArtCodes
09MAD242G6130.AR1
1
0
10
20
30
40
The Sabos just returned from a trip to Costa Rica. After developing their ten rolls of
film, they decided to print duplicate copies of some of their pictures. They chose a
total of 60 pictures for duplication. What will be the cost to print 60 duplicates?
Example of a
Correct Gridded Response:
Acceptable
Gridded Response(s)
9
9
/ �
/ �
/
�
. �
. �
. �
. �
.
�
0 �
0 �
0 �
0 �
0
�
1 �
1 �
1 �
1 �
1
�
2
2
2
2
2
�����
3
3
3
3
3
�����
4
4
4
4
4
�����
5
5
5
5
5
�����
6
6
6
6
6
�����
7
7
7
7
7
�����
8
8
8
8
8
�����
9
9
9
9
9
�����
Benchmark
Content Focus
MA.D.2.4.2
graphing equations/inequalities
Content
Difficulty
Moderate
Right
Percentage of Students Answering Correctly
38
Page 47
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FCAT Mathematics Released Test Book
42 Mr. Hobbs used box-and-whisker plots to compare the final exam scores of students
�
in two of his classes.
FINAL EXAM SCORES
09MAE141GB624
3014741
C
Class A
Class B
ArtCodes
3014741.AR1
30
40
50
60
70
80
90
100
Exam Points
Based on the information in the plots, how many points higher was the median final
exam score of Class A than the median final exam score of Class B ?
Example of a
Correct Gridded Response:
Acceptable
Gridded Response(s)
14
1 4
/ �
/ �
/
�
. �
. �
. �
. �
.
�
0
0
0
0
0
�����
1
1
1
1
1
�����
2
2
2
2
2
�����
3
3
3
3
3
�����
4
4
4
4
4
�����
5
5
5
5
5
�����
6
6
6
6
6
�����
7
7
7
7
7
�����
8
8
8
8
8
�����
9
9
9
9
9
�����
Benchmark
Content Focus
MA.E.1.4.1
box and whisker plot
Content
Difficulty
Moderate
Left
Percentage of Students Answering Correctly
38
Page 48
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43
�
09MAA144M2002
9%
F.
1.6%
9%
G.
6.25%
2171
C
11%
70%
Right
Jason earned a quiz score of 25 out of 40 points. What percent is equivalent to 25 out
of 40 ?
�
H.
16%
I.
62.5%
Benchmark
Content Focus
MA.A.1.4.4
equivalent forms of numbers
Content
Difficulty
Low
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44
�
Danny wants to buy a new car. The salesperson showed him the list of options
below that are available for the model of car he is interested in buying.
LIST OF NEW CAR OPTIONS
09MAE241MH543
3160093
Interior
Rim Style
• Cloth
• Leather
• Standard
• Aluminum
• Chrome
Color
C
•
•
•
•
•
•
Canary Yellow
Cranberry Red
Forest Green
Jet Black
Midnight Blue
Pearl White
How many combinations of 1 interior, 1 rim style, and 1 color are there for Danny to
choose from if he uses this list of options?
4%
A.
3
9%
B.
11
C.
�
18
D.
36
10%
Left
77%
Benchmark
Content Focus
MA.E.2.4.1
combinations
Content
Difficulty
Moderate
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MATHEMATICS
SUNSHINE STATE STANDARDS
TEST BOOK
Released: August 2006
Last used: March 2006
GRADE
9
MATHEMATICS
Assessment and School Performance
Florida Department of Education
Tallahassee, Florida
Copyright © 2006 State of Florida Department of State