FCAT Mathematics Sample Items for Grade 9

1
FCAT Mathematics Sample Items for Grade 9

• All questions are from the FCAT Mathematics Item
  Specification for Grades 9 and 10

2
Table of Content
Strand A Slides 3 - 13
Strand B Slides 14 - 24
Strand C Slides 25 - 30
Strand D Slides 31 - 37
Strand E Slides 38 - 46
3
MA.A.1.4.2
1) The table below identifies several atoms and
the mass in kilograms (kg) of each.
Which of the atoms in the table has
the second smallest mass?
understands the relative size of integers,
rational numbers, irrational numbers, and real
numbers. MC
9th Grade
4
MA.A.1.4.4
2) The measurements, in meters (m), of the sides
of a right triangle are shown below.
Which of the following is equivalent
to the length of the hypotenuse of this right
triangle?
understands that numbers can be represented in a
variety of equivalent forms, including integers,
fractions, decimals, percents, scientific
notation, exponents, radicals, absolute value,
and logarithms. (Also assesses A.1.4.1 and
A.1.4.3) MC, GR
9th Grade
5
MA.A.1.4.4
3) On a mathematics test, Ken earned a score of
446 points out of a possible score of 500 points.
What percent is equivalent to Kens score?
understands that numbers can be represented in a
variety of equivalent forms, including integers,
fractions, decimals, percents, scientific
notation, exponents, radicals, absolute value,
and logarithms. (Also assesses A.1.4.1 and
A.1.4.3) MC, GR
8 9 . 2
9th Grade
6
MA.A.3.4.1
4) Which of the following numbers when
multiplied by 3-2 is equal to 1?
understands and explains the effects of addition,
subtraction, multiplication, and division on real
numbers, including square roots, exponents, and
appropriate inverse relationships. (Also
assesses A.2.4.2) MC
9th Grade
7
MA.A.3.4.2
5) The Master Frame Company hired a new frame
maker. For each frame, the company supplies the
frame maker with 12 of materials and pays 15
per hour. The company charges 80 for these
frames and can determine its profit by using the
following formula. P x80 - (12 15t)
Given P profit t hours spent making 1
frame x number of frames built Which
equation shows the amount of profit earned if the
frame maker built 5 frames?
selects and justifies alternative strategies,
such as using properties of numbers, including
inverse, identity, distributive, associative,
transitive, that allow operational shortcuts for
computational procedures in real-world or
mathematical problems. (Also assesses A.2.4.2.
and A.3.3.2) MC
9th Grade
8
6) Stephen paid a 25 membership fee to join a
wholesale shopping club. His first purchase was a
case of chlorine treatment for his pool. The case
contained 4 bottles and cost 33. The cost of 1
bottle for a non-member is 10.78. How many full
cases of chlorine treatment will Stephen have to
buy from the club in order to recover the 25
membership fee?
MA.A.3.4.3
adds, subtracts, multiplies, and divides real
numbers, including square roots and exponents,
using appropriate methods of computing, such as
mental mathematics, paper and pencil, and
calculator. (Also assesses A.2.4.2) MC, GR
9th Grade
9
MA.A.3.4.3
7) Floridas population grew from 2.8 million in
1950 to 5 million in 1960. What was the percent
of increase in Floridas population from 1950 to
1960?
adds, subtracts, multiplies, and divides real
numbers, including square roots and exponents,
using appropriate methods of computing, such as
mental mathematics, paper and pencil, and
calculator. (Also assesses A.2.4.2) MC, GR
7 8 . 5 7
9th Grade
10
MA.A.4.4.1
8) The circle graph below represents the areas
of nine national parks located in Florida in
2001. The largest of these, the Everglades,
contained about 1.5 million acres in 2001. Which
of these is closest to the number of acres
contained in the other eight designated parks in
2001?
uses estimation strategies in complex situations
to predict results and to check the
reasonableness of results. (Also assesses
A.4.2.1 and B.3.4.1) MC
9th Grade
11
MA.A.4.4.1
Which of these is closest to the number of acres
contained in the other eight designated parks in
2001?
uses estimation strategies in complex situations
to predict results and to check the
reasonableness of results. (Also assesses
A.4.2.1 and B.3.4.1) MC
9th Grade
12
MA.B.1.4.1
9) A water sprinkler was installed at each
corner of the city park. A sketch of the square
park is shown below. Each sprinkler can water
exactly halfway down each side of the park.
uses concrete and graphic models to derive
formulas for finding perimeter, area, surface
area, circumference, and volume of two- and
three-dimensional shapes, including rectangular
solids, cylinders, cones, and pyramids. (Also
assesses B.1.2.2 and B.1.4.2) Grade 9 MC,
GR Grade 10 MC, GR, SR
9th Grade
13
MA.B.1.4.1
Which of the following expressions could be used
to determine the area of the park that was laid
with bricks?
uses concrete and graphic models to derive
formulas for finding perimeter, area, surface
area, circumference, and volume of two- and
three-dimensional shapes, including rectangular
solids, cylinders, cones, and pyramids. (Also
assesses B.1.2.2 and B.1.4.2) Grade 9 MC,
GR Grade 10 MC, GR, SR
9th Grade
14
MA.B.1.4.1
10) Bernard is building a model of the Great
Pyramid located in Giza, Egypt. The Great Pyramid
is approximately 450 feet high, and each side of
the square base is 750 feet long. For Bernards
scale model, 1 inch represents 25 feet. What is
the volume, in cubic inches, of Bernards model
pyramid?
uses concrete and graphic models to derive
formulas for finding perimeter, area, surface
area, circumference, and volume of two- and
three-dimensional shapes, including rectangular
solids, cylinders, cones, and pyramids. (Also
assesses B.1.2.2 and B.1.4.2) Grade 9 MC,
GR Grade 10 MC, GR, SR
5 4 0 0
9th Grade
15
MA.B.1.4.2
11) Home run hitters Mark McGwire and Sammy Sosa
often hit baseballs at speeds of 120 miles per
hour (mph). At that rate, how many feet would a
baseball travel in 1 second?
uses concrete and graphic models to derive
formulas for finding rate, distance, time, angle
measures, and arc lengths. (Also assesses
B.1.2.2) MC, GR
9th Grade
16
MA.B.1.4.2
12) The circle graph below shows that 28 of the
Walker familys monthly expenses is for housing
and 12 is for transportation.
uses concrete and graphic models to derive
formulas for finding rate, distance, time, angle
measures, and arc lengths. (Also assesses
B.1.2.2) MC, GR
9th Grade
17
MA.B.1.4.2
How many degrees greater is the measure of the
angle that represents housing than the measure of
the angle that represents transportation?
uses concrete and graphic models to derive
formulas for finding rate, distance, time, angle
measures, and arc lengths. (Also assesses
B.1.2.2) MC, GR
5 7 . 6
9th Grade
18
MA.B.1.4.3
13) The nutrition label on a bag of chocolate
chip cookies is shown below.
relates the concepts of measurement to similarity
and proportionality in real-world
situations. Grade 9 MC, GR Grade 10 (Assessed
with C.2.4.1)
Lyle ate 7 cookies from this bag. How many
calories from fat did he consume?
9th Grade
19
MA.B.1.4.3
Lyle ate 7 cookies from this bag. How many
calories from fat did he consume?
relates the concepts of measurement to similarity
and proportionality in real-world
situations. Grade 9 MC, GR Grade 10 (Assessed
with C.2.4.1)
9th Grade
20
MA.B.1.4.3
14) A high school soccer field that meets the
regulation size requirements measures 100 yards
long by 60 yards wide.
relates the concepts of measurement to similarity
and proportionality in real-world
situations. Grade 9 MC, GR Grade 10 (Assessed
with C.2.4.1)
Palmas Verdes High School uses a practice soccer
field that is similar in shape, but with a length
20 yards less than the length of this regulation
field. What is the width, in yards, of the
schools practice field?
9th Grade
21
MA.B.1.4.3
A high school soccer field that meets the
regulation size requirements measures 100 yards
long by 60 yards wide. Palmas Verdes High School
uses a practice soccer field that is similar in
shape, but with a length 20 yards less than the
length of this regulation field. What is the
width, in yards, of the schools practice field?
relates the concepts of measurement to similarity
and proportionality in real-world
situations. Grade 9 MC, GR Grade 10 (Assessed
with C.2.4.1)
4 8
9th Grade
22
MA.B.2.4.1
selects and uses direct (measured) or indirect
(not measured) methods of measurement as
appropriate. Grade 9 MC, GR Grade 10 MC
15) A catering company is preparing for a
fundraiser that will be attended by 150 people.
The punch served will be made of equal parts
ginger ale and juice. The ginger ale will be
purchased in bottles that contain 0.528 gallon
each. What is the minimum number of bottles of
ginger ale needed so that each person can have 2
servings of punch that are 8 ounces each?
9th Grade
23
MA.B.2.4.1
16) Doug is visiting Fira, the capital of the
Greek island Santorini. There are 566 steps in
the stairway leading from the Aegean Sea to the
city. Each step is 0.46 meter high. Doug has
already climbed 25 of the steps to the city. To
the nearest thousandth of a kilometer, how many
kilometers does Doug have left to climb?
selects and uses direct (measured) or indirect
(not measured) methods of measurement as
appropriate. Grade 9 MC, GR Grade 10 MC
. 1 5 6
9th Grade
24
MA.B.2.4.2
solves real-world problems involving rated
measures (miles per hour, feet per second).
(Also assesses B.2.3.2) MC, GR
17) Diedra works at a computer store and earns a
12 bonus for each computer she sells. Her bonus
check was 756 for 21 days of work. If she sold
the same number of computers each day, how many
computers did Diedra sell per day?
9th Grade
25
MA.B.2.4.2
18) Trenton and Bianca will be hiking on the
Appalachian Trail beginning at Katahdin, Maine,
through New Hampshire and Vermont, to the
Vermont-Massachusetts border.
solves real-world problems involving rated
measures (miles per hour, feet per second).
(Also assesses B.2.3.2) MC, GR
9th Grade
26
MA.B.2.4.2
19) They expect to travel at a rate of 12 miles
per day. How many days of hiking will it take
them to reach the Massachusetts border?
solves real-world problems involving rated
measures (miles per hour, feet per second).
(Also assesses B.2.3.2) MC, GR
4 9
9th Grade
27
MA.C.1.4.1
20) Figure ABCD is a rhombus. The length of line
segment AB measures (x 5), and the length of
line segment BC measures (2x). Which
statement explains why the equation 2x x 5
can be used to solve for x ?
uses properties and relationships of geometric
shapes to construct formal and informal proofs.
(Also assesses C.1.2.1 and C.1.3.1) MC, GR
9th Grade
28
MA.C.1.4.1
21) Mark baked a circular pie with center B as
shown below. Susie cut a slice of pie as shown by
ABC. The measure of ABC is 72. What percent of
the pie remains?
uses properties and relationships of geometric
shapes to construct formal and informal proofs.
(Also assesses C.1.2.1 and C.1.3.1) MC, GR
8 0
9th Grade
29
MA.C.2.4.1
22) Which of the following graphs best
represents a curve that is symmetric with respect
to only the y-axis?
understands geometric concepts such as
perpendicularity, parallelism, tangency, congruenc
y, similarity, reflections, symmetry, and
transformations including flips (reflections),
slides (translations), turns (rotations),enlargeme
nts , rotations, and fractals. (Also assesses
B.1.4.3, C.1.4.1, andC.3.4.1) Grade 9 MC,
GR Grade 10 MC, GR, ER
9th Grade
30
MA.C.2.4.1
23) In triangle ABC below, hypotenuse AC is on
AD. What is the measure, in degrees, of angle
BAC ?
understands geometric concepts such as
perpendicularity, parallelism, tangency, congruenc
y, similarity, reflections, symmetry, and
transformations including flips (reflections),
slides (translations), turns (rotations),enlargeme
nts , rotations, and fractals. (Also assesses
B.1.4.3, C.1.4.1, andC.3.4.1) Grade 9 MC,
GR Grade 10 MC, GR, ER
7 0
9th Grade
31
MA.C.3.4.1
24) Tila is creating the letters for a Value
Day Sale sign for her store on a coordinate
grid. What should the missing coordinate be on
the graph to make the letter V symmetric about
the y-axis?
represents and applies geometric properties and
relationships to solve real-world and
mathematical problems including ratio,
proportion, and properties of right triangle
trigonometry. (Also assesses C.2.4.1) MC, GR
9th Grade
32
MA.C.3.4.1
represents and applies geometric properties and
relationships to solve real-world and
mathematical problems including ratio,
proportion, and properties of right triangle
trigonometry. (Also assesses C.2.4.1) MC, GR
9th Grade
33
MA.C.3.4.1

• The graph of AB below represents the equation
• y 2x - 2. If AB is reflected once over
  the x-axis, what would be the new value of y when
  x 0?

represents and applies geometric properties and
relationships to solve real-world and
mathematical problems including ratio,
proportion, and properties of right triangle
trigonometry. (Also assesses C.2.4.1) MC, GR
2
9th Grade
34
MA.C.3.4.2
26) The graph of line l is shown below. Which
of the following is an equation of a line that is
parallel to line l in the graph?
using a rectangular coordinate system (graph),
applies and algebraically verifies properties of
two- and three-dimensional figures, including
distance, midpoint, slope, parallelism, and
perpendicularity. (Also assesses C.3.3.2 and
D.2.4.1) Grade 9 MC, GR Grade 10 MC, GR, SR
9th Grade
35
27) The graph below shows the path of a
microwave signal transmitted from point A at the
top of a mountain to point B in the valley. Each
grid square measures 1 mile by 1 mile. What is
the distance, in miles, between points A and B ?
MA.C.3.4.2
using a rectangular coordinate system (graph),
applies and algebraically verifies properties of
two- and three-dimensional figures, including
distance, midpoint, slope, parallelism, and
perpendicularity. (Also assesses C.3.3.2 and
D.2.4.1) Grade 9 MC, GR Grade 10 MC, GR, SR
9th Grade
36
MA.C.3.4.2
What is the distance, in miles, between points A
and B ?
using a rectangular coordinate system (graph),
applies and algebraically verifies properties of
two- and three-dimensional figures, including
distance, midpoint, slope, parallelism, and
perpendicularity. (Also assesses C.3.3.2 and
D.2.4.1) Grade 9 MC, GR Grade 10 MC, GR, SR
1 5
9th Grade
37
MA.D.1.4.1
describes, analyzes, and generalizes
relationships, patterns, and functions using
words, symbols, variables, tables, and
graphs. MC, GR
28) Many authors and publishers charge fees for
the rights to produce their plays. One community
theater is being charged 1500 plus 6.5 of the
ticket sales. If s ticket sales, and c total
charges, which of the following equations shows
how to determine the total charges?
9th Grade
38
MA.D.1.4.1
29) The table shows values of x and y for the
equation 2x2 - y 0. What value of y makes
this equation true when x 3?
describes, analyzes, and generalizes
relationships, patterns, and functions using
words, symbols, variables, tables, and
graphs. MC, GR
1 8
9th Grade
39
30) A cosmetic company currently sells its face
soap in cylindrical jars that have a height of 2
inches (in.) and a radius of 1.5 inches. The
company wants to enlarge its jars to put more
face soap in each jar. They want the new jar to
have exactly twice the volume of the current jar.
Which change in dimensions will achieve this
goal?
MA.D.1.4.2
determines the impact when changing parameters of
given functions. Grade 9 MC, GR Grade 10 MC,
GR, SR
9th Grade
40
MA.D.1.4.2
31) The telephone company that Deon uses for
long-distance calls charges a flat fee of 10.00
per month plus 0.25 per minute of usage. Deons
long-distance bill for February was 22.25. The
charge per minute was changed to 0.20 for March.
If Deon used the same number of minutes in March
as he did in February, what will Deons savings
be, in dollars, for his total long-distance bill?
determines the impact when changing parameters of
given functions. Grade 9 MC, GR Grade 10 MC,
GR, SR
2 . 4 5
9th Grade
41
MA.D.2.4.2
32) To get the full benefit from aerobic
exercise, an athletes heart rate should reach a
target rate. To figure the appropriate target
heart rate, the formula 198 - 0.9a T may be
used, where T represents the target heart rate
and a represents the athletes age. Which of the
following equations is equivalent to 198 - 0.9a
T ?
uses systems of equations and inequalities to
solve real-world problems graphically,
algebraically, and with matrices. (Also
assesses D.2.3.1, D.2.3.2, and D.2.4.1) Grade 9
MC, GR Grade 10 MC, GR, SR
9th Grade
42
MA.D.2.4.2
33) At Mathematics Field Day, the mathematics
club plans to give each participant a math pin.
The company that manufactures the pins charges
1.10 per pin and a one-time design fee of 45.
Because the club is sponsored by the school, no
tax will be added. If the club spends no more
than 150 on the pins, what is the greatest
number of math pins the club can order?
uses systems of equations and inequalities to
solve real-world problems graphically,
algebraically, and with matrices. (Also
assesses D.2.3.1, D.2.3.2, and D.2.4.1) Grade 9
MC, GR Grade 10 MC, GR, SR
9 5
9th Grade
43
MA.E.1.4.1
34) The box-and-whisker plot below shows the
number of points the Chicago Bulls scored per
game in February 1998. Which of the following
statements is a correct interpretation of the
box-and-whisker plot?
interprets data that has been collected,
organized, and displayed in charts, tables, and
plots. (Also assesses E.1.3.1 and
E.1.4.3) Grade 9 MC, GR Grade 10 MC, GR, ER
9th Grade
44
MA.E.1.4.1
35) The following stem-and-leaf plot shows the
hourly wages of a group of 25 workers. The
workers are performing similar tasks but, because
of differences in length of work experience and
skill, are paid at different rates. What percent
of the workers are paid less than 18 per hour ?
interprets data that has been collected,
organized, and displayed in charts, tables, and
plots. (Also assesses E.1.3.1 and
E.1.4.3) Grade 9 MC, GR Grade 10 MC, GR, ER
5 6
9th Grade
45
36) The number of portable buildings produced by
Chambers Manufacturing last week was 70 on
Monday, 60 on Tuesday, 80 on Wednesday, and 50 on
Thursday. After production on Friday, the mean
number of buildings produced for the week was 67.
What is the median number of buildings produced
last week by Chambers Manufacturing?
MA.E.1.4.2
calculates measures of central tendency (mean,
median, and mode) and dispersion (range, standard
deviation, and variance) for complex sets of data
and determines the most meaningful measure
to describe the data. (Also assesses
E.1.4.3) MC, GR
9th Grade
46
MA.E.1.4.2
37) Ed bowled six games at Jordans Bowlerama.
For the first 5 games that Ed bowled, his mean
score was 120. He bowled a score of 180 for his
6th game. What was his mean bowling score for all
6 games?
calculates measures of central tendency (mean,
median, and mode) and dispersion (range, standard
deviation, and variance) for complex sets of data
and determines the most meaningful measure
to describe the data. (Also assesses
E.1.4.3) MC, GR
1 3 0
9th Grade
47
MA.E.2.4.1
38) A fair coin is tossed twice. What is the
probability that the coin will show heads both
times?
determines probabilities using counting
procedures, tables, tree diagrams, and formulas
for permutations and combinations. (Also
assesses E.2.4.2) MC, GR
9th Grade
48
MA.E.2.4.1
39) Students at Sawgrass High School will begin
wearing uniforms in P. E. classes in the fall.
Each student will have 3 different-colored
shirts, black, red, and white, and 3
different-colored pairs of shorts, black, red,
and white. If a students uniform consists of 1
shirt and 1 pair of shorts, what is the total
number of different uniforms the student can
wear?
determines probabilities using counting
procedures, tables, tree diagrams, and formulas
for permutations and combinations. (Also
assesses E.2.4.2) MC, GR
9
9th Grade
49
MA.E.3.4.1
40) The table below reports the approximate
lowest frequency and the approximate highest
frequency of the hearing ranges for humans and
five other animals. Frequency is measured in
Hertz (Hz), which is 1 vibration per second.
designs and performs real-world statistical
experiments that involve more than one variable,
then analyzes results and reports findings.
(Also assesses E.3.3.1 and E.3.4.2) MC
Which of the following statements is NOT
supported by the data given in the table?
9th Grade
50
MA.E.3.4.1
designs and performs real-world statistical
experiments that involve more than one variable,
then analyzes results and reports findings.
(Also assesses E.3.3.1 and E.3.4.2) MC
Which of the following statements is NOT
supported by the data given in the table?
9th Grade